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ANGULAR MOMENTUM-OPERATOR

  • Angular momentum operator
  • Quantum mechanical operator related to rotational symmetry

    mechanics, the angular momentum operator is one of several related operators analogous to classical angular momentum. The angular momentum operator plays a central

    Angular momentum operator

    Angular_momentum_operator

  • Angular momentum
  • Conserved physical quantity; rotational analogue of linear momentum

    Angular momentum (sometimes called moment of momentum or rotational momentum) is the rotational analog of linear momentum. It is an important physical

    Angular momentum

    Angular momentum

    Angular_momentum

  • Angular momentum coupling
  • Coupling in quantum physics

    mechanics, angular momentum coupling is the procedure of constructing eigenstates of total angular momentum out of eigenstates of separate angular momenta

    Angular momentum coupling

    Angular_momentum_coupling

  • Spin (physics)
  • Intrinsic quantum property of particles

    Spin is an intrinsic form of angular momentum carried by elementary particles, and thus by composite particles such as hadrons, atomic nuclei, and atoms

    Spin (physics)

    Spin_(physics)

  • Angular momentum of light
  • Physical quantity carried in photons

    The angular momentum of light is a vector quantity that expresses the amount of dynamical rotation present in the electromagnetic field of the light. While

    Angular momentum of light

    Angular momentum of light

    Angular_momentum_of_light

  • Azimuthal quantum number
  • Quantum number denoting orbital angular momentum

    for an atomic orbital that determines its orbital angular momentum and describes aspects of the angular shape of the orbital. The azimuthal quantum number

    Azimuthal quantum number

    Azimuthal quantum number

    Azimuthal_quantum_number

  • Total angular momentum quantum number
  • Quantum number related to rotational symmetry

    angular momentum (i.e., its spin). If s is the particle's spin angular momentum and ℓ its orbital angular momentum vector, the total angular momentum

    Total angular momentum quantum number

    Total_angular_momentum_quantum_number

  • Clebsch–Gordan coefficients
  • Coefficients in angular momentum eigenstates of quantum systems

    numbers that arise in angular momentum coupling in quantum mechanics. They appear as the expansion coefficients of total angular momentum eigenstates in an

    Clebsch–Gordan coefficients

    Clebsch–Gordan_coefficients

  • Tensor operator
  • Tensor operator generalizes the notion of operators which are scalars and vectors

    description of angular momentum in quantum mechanics and spherical harmonic functions. The coordinate-free generalization of a tensor operator is known as

    Tensor operator

    Tensor operator

    Tensor_operator

  • Ladder operator
  • Raising and lowering operators in quantum mechanics

    oscillator and angular momentum. There is a relationship between the raising and lowering ladder operators and the creation and annihilation operators commonly

    Ladder operator

    Ladder_operator

  • Spin angular momentum (disambiguation)
  • Topics referred to by the same term

    quantum-mechanical angular momentum operator This disambiguation page lists articles associated with the title Spin angular momentum. If an internal link

    Spin angular momentum (disambiguation)

    Spin_angular_momentum_(disambiguation)

  • Relativistic angular momentum
  • Angular momentum in special and general relativity

    physics, relativistic angular momentum encompasses to the mathematical formalisms and physical concepts that define angular momentum in special relativity

    Relativistic angular momentum

    Relativistic angular momentum

    Relativistic_angular_momentum

  • Rotation operator (quantum mechanics)
  • Quantum operator

    {\mathbf {J} }}} is angular momentum operator, and ℏ {\displaystyle \hbar } is the reduced Planck constant. The rotation operator R ⁡ ( z , θ ) {\displaystyle

    Rotation operator (quantum mechanics)

    Rotation_operator_(quantum_mechanics)

  • Angular momentum diagrams (quantum mechanics)
  • Pictorial computational technique in quantum chemistry

    notably quantum chemistry, angular momentum diagrams, or more accurately from a mathematical viewpoint angular momentum graphs, are a diagrammatic method

    Angular momentum diagrams (quantum mechanics)

    Angular_momentum_diagrams_(quantum_mechanics)

  • Wigner–Eckart theorem
  • Theorem used in quantum mechanics for angular momentum calculations

    tensor operators in the basis of angular momentum eigenstates can be expressed as the product of two factors, one of which is independent of angular momentum

    Wigner–Eckart theorem

    Wigner–Eckart_theorem

  • Canonical commutation relation
  • Relation satisfied by conjugate variables in quantum mechanics

    }{\hbar c}}\right)} and Λ = Λ(x,t) is the gauge function. The angular momentum operator is L = r × p {\displaystyle L=r\times p\,\!} and obeys the canonical

    Canonical commutation relation

    Canonical_commutation_relation

  • Photon polarization
  • Quantum explanation of electromagnetic polarization

    {L}}\vert ^{2}.} An operator S has been associated with an observable quantity, the spin angular momentum. The eigenvalues of the operator are the allowed

    Photon polarization

    Photon_polarization

  • Spherical coordinate system
  • Coordinates comprising a distance and two angles

    reduces to vector calculus in polar coordinates. The corresponding angular momentum operator then follows from the phase-space reformulation of the above,

    Spherical coordinate system

    Spherical coordinate system

    Spherical_coordinate_system

  • Orbital angular momentum (disambiguation)
  • Topics referred to by the same term

    Orbital angular momentum is a concept in classical mechanics. It may also refer to: One of three main quantum angular momentum operators Orbital angular momentum

    Orbital angular momentum (disambiguation)

    Orbital_angular_momentum_(disambiguation)

  • Jordan map
  • of quantum angular momentum, predicated on the action of these operators on Fock states built of arbitrary higher powers of such operators. For instance

    Jordan map

    Jordan_map

  • Orbital angular momentum of light
  • Type of angular momentum in light

    The orbital angular momentum of light (OAM) is the component of angular momentum of a light beam that is dependent on the field spatial distribution, and

    Orbital angular momentum of light

    Orbital angular momentum of light

    Orbital_angular_momentum_of_light

  • Coupling (physics)
  • Two systems are coupled if they are interacting with each other

    coupled angular momenta. Due to the conservation of angular momentum and the nature of the angular momentum operator, the total angular momentum is always

    Coupling (physics)

    Coupling_(physics)

  • Orbital angular momentum of free electrons
  • Quantised attribute of electrons in free space

    can carry quantized orbital angular momentum (OAM) projected along the direction of propagation. This orbital angular momentum corresponds to helical wavefronts

    Orbital angular momentum of free electrons

    Orbital angular momentum of free electrons

    Orbital_angular_momentum_of_free_electrons

  • Spinor spherical harmonics
  • Special functions on a sphere

    basis for the angular momentum operator, the spinor spherical harmonics are a basis for the total angular momentum operator (angular momentum plus spin)

    Spinor spherical harmonics

    Spinor_spherical_harmonics

  • Rigid rotor
  • Model of rotating physical systems

    rotor angular momentum operators is given here (but beware, they must be multiplied with ℏ {\displaystyle \hbar } ). The body-fixed angular momentum operators

    Rigid rotor

    Rigid_rotor

  • Moment of inertia
  • Scalar measure of the rotational inertia with respect to a fixed axis of rotation

    object. Alternatively it can also be written in terms of the angular momentum operator [ r ] x = r × x {\displaystyle [\mathbf {r} ]\mathbf {x} =\mathbf

    Moment of inertia

    Moment of inertia

    Moment_of_inertia

  • Coherent state
  • Specific quantum state of a quantum harmonic oscillator

    quantum system with angular momentum operator J = ( J x , J y , J z ) {\displaystyle \mathbf {J} =(J_{x},J_{y},J_{z})} and angular momentum quantum number

    Coherent state

    Coherent_state

  • Complete set of commuting observables
  • Concept in quantum mechanics

    commuting operators, we can find a unitary transformation which will simultaneously diagonalize all of them. Two components of the angular momentum operator L

    Complete set of commuting observables

    Complete_set_of_commuting_observables

  • Casimir element
  • Distinguished element of a Lie algebra's center

    algebra of a Lie algebra. A prototypical example is the squared angular momentum operator, which is a Casimir element of the three-dimensional rotation

    Casimir element

    Casimir_element

  • Quantum mechanics of nuclear magnetic resonance spectroscopy
  • Theory of NMR spectroscopy based on Quantum mechanics

    spectroscopy uses the intrinsic magnetic moment that arises from the spin angular momentum of a spin-active nucleus. If the element of interest has a nuclear

    Quantum mechanics of nuclear magnetic resonance spectroscopy

    Quantum_mechanics_of_nuclear_magnetic_resonance_spectroscopy

  • Hamiltonian (quantum mechanics)
  • Quantum operator for the sum of energies of a system

    {J}}_{y}} , and J ^ z {\displaystyle {\hat {J}}_{z}} are the total angular momentum operators (components), about the x {\displaystyle x} , y {\displaystyle

    Hamiltonian (quantum mechanics)

    Hamiltonian_(quantum_mechanics)

  • Spin angular momentum of light
  • Angular momentum deriving from photon spin

    The spin angular momentum of light (SAM) is the component of angular momentum of light that is associated with the quantum spin and the rotation between

    Spin angular momentum of light

    Spin_angular_momentum_of_light

  • Operator (physics)
  • Function acting on the space of physical states in physics

    any linear operator for some observable A (such as position, momentum, energy, angular momentum etc.). If ψ is an eigenfunction of the operator A ^ {\displaystyle

    Operator (physics)

    Operator_(physics)

  • Dicke state
  • Quantum state

    two-state atoms. A Dicke state is the simultaneous eigenstate of the angular momentum operators J → 2 {\displaystyle {\vec {J}}^{2}} and J z . {\displaystyle

    Dicke state

    Dicke_state

  • Laplace–Runge–Lenz vector
  • Vector used in astronomy

    operator, and I is the identity operator. Applying these ladder operators to the eigenstates |ℓmn〉 of the total angular momentum, azimuthal angular momentum

    Laplace–Runge–Lenz vector

    Laplace–Runge–Lenz_vector

  • Orbital motion (quantum)
  • Quantum mechanical property

    orbital angular momentum (the angular momentum about the axis of rotation) and spin angular momentum, which is the object's angular momentum about its

    Orbital motion (quantum)

    Orbital motion (quantum)

    Orbital_motion_(quantum)

  • Tensor
  • Algebraic object with geometric applications

    tensor), used to represent momentum fluxes Spherical tensor operators are the eigenfunctions of the quantum angular momentum operator in spherical coordinates

    Tensor

    Tensor

    Tensor

  • Pauli matrices
  • Matrices important in quantum mechanics and the study of spin

    above. In quantum mechanics, each Pauli matrix is related to an angular momentum operator that corresponds to an observable describing the spin of a spin

    Pauli matrices

    Pauli matrices

    Pauli_matrices

  • Mass-to-charge ratio
  • Physical quantity of interest in chemistry and electrodynamics

    the total angular momentum operator J, with J = L + S {\displaystyle \mathbf {J} =\mathbf {L} +\mathbf {S} } where S is the spin operator with eigenvalue

    Mass-to-charge ratio

    Mass-to-charge ratio

    Mass-to-charge_ratio

  • Van Vleck paramagnetism
  • Magnetic property

    orbital angular momentum operator, S {\displaystyle \mathbf {S} } the spin and r ⊥ {\displaystyle r_{\perp }} is the component of the position operator orthogonal

    Van Vleck paramagnetism

    Van_Vleck_paramagnetism

  • Hydrogen-like atom
  • Atoms with a single valence electron, so they behave like hydrogen

    hydrogen-like atomic orbitals are eigenfunctions of the one-electron angular momentum operator L (more precisely, its square, L2) and its z-component Lz. A hydrogen-like

    Hydrogen-like atom

    Hydrogen-like_atom

  • Spherical harmonics
  • Special mathematical functions defined on the surface of a sphere

    \mathbb {C} } are eigenfunctions of the square of the orbital angular momentum operator − i ℏ r × ∇ , {\displaystyle -i\hbar \mathbf {r} \times \nabla

    Spherical harmonics

    Spherical harmonics

    Spherical_harmonics

  • Uncertainty principle
  • Foundational principle in quantum physics

    {\frac {\hbar }{2}}.} Angular momentum uncertainty relation: For two orthogonal components of the total angular momentum operator of an object: σ J i σ

    Uncertainty principle

    Uncertainty principle

    Uncertainty_principle

  • Eigenvalues and eigenvectors
  • Concepts from linear algebra

    kx=\omega ^{2}mx} where ω2 is the eigenvalue and ω is the (imaginary) angular frequency. The principal vibration modes are different from the principal

    Eigenvalues and eigenvectors

    Eigenvalues_and_eigenvectors

  • Symmetry in quantum mechanics
  • Properties underlying modern physics

    and spin angular momentum operators satisfy. Therefore, A and B form operator algebras analogous to angular momentum; same ladder operators, z-projections

    Symmetry in quantum mechanics

    Symmetry in quantum mechanics

    Symmetry_in_quantum_mechanics

  • Zeeman effect
  • Spectral line splitting in magnetic field

    electronic angular momentum, and g {\displaystyle g} is the Landé g-factor. A more accurate approach is to take into account that the operator of the magnetic

    Zeeman effect

    Zeeman effect

    Zeeman_effect

  • Spin 1/2
  • Elementary particles with a spin of 1/2

    relations as other angular momentum operators. One consequence of the generalized uncertainty principle is that the spin projection operators (which measure

    Spin 1/2

    Spin 1/2

    Spin_1/2

  • Hydrogen atom
  • Atom of the element hydrogen

    as simultaneous eigenstates of the angular momentum operator. This corresponds to the fact that angular momentum is conserved in the orbital motion of

    Hydrogen atom

    Hydrogen atom

    Hydrogen_atom

  • Universal enveloping algebra
  • Concept in mathematics

    ^{ij}=\delta ^{ij}} , and so the squared angular momentum operator for the rotation group is that Casimir operator. That is, C ( 2 ) = L 2 = e 1 ⊗ e 1 +

    Universal enveloping algebra

    Universal_enveloping_algebra

  • Pauli–Lubanski pseudovector
  • Operator in quantum field theory

    pseudovector is an operator defined from the momentum and angular momentum, used in the quantum-relativistic description of angular momentum. It is named after

    Pauli–Lubanski pseudovector

    Pauli–Lubanski pseudovector

    Pauli–Lubanski_pseudovector

  • Atomic orbital
  • Function describing an electron in an atom

    respectively correspond to an electron's energy, its orbital angular momentum, and its orbital angular momentum projected along a chosen axis (magnetic quantum number)

    Atomic orbital

    Atomic orbital

    Atomic_orbital

  • Holstein–Primakoff transformation
  • Transformation in quantum mechanics

    are the three components of the angular momentum operators, which are crucial in many quantum systems. These operators are complicated, and one would like

    Holstein–Primakoff transformation

    Holstein–Primakoff_transformation

  • Lie algebra representation
  • Writing Lie algebra sets as matrices

    collection of operators on V {\displaystyle V} satisfying some fixed set of commutation relations, such as the relations satisfied by the angular momentum operators

    Lie algebra representation

    Lie algebra representation

    Lie_algebra_representation

  • Momentum
  • Property of a mass in motion

    In Newtonian mechanics, momentum (pl.: momenta or momentums; more specifically linear momentum or translational momentum) is the product of the mass and

    Momentum

    Momentum

    Momentum

  • T-symmetry
  • Time reversal symmetry in physics

    J_{y}}K} where J y {\displaystyle J_{y}} is the y-component of the angular momentum operator and K {\displaystyle K} is complex conjugation, as before. This

    T-symmetry

    T-symmetry

    T-symmetry

  • First quantization
  • Converting classical mechanics to quantum mechanics

    being rather close to the correct expression for the orbital angular momentum operator's (eigenvalue) quantum number for large values of the quantum number

    First quantization

    First_quantization

  • Self-adjoint operator
  • Linear operator equal to its own adjoint

    physical observables such as position, momentum, angular momentum and spin are represented by self-adjoint operators on a Hilbert space. Of particular significance

    Self-adjoint operator

    Self-adjoint_operator

  • Isospin multiplet
  • but differ in electric charges. Isospin formally behaves as an angular momentum operator and thus satisfies the appropriate canonical commutation relations

    Isospin multiplet

    Isospin_multiplet

  • Planck constant
  • Physical constant in quantum mechanics

    relates the energy of a photon to its angular frequency, and the linear momentum of a particle to the angular wavenumber of its associated matter wave

    Planck constant

    Planck_constant

  • Anti-symmetric operator
  • Raising and lowering operators

    oscillator and angular momentum. Another type of operator in quantum field theory, discovered in the early 1970s, is known as the anti-symmetric operator. This

    Anti-symmetric operator

    Anti-symmetric_operator

  • Stern–Gerlach experiment
  • 1922 physical experiment demonstrating that atomic spin is quantized

    Stern–Gerlach experiment demonstrated that the spatial orientation of angular momentum is quantized. Thus an atomic-scale system was shown to have intrinsically

    Stern–Gerlach experiment

    Stern–Gerlach experiment

    Stern–Gerlach_experiment

  • Spin–orbit interaction
  • Relativistic interaction in quantum physics

    ΔH. To find out what basis this is, we first define the total angular momentum operator J = L + S . {\displaystyle \mathbf {J} =\mathbf {L} +\mathbf {S}

    Spin–orbit interaction

    Spin–orbit_interaction

  • Configuration state function
  • Linear combination of Slater determinants

    eigenstate of the square of the angular momentum operator, L ^ 2 {\displaystyle {\hat {L}}^{2}} the z-projection of angular momentum L ^ z {\displaystyle {\hat

    Configuration state function

    Configuration_state_function

  • Spinors in three dimensions
  • Spin representations of the SO(3) group

    total angular momentum operator, J → {\displaystyle {\vec {\mathbb {J} }}} , of a particle corresponds to the sum of the orbital angular momentum (i.e

    Spinors in three dimensions

    Spinors_in_three_dimensions

  • Selection rule
  • Formal constraint in quantum mechanics

    the total angular momentum of the atom is F = I + J , {\displaystyle F=I+J,} where I {\displaystyle I} is the nuclear spin angular momentum and J {\displaystyle

    Selection rule

    Selection_rule

  • Wehrl entropy
  • Classic entropy of a quantum-mechanical density matrix

    angular momentum J, and shall denote by S = ( S x , S y , S z ) {\displaystyle \mathbf {S} =(S_{x},S_{y},S_{z})} the usual angular momentum operators

    Wehrl entropy

    Wehrl_entropy

  • Light front quantization
  • Technique in computational quantum field theory

    the modulus k = | k → | {\displaystyle k=|{\vec {k}}|} . The angular momentum operator reads: J → = − i [ k → × ∂ k → ] {\displaystyle {\vec {J}}=-i[{\vec

    Light front quantization

    Light front quantization

    Light_front_quantization

  • Galilei-covariant tensor formulation
  • Tensor formulation of non-relativistic physics

    i {\displaystyle J_{i}} stands for a generator of rotations (angular momentum operator). The generator P 5 {\displaystyle P_{5}} is a Casimir invariant

    Galilei-covariant tensor formulation

    Galilei-covariant_tensor_formulation

  • Position and momentum spaces
  • Physical spaces representing position and momentum, Fourier-transform duals

    the dynamics of the system. This form may be more useful when momentum or angular momentum enters the Lagrangian. In Hamiltonian mechanics, unlike Lagrangian

    Position and momentum spaces

    Position_and_momentum_spaces

  • Phase factor
  • Type of complex number

    quantum state functions. For example, the eigenfunctions of the angular momentum operator are uniquely defined "except for a phase factor". In defining

    Phase factor

    Phase_factor

  • Degrees of freedom (physics and chemistry)
  • Independent parameter describing the state of a physical system

    function, and operators which correspond to other degrees of freedom have discrete spectra. For example, intrinsic angular momentum operator (which corresponds

    Degrees of freedom (physics and chemistry)

    Degrees_of_freedom_(physics_and_chemistry)

  • Relativistic quantum mechanics
  • Quantum mechanics taking into account particles near or at the speed of light

    Hamiltonian operators, since the latter can become extremely complicated, see (for example) Weinberg (1995). In non-relativistic QM, the angular momentum operator

    Relativistic quantum mechanics

    Relativistic_quantum_mechanics

  • Singlet state
  • Special low-energy state in quantum mechanics

    term "singlet" originally meant a linked set of particles whose net angular momentum is zero, that is, whose overall spin quantum number s = 0 {\displaystyle

    Singlet state

    Singlet state

    Singlet_state

  • Introduction to the mathematics of general relativity
  • relativity, used to represent momentum fluxes Spherical tensor operators are the eigenfunctions of the quantum angular momentum operator in spherical coordinates

    Introduction to the mathematics of general relativity

    Introduction_to_the_mathematics_of_general_relativity

  • Particle in a spherically symmetric potential
  • Quantum mechanics concept for systems with central potentials, such as atoms

    {L}}^{2}\right].} where L ^ 2 {\displaystyle {\hat {L}}^{2}} is the angular momentum operator (specifically, its magnitude squared). It's defined (non-dimensionally)

    Particle in a spherically symmetric potential

    Particle in a spherically symmetric potential

    Particle_in_a_spherically_symmetric_potential

  • Squeezed coherent state
  • Type of quantum state

    to consider the atoms as spin-1/2 particles with corresponding angular momentum operators defined as J v = ∑ i = 1 N j v ( i ) {\displaystyle J_{v}=\sum

    Squeezed coherent state

    Squeezed coherent state

    Squeezed_coherent_state

  • Weyl equation
  • Relativistic wave equation describing massless fermions

    the particles, the projection of angular momentum operator J {\displaystyle \mathbf {J} } onto the linear momentum p {\displaystyle \mathbf {p} } : p

    Weyl equation

    Weyl equation

    Weyl_equation

  • Galilean transformation
  • Concept in physics and mathematics

    (Galileian boosts), and Lij stands for a generator of rotations (angular momentum operator). This Lie Algebra is seen to be a special classical limit of

    Galilean transformation

    Galilean_transformation

  • Schrödinger group
  • Symmetry group

    P_{a},K_{a},H} are generators of rotations (angular momentum operator), spatial translations (momentum operator), Galilean boosts and time translation (Hamiltonian)

    Schrödinger group

    Schrödinger_group

  • Pauli equation
  • Quantum mechanical equation of motion of charged particles in magnetic field

    } where L ^ {\textstyle \mathbf {\hat {L}} } is the particle angular momentum operator and we neglected terms in the magnetic field squared B 2 {\textstyle

    Pauli equation

    Pauli_equation

  • Helium atom
  • Atom of helium

    commutes with all spin operators. Since it is also rotationally invariant, the total x, y or z component of angular momentum operator also commutes with the

    Helium atom

    Helium atom

    Helium_atom

  • Good quantum number
  • {J}}={\boldsymbol {L}}+{\boldsymbol {S}}} , which is the total angular momentum operator. In other words, m l , m s {\displaystyle m_{\text{l}},m_{s}}

    Good quantum number

    Good_quantum_number

  • Slater–Condon rules
  • Rules in computational chemistry

    Examples are the kinetic energy, dipole moment, and total angular momentum operators. A one-body operator in an N-particle system is decomposed as G ^ 1 = ∑

    Slater–Condon rules

    Slater–Condon_rules

  • Representation theory of the Galilean group
  • Representation theory of the symmetries of non-relativistic quantum space

    translations (momentum operator), Ci is the generator of Galilean boosts, and Lij stands for a generator of rotations (angular momentum operator). The central

    Representation theory of the Galilean group

    Representation theory of the Galilean group

    Representation_theory_of_the_Galilean_group

  • Orbital magnetization
  • Quantized magnetization of charged particles

    the electron, Ψ is the ground-state wave function, and L is the angular momentum operator. The total magnetic moment is m = m o r b + m s p i n {\displaystyle

    Orbital magnetization

    Orbital_magnetization

  • List of mathematical topics in quantum theory
  • hydrogen identical particles angular momentum angular momentum operator rotational invariance rotational symmetry rotation operator translational symmetry Lorentz

    List of mathematical topics in quantum theory

    List_of_mathematical_topics_in_quantum_theory

  • Function of several real variables
  • Mathematical function with multiple real-number arguments

    Laplace's equation, as well as the eigenfunctions of the z-component angular momentum operator, which are complex-valued functions of real-valued spherical polar

    Function of several real variables

    Function_of_several_real_variables

  • Nilsson model
  • Nuclear shell model

    in the spherical basis, ℓ {\displaystyle \ell } is the orbital angular momentum operator, ℓ 2 {\displaystyle \ell ^{2}} is its square (with eigenvalues

    Nilsson model

    Nilsson_model

  • Two-state quantum system
  • Simple quantum mechanical system

    equation can be derived by considering the time evolution of the angular momentum operator in the Heisenberg picture. i ℏ d σ j d t = [ σ j , H ] = [ σ j

    Two-state quantum system

    Two-state quantum system

    Two-state_quantum_system

  • Fradkin tensor
  • Conservation law

    becomes the Hamiltonian operator, angular momentum the angular momentum operator, and the Fradkin tensor the Fradkin operator. All of the above properties

    Fradkin tensor

    Fradkin_tensor

  • Harmonic tensors
  • Mathematical objects more general than vectors

    {D}}}=2({\hat {n}}+2)^{2}} . The ladder operator is now associated with the angular momentum operator and additional operator of rotations in 4D space A ^ {\displaystyle

    Harmonic tensors

    Harmonic_tensors

  • Coalgebra
  • Structure dual to a unital associative algebra

    |A\rangle \otimes |B\rangle } . This is provided by the total angular momentum operator, which extracts the needed quantity from each side of the tensor

    Coalgebra

    Coalgebra

  • Gross–Pitaevskii equation
  • Description of the ground state of a quantum system

    {\hat {L}}=-i\hbar {\frac {\partial }{\partial \theta }}} is the angular-momentum operator. The solution for condensate wavefunction Ψ ( r , t ) {\displaystyle

    Gross–Pitaevskii equation

    Gross–Pitaevskii_equation

  • Helicity (particle physics)
  • Projection of spin along the direction of momentum

    momentum operator and Σ ^ {\displaystyle {\hat {\mathbf {\Sigma } }}} is the spin operator. The angular momentum J is the sum of an orbital angular momentum

    Helicity (particle physics)

    Helicity_(particle_physics)

  • Stress–energy tensor
  • Tensor describing energy momentum density in spacetime

    this with the symmetry of the stress–energy tensor, one can show that angular momentum is also conserved: 0 = ( x α T μ ν − x μ T α ν ) , ν . {\displaystyle

    Stress–energy tensor

    Stress–energy tensor

    Stress–energy_tensor

  • Zitterbewegung
  • Particle effect

    {\textstyle c} is the speed of light, p j {\textstyle p_{j}} is the momentum operator, and β {\displaystyle \beta } and α j {\displaystyle \alpha _{j}}

    Zitterbewegung

    Zitterbewegung

  • C-symmetry
  • Symmetry of physical laws under a charge-conjugation transformation

    ^{\mu \nu }=i\left[\gamma ^{\mu },\gamma ^{\nu }\right]/2} is the angular momentum operator and ϵ i j k {\displaystyle \epsilon _{ijk}} is the totally antisymmetric

    C-symmetry

    C-symmetry

  • Euler's equations (rigid body dynamics)
  • Quasilinear first-order ordinary differential equation

    the angular velocity. In an inertial frame of reference (subscripted "in"), Euler's second law states that the time derivative of the angular momentum L

    Euler's equations (rigid body dynamics)

    Euler's_equations_(rigid_body_dynamics)

  • Rigid body
  • Physical object which does not deform when forces or moments are exerted on it

    describing the motion of a rigid body, such as linear and angular velocity, acceleration, momentum, impulse, and kinetic energy. The linear position can be

    Rigid body

    Rigid body

    Rigid_body

  • Molecular Hamiltonian
  • Hamiltonian operator for molecules

    is a component of an operator known as the vibrational angular momentum operator (although it does not satisfy angular momentum commutation relations)

    Molecular Hamiltonian

    Molecular_Hamiltonian

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Online names & meanings

  • Cosam
  • Biblical

    Cosam

    divining

  • Nuwaira |
  • Girl/Female

    Muslim

    Nuwaira |

    Petals of flowers

  • Ravyanki
  • Girl/Female

    Hindu, Indian

    Ravyanki

    Sunshine; Held in the Lap of the Sun God

  • Sayf |
  • Boy/Male

    Muslim

    Sayf |

    Sword

  • Taalia
  • Girl/Female

    Indian

    Taalia

    Rising star

  • KENRICK
  • Male

    English

    KENRICK

    Variant spelling of English Kendrick, KENRICK means "keen power."

  • KEILA
  • Female

    English

    KEILA

    Probably a variant spelling of English Kayla, KEILA means "slender."

  • Janakivallabh
  • Boy/Male

    Hindu, Indian, Traditional

    Janakivallabh

    Lord Rama

  • Mustaffa
  • Boy/Male

    Arabic, Indian, Kashmiri, Muslim

    Mustaffa

    The Chosen One

  • Merwin
  • Boy/Male

    American, Anglo, Australian, British, Chinese, English, German, Teutonic, Welsh

    Merwin

    Lover of the Sea; Sea Lover; Mariner; Sea Hill

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ANGULAR MOMENTUM-OPERATOR

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ANGULAR MOMENTUM-OPERATOR

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ANGULAR MOMENTUM-OPERATOR

  • Moment
  • n.

    Impulsive power; force; momentum.

  • Momently
  • adv.

    In a moment; every moment; momentarily.

  • Angular
  • a.

    Measured by an angle; as, angular distance.

  • Angular
  • a.

    Relating to an angle or to angles; having an angle or angles; forming an angle or corner; sharp-cornered; pointed; as, an angular figure.

  • Momental
  • a.

    Important; momentous.

  • Ungulae
  • pl.

    of Ungula

  • Angulate
  • v. t.

    To make angular.

  • Angularly
  • adv.

    In an angular manner; with of at angles or corners.

  • Regular
  • a.

    Constituted, selected, or conducted in conformity with established usages, rules, or discipline; duly authorized; permanently organized; as, a regular meeting; a regular physican; a regular nomination; regular troops.

  • Momental
  • a.

    Lasting but a moment; brief.

  • Momently
  • adv.

    For a moment.

  • Annulary
  • a.

    Having the form of a ring; annular.

  • Momentums
  • pl.

    of Momentum

  • Momenta
  • pl.

    of Momentum

  • Jugular
  • a.

    Of or pertaining to the jugular vein; as, the jugular foramen.

  • Angular
  • a.

    Fig.: Lean; lank; raw-boned; ungraceful; sharp and stiff in character; as, remarkably angular in his habits and appearance; an angular female.

  • Anglewise
  • adv.

    In an angular manner; angularly.

  • Momental
  • a.

    Of or pertaining to moment or momentum.

  • Momentous
  • a.

    Of moment or consequence; very important; weighty; as, a momentous decision; momentous affairs.

  • Inangular
  • a.

    Not angular.