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Function acting on the space of physical states in physics
An operator is a function over a space of physical states onto another space of states. The simplest example of the utility of operators is the study
Operator_(physics)
Function acting on function spaces
(see Operator (physics) for other examples) The most basic operators are linear maps, which act on vector spaces. Linear operators refer to linear maps
Operator_(mathematics)
mechanics List of equations in nuclear and particle physics List of equations Operator (physics) Laws of science Physical constant Physical quantity
Lists_of_physics_equations
Topics referred to by the same term
wh- interrogatives Operator (physics), mathematical operators in quantum physics Operator (band), an American hard rock band Operators, a synth pop band
Operator
Quantum operator for the sum of energies of a system
quantum physics. Similar to vector notation, it is typically denoted by H ^ {\displaystyle {\hat {H}}} , where the hat indicates that it is an operator. It
Hamiltonian (quantum mechanics)
Hamiltonian_(quantum_mechanics)
First-order differential linear operator on spinor bundle, whose square is the Laplacian
applications to analytical physics must be extensive in a high degree. D = − i ∂ x {\displaystyle D=-i\partial _{x}} is a Dirac operator on the tangent bundle
Dirac_operator
Conjugate transpose of an operator in infinite dimensions
fields like physics, especially when used in conjunction with bra–ket notation in quantum mechanics. In finite dimensions where operators can be represented
Hermitian_adjoint
Description of physical properties at the atomic and subatomic scale
Quantum mechanics, also known as quantum physics, is the fundamental physical theory that describes the behavior of matter and of light; its unusual characteristics
Quantum_mechanics
Differential operator used in vector calculus
seen above in the case of the Laplacian. del d'Alembert operator "12.2: Vector Operators". Physics LibreTexts. 2020-05-09. Retrieved 2025-05-14. H. M. Schey
Vector_operator
Any entity that can be measured
In physics, an observable is a physical property or physical quantity that can be measured. In classical mechanics, an observable is a real-valued "function"
Observable
Projection of spin along the direction of momentum
In physics, helicity is the projection of the spin onto the direction of momentum. Mathematically, helicity is the sign of the projection of the spin
Helicity_(particle_physics)
Systematic procedure of turning a classical theory into a quantum one
procedure is basic to theories of atomic physics, chemistry, particle physics, nuclear physics, condensed matter physics, and quantum optics. In 1901, when
Quantization_(physics)
Machine learning framework
paradigm to operator learning are broadly called physics-informed neural operators (PINO), where loss functions can include full physics equations or
Neural_operators
Symmetry of spatially mirrored systems
In physics, a parity transformation (also called parity inversion) is the flip in the sign of one spatial coordinate. In three dimensions, it can also
Parity_(physics)
Differential operator in mathematics
In mathematics, the Laplace operator or Laplacian is a differential operator given by the divergence of the gradient of a scalar function on Euclidean
Laplace_operator
Mathematical conjecture about the Riemann zeta function
Physics A: Mathematical and Theoretical, 43 (9): 37, arXiv:0912.3183v5, doi:10.1088/1751-8113/43/9/095204, S2CID 115162684 Simon, B. (2015), Operator
Hilbert–Pólya_conjecture
Operators useful in quantum mechanics
is the adjoint of the annihilation operator. In many subfields of physics and chemistry, the use of these operators instead of wavefunctions is known as
Creation and annihilation operators
Creation_and_annihilation_operators
Linear operator equal to its own adjoint
operator is almost as good as having a self-adjoint operator, since we merely need to take the closure to obtain a self-adjoint operator. In physics,
Self-adjoint_operator
Specific quantum state of a quantum harmonic oscillator
ff L. Susskind and J. Glogower, Quantum mechanical phase and time operator,Physics 1 (1963) 49. Carruthers, P.; Nieto, Michael Martin (1968-04-01). "Phase
Coherent_state
Quantum mechanical operator related to rotational symmetry
angular momentum operator is one of several related operators analogous to classical angular momentum. The angular momentum operator plays a central role
Angular_momentum_operator
Branch of applied mathematics
Mathematical physics is the development of mathematical methods for use in physics and their applications. A broader definition would include the development
Mathematical_physics
Operator in quantum mechanics
quantum state then the operator is self-adjoint. In physics the term Hermitian often refers to both symmetric and self-adjoint operators. (In certain artificial
Momentum_operator
Low energy theories not compatible with string theory
In physics, the term swampland refers to effective low-energy physical theories which are not compatible with quantum gravity. This is in contrast with
Swampland_(physics)
Analog of the continuous Laplace operator
vertices), the discrete Laplace operator is more commonly called the Laplacian matrix. The discrete Laplace operator occurs in physics problems such as the Ising
Discrete_Laplace_operator
Broad concept generalizing scalars in mathematics and physics
In mathematics and physics, a vector is a generalization of a single number. It may denote a vector quantity, i.e., physical quantity that cannot be expressed
Vector (mathematics and physics)
Vector_(mathematics_and_physics)
Bijective antilinear map between two complex Hilbert spaces
Antiunitary Symmetry Operators", Journal of Mathematical Physics Vol 1, no 5, 1960, pp.414–416 Unitary operator Wigner's Theorem Particle physics and representation
Antiunitary_operator
International System of Units ISO 31 Elert, Glenn. "Special Symbols". The Physics Hypertextbook. Retrieved 4 August 2021. NIST (16 August 2023). "SI Units"
List of common physics notations
List_of_common_physics_notations
Raising and lowering operators in quantum mechanics
or lowering operator (collectively known as ladder operators) is an operator that increases or decreases the eigenvalue of another operator. In quantum
Ladder_operator
Intrinsic quantum property of particles
Hamiltonian to its conjugate momentum, which is the total angular momentum operator J = L + S . Therefore, if the Hamiltonian H has any dependence on the spin
Spin_(physics)
Typically linear operator defined in terms of differentiation of functions
In mathematics, a differential operator is an operator defined as a function of the differentiation operator. It is helpful, as a matter of notation first
Differential_operator
unsolved problems grouped into broad areas of physics. Some of the major unsolved problems in physics are theoretical, meaning that existing theories
List of unsolved problems in physics
List_of_unsolved_problems_in_physics
Scientific journal, 1964-1968
(1964-07-01). "Quantum mechanical phase and time operator". Physics Physique Fizika. 1 (1): 49–61. doi:10.1103/PhysicsPhysiqueFizika.1.49. Gell-Mann, Murray (1964-07-01)
Physics,_Physique,_Fizika
Description of a quantum-mechanical system
evolution generated by a Hamiltonian operator, as in the Schrödinger functional method. Attempts to combine quantum physics with special relativity began with
Schrödinger_equation
Class of operators in quantum field theory
(IR) physics significantly (e.g. because the vacuum expectation value (VEV) of some field depends sensitively upon the coefficient of this operator). In
Dangerously irrelevant operator
Dangerously_irrelevant_operator
Profession that involves the operation of specific equipment or service
computing, power generation and transmission, customer service, physics, and construction. Operators are day-to-day end users of systems, that may or may not
Operator_(profession)
Operator in quantum physics
In quantum physics, the squeeze operator for a single mode of the electromagnetic field is S ^ ( z ) = exp ( 1 2 ( z ∗ a ^ 2 − z a ^ † 2 ) ) , z = r
Squeeze_operator
Topic in mathematics
In mathematics, a Hilbert–Schmidt operator, named after David Hilbert and Erhard Schmidt, is a bounded operator A : H → H {\displaystyle A\colon H\to
Hilbert–Schmidt_operator
Equations describing classical electromagnetism
{\displaystyle \nabla \cdot } the divergence operator, and ∇ × {\displaystyle \nabla \times } the curl operator. In partial differential equation form and
Maxwell's_equations
Mapping involving integration between function spaces
{\displaystyle Tf} . An integral transform is a particular kind of mathematical operator. There are numerous useful integral transforms. Each is specified by a
Integral_transform
In mathematics, a linear operator acting on inner product space
mathematics (specifically linear algebra, operator theory, and functional analysis) as well as physics, a linear operator A {\displaystyle A} acting on an inner
Positive_operator
quantum theory Mathematical formulation of quantum mechanics Observable Operator (physics) Quantum state Pure state Fock state, Fock space Density state Coherent
List of functional analysis topics
List_of_functional_analysis_topics
solution of generalized Dicke models via Susskind-Glogower operators". Journal of Physics A. 46 (9) 095301. arXiv:1207.6551. Bibcode:2013JPhA...46i5301R
Susskind–Glogower_operator
Theorem in quantum mechanics
In mathematical physics, Gleason's theorem shows that the rule one uses to calculate probabilities in quantum physics, the Born rule, can be derived from
Gleason's_theorem
Formulation to quantize gauge field theories in physics
"Gauge Invariance in Field Theory and Statistical Physics in Operator Formalism", Lebedev Physics Institute preprint 39 (1975), arXiv:0812.0580. Kugo
BRST_quantization
Differential equation for the description of waves or standing wave
dynamics. This article focuses on waves in classical physics. Quantum physics uses an operator-based wave equation often as a relativistic wave equation
Wave_equation
Concept in Hlibert spaces mathematics
inequalities involving matrices and linear operators on Hilbert spaces. This article covers some important operator inequalities connected with traces of matrices
Trace_inequality
Interaction of a quantum system with a classical observer
self-adjoint operator on that Hilbert space termed an "observable". These observables play the role of measurable quantities familiar from classical physics: position
Measurement in quantum mechanics
Measurement_in_quantum_mechanics
Mathematical tool in quantum physics
In quantum mechanics, a density matrix (or density operator) is a matrix used in calculating the probabilities of the outcomes of measurements performed
Density_matrix
Quasiparticle of mechanical vibrations
oscillation is smaller than the size of the object. A type of quasiparticle in physics, a phonon is an excited state in the quantum mechanical quantization of
Phonon
Physical quantities taking values at each point in space and time
descriptions of how field values change in space and time, are ubiquitous in physics. For instance, the electric field is another vector field, while electrodynamics
Field_(physics)
Method of statistical physics
statistical physics. It allows the splitting of the dynamics of a system into a relevant and an irrelevant part using projection operators, which helps
Mori–Zwanzig_formalism
Scientific subjects
physics, and molecular physics; optics and acoustics; condensed matter physics; high-energy particle physics and nuclear physics; and chaos theory and
Branches_of_physics
Type of observable in a physical system
which the invariance is evaluated should be indicated. Casimir operator Charge (physics) Conservation law Conserved quantity Covariance group General covariance
Invariant_(physics)
Operator characterizing the phase of a system
spin-aligned (magnetized) and disordered phases happens at some temperature. Operator (physics) Kleinert, Hagen, Gauge Fields in Condensed Matter, Vol. I, " SUPERFLOW
Order_operator
Branch of functional analysis
functional analysis, a branch of mathematics, an operator algebra is an algebra of continuous linear operators on a topological vector space, with the multiplication
Operator_algebra
Concept in quantum mechanics
term "observable" has gained a technical meaning, denoting a self-adjoint operator that represents the possible results of a random variable. The theoretical
Observer_(quantum_physics)
Linear operator in mathematics
composition operators is covered by AMS category 47B33. In physics, and especially the area of dynamical systems, the composition operator is usually referred
Composition_operator
Peer-reviewed journal
in analysis related to condensed matter physics, statistical mechanics and quantum field theory, and in operator algebras, quantum information and relativity
Communications in Mathematical Physics
Communications_in_Mathematical_Physics
Invertible linear endomorphism
Yang–Baxter operators are invertible linear endomorphisms with applications in theoretical physics and topology. They are named after theoretical physicists
Yang–Baxter_operator
Exterior algebraic map taking tensors from p forms to n-p forms
In mathematics, the Hodge star operator or Hodge star is a linear map defined on the exterior algebra of a finite-dimensional oriented vector space endowed
Hodge_star_operator
Self-adjoint operator that arises in physical transition problems
In mathematical physics, the almost Mathieu operator, named for its similarity to the Mathieu operator introduced by Émile Léonard Mathieu, arises in the
Almost_Mathieu_operator
Differential form of degree one or section of a cotangent bundle
lattice – Fourier transform of a real-space lattice, important in solid-state physics Tensor – Algebraic object with geometric applications "2 Introducing Differential
One-form
Energy quantum particles contribute to themselves
the so-called on mass shell value of the proper self-energy operator (or proper mass operator) in the momentum-energy representation (more precisely, to
Self-energy
Vector differential operator
Del, or nabla, is an operator used in mathematics (particularly in vector calculus) as a vector differential operator, usually represented by ∇ (the nabla
Del
Technique to solve partial differential equations
In machine learning, physics-informed neural networks (PINNs), also referred to as theory-trained neural networks (TTNs), are a type of universal function
Physics-informed neural networks
Physics-informed_neural_networks
Markovian quantum master equation for density matrices (mixed states)
\{L_{i}\}_{i}} are a set of jump operators, describing the dissipative part of the dynamics. The shape of the jump operators describes how the environment
Lindbladian
Time travel using quantum mechanics
Retrieved 11 August 2019. "4.2: States, State Vectors, and Linear Operators". Physics LibreTexts. 2022-01-13. Retrieved 2024-07-04. Allen, John-Mark A
Quantum mechanics of time travel
Quantum_mechanics_of_time_travel
Operator shifting particles and fields by a certain amount in a certain direction
Hamiltonian, i.e. when laws of physics are translation-invariant. This is an example of Noether's theorem. The translation operator T ^ ( x ) {\displaystyle
Translation operator (quantum mechanics)
Translation_operator_(quantum_mechanics)
In physics, a linear operator acting on a vector space of linear operators
In physics, a superoperator is a linear operator acting on a vector space of linear operators. Sometimes the term refers more specially to a completely
Superoperator
Specific operation in theoretical physics
In theoretical physics, the word meta-operator is sometimes used to refer to a specific operation over a combination of operators, as in the example of
Meta-operator
Truths and principles of the study of matter, space, time and energy
In philosophy, the philosophy of physics deals with conceptual and interpretational issues in physics, many of which overlap with research done by certain
Philosophy_of_physics
Generative AI chatbot by OpenAI
"Introducing Operator". OpenAI Blog. February 1, 2025. Retrieved March 8, 2025. Agomuoh, Fionna (January 24, 2025). "OpenAI's Operator AI agent comes
ChatGPT
Person who controls a nuclear reactor
A reactor operator (or nuclear reactor operator) is an individual at a nuclear power plant or other nuclear reactor who is responsible for directly controlling
Reactor_operator
Result about when a matrix can be diagonalized
functional analysis, a spectral theorem is a result about when a linear operator or matrix can be diagonalized (that is, represented as a diagonal matrix
Spectral_theorem
Extended physical object in string theory
the behavior of elementary particles in the Standard Model of particle physics. This connection has led to important insights into gauge theory and quantum
Brane
Algebra associated to any vector space
the minors of the transformation. In physics, many quantities are naturally represented by alternating operators. For example, if the motion of a charged
Exterior_algebra
Tensor in differential geometry
the metric tensor and Δ {\displaystyle \Delta } is the Laplace–Beltrami operator. This fact motivates the introduction of the Ricci flow equation as a natural
Ricci_curvature
American theoretical physicist (1918–1988)
the physics of elementary particles". He is also known for his work in the path integral formulation of quantum mechanics, the theory of the physics of
Richard_Feynman
Theory of subatomic structure
In physics, string theory is a theoretical framework in which the point-like particles of particle physics are replaced by one-dimensional objects called
String_theory
Particle with opposite charges
In particle physics, every type of particle of "ordinary" matter (as opposed to antimatter) is associated with an antiparticle with the same mass but
Antiparticle
Interpretation of quantum mechanics
(2005). "Properties of the frequency operator do not imply the quantum probability postulate". Annals of Physics. 315 (1): 123–146. arXiv:quant-ph/0409144
Many-worlds_interpretation
Statistical mechanics of quantum-mechanical systems
quantum physics is the expectation value of an observable. Physically measurable quantities are represented mathematically by self-adjoint operators that
Quantum_statistical_mechanics
Branch of mathematics concerning probability
mechanics or sequential estimation. A great discovery of twentieth-century physics was the probabilistic nature of physical phenomena at atomic scales, described
Probability_theory
United States Army Positions
Control Enhanced Operator/Maintainer 14G Air Defense Battle Management System Operator 14H Air Defense Enhanced Early Warning System Operator 14P Air and Missile
List of United States Army careers
List_of_United_States_Army_careers
Axiomatization of quantum field theory
In mathematical physics, the Wightman axioms, also called the Gårding–Wightman axioms, named after Arthur Wightman, are an attempt at a mathematically
Wightman_axioms
Physical constant in quantum mechanics
received the 1918 Nobel Prize in Physics "in recognition of the services he rendered to the advancement of Physics by his discovery of energy quanta"
Planck_constant
Process in quantum mechanical theories
the Formation of Quantum-Mechanical Operators". American Journal of Physics. 27 (1). American Association of Physics Teachers (AAPT): 16–21. Bibcode:1959AmJPh
Canonical_quantization
Collection of random variables
in many disciplines such as biology, chemistry, ecology, neuroscience, physics, image processing, signal processing, control theory, information theory
Stochastic_process
Theory of gravitation as curved spacetime
accepted description of the gravitation of macroscopic objects in modern physics. General relativity generalizes special relativity and refines Isaac Newton's
General_relativity
Field theory involving topological effects in physics
In gauge theory and mathematical physics, a topological quantum field theory (or topological field theory or TQFT) is a quantum field theory that computes
Topological quantum field theory
Topological_quantum_field_theory
Requirement that quantum states' time evolution operators are unitary transformations
In quantum physics, unitarity (process) is the condition that the time evolution of a quantum state according to the Schrödinger equation is mathematically
Unitarity
American mathematician (born 1945)
mathematician, specializing in mathematical physics and, more specifically, random Schrödinger operators for disordered systems. He received in 1971 his
Abel_Klein
American artificial intelligence company
upcoming OpenAI o3 models were shared. On January 23, 2025, OpenAI released Operator, an AI agent and tool for accessing websites to execute goals defined by
OpenAI
Millennium Prize Problem
existence and mass gap problem is an unsolved problem in mathematical physics and mathematics, and one of the seven Millennium Prize Problems defined
Yang–Mills existence and mass gap
Yang–Mills_existence_and_mass_gap
Linear operator used in quantum mechanics
In physics, particularly in quantum perturbation theory, the matrix element refers to the linear operator of a modified Hamiltonian using Dirac notation
Matrix_element_(physics)
U.S. government documents declassified in 2026
which, according to The Washington Post, "appeared to defy the laws of physics". Congressional hearings in the past decade included testimony from government
United_States_UFO_files
Coordinate-free definition of a tensor
L(V;F)=V^{*},\\T_{1}^{1}(V)&\cong L(V;V).\end{aligned}}} Differential geometry, physics and engineering must often deal with tensor fields on smooth manifolds
Tensor_(intrinsic_definition)
Mathematical entity to describe the probability of each possible measurement on a system
In quantum physics, a quantum state is a mathematical entity that represents a physical system. Quantum mechanics specifies the construction, evolution
Quantum_state
Branch of elementary mathematics
calculus, and statistics. They play a similar role in the sciences, like physics and economics. Arithmetic is present in many aspects of daily life, for
Arithmetic
Number specifying how a quantum operator changes under dilations
In theoretical physics, the scaling dimension, or simply dimension, of a local operator in a quantum field theory characterizes the rescaling properties
Scaling_dimension
OPERATOR PHYSICS
OPERATOR PHYSICS
Boy/Male
Tamil
Orator
Boy/Male
Muslim
Orator, Preacher, Religious minister
Girl/Female
Hindu, Indian, Sindhi, Tamil
Magnificent Poetess; Orator
Boy/Male
Muslim/Islamic
Orator Preacher
Boy/Male
Arabic, Indian, Muslim
Orator; Preacher
Boy/Male
Arabic
Orator; Speaker
Boy/Male
Hindu, Indian, Kannada, Marathi, Tamil, Telugu
Orator
Boy/Male
Muslim
Orator, Preacher, Religious minister
Girl/Female
Biblical
An orator, a word.
Boy/Male
Arabic, Muslim
Orator; Preacher
Girl/Female
Arabic
Orator; Preacher
Boy/Male
Tamil
Vakpati | வாகà¯à®ªà®¤à®¿
Great orator
Vakpati | வாகà¯à®ªà®¤à®¿
Biblical
an orator
Boy/Male
Hindu, Indian, Malayalam, Marathi
Great Orator
Boy/Male
Arabic
Orator; Speaker
Boy/Male
Hindu
Great orator
Boy/Male
Biblical
An orator.
Girl/Female
Assamese, Hindu, Indian, Tamil
Magnificent Poetess; Orator
Girl/Female
Arabic
Orator; Preacher
Girl/Female
Biblical
An orator, an interpreter.
OPERATOR PHYSICS
OPERATOR PHYSICS
Boy/Male
Tamil
Lord of rain, Lord Indra - king of gods
Boy/Male
Christian & English(British/American/Australian)
Champion
Male
Danish
, Christ-bearer.
Girl/Female
Arabic, Latin, Muslim
Divine; God Like
Girl/Female
French
From the countly estate.
Female
English
Short form of French Nicolette, COLETTE means "victor of the people."
Girl/Female
Muslim
Purity, Righteousness, Honesty (1)
Male
English
Variant spelling of Old English Aldous, possibly ALDIS means "from the old house."
Female
Hungarian
Hungarian feminine form of Latin Timæus, TÃMEA means "honor."
Girl/Female
Hindu, Indian, Malayalam, Tamil
Beautiful; Grace; Lord Hanuman
OPERATOR PHYSICS
OPERATOR PHYSICS
OPERATOR PHYSICS
OPERATOR PHYSICS
OPERATOR PHYSICS
n.
The officer who presides over an assembly to preserve order, propose questions, regulate the proceedings, and declare the votes.
n.
An officer who is the voice of the university upon all public occasions, who writes, reads, and records all letters of a public nature, presents, with an appropriate address, those persons on whom honorary degrees are to be conferred, and performs other like duties; -- called also public orator.
n.
The symbol that expresses the operation to be performed; -- called also facient.
n.
The act or process of operating; agency; the exertion of power, physical, mechanical, or moral.
n.
One fond of his own opinious; one who holds an opinion.
n.
A laboratory.
n.
That which is operated or accomplished; an effect brought about in accordance with a definite plan; as, military or naval operations.
n.
A dealer in stocks or any commodity for speculative purposes; a speculator.
n.
Operation.
n.
One who performs some act upon the human body by means of the hand, or with instruments.
n.
The method of working; mode of action.
n.
Any methodical action of the hand, or of the hand with instruments, on the human body, to produce a curative or remedial effect, as in amputation, etc.
a.
Alt. of Operatical
imp. & p. p.
of Operate
n.
One who, or that which, operates or produces an effect.
v. t.
To put into, or to continue in, operation or activity; to work; as, to operate a machine.
n.
Effect produced; influence.
n.
A mechamical arrangement for regulating motion in a machine, or producing equality of effect.
n.
In the University of Oxford, an examiner for moderations; at Cambridge, the superintendant of examinations for degrees; at Dublin, either the first (senior) or second (junior) in rank in an examination for the degree of Bachelor of Arts.
n.
Something to be done; some transformation to be made upon quantities, the transformation being indicated either by rules or symbols.