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Type of complex number
physics and representation theory, a phase factor is a multiplier representing the phase of a wave or the phase difference between two quantities. It
Phase_factor
Electronic control system
A phase-locked loop (PLL) is a control system that generates an output signal whose phase is fixed relative to the phase of an input signal. Keeping the
Phase-locked_loop
Electromagnetic quantum-mechanical effect in regions of zero magnetic and electric field
S2CID 221113180. Wu, T. T.; Yang, C. N. (1975). "Concept of non-integrable phase factors and global formulation of gauge fields". Phys. Rev. D. 12 (12): 3845–3857
Aharonov–Bohm_effect
Ratio of active power to apparent power
power factor magnitude is less than one, the voltage and current are not in phase, which reduces the average product of the two. A negative power factor occurs
Power_factor
Special mathematical functions defined on the surface of a sphere
harmonic functions concerns a phase factor of ( − 1 ) m {\displaystyle (-1)^{m}} , commonly referred to as the Condon–Shortley phase in the quantum mechanical
Spherical_harmonics
Complex number representing a particular sine wave
constant and a factor depending on time and frequency. The complex constant, which depends on amplitude and phase, is known as a phasor, or complex amplitude
Phasor
Topics referred to by the same term
transmission, and distribution Phase problem, the loss of information (the phase) from a physical measurement Phase factor, a complex scalar used in quantum
Phase
Monochrome light beam whose amplitude envelope is a Gaussian function
(due to the last two factors). It also contains part of the Gouy phase. The third factor is a pure phase that enhances the Gouy phase shift for higher orders
Gaussian_beam
Description of a quantum-mechanical system
spatial variation of the phase of a wavefunction is said to characterize the probability flux of the wavefunction. Although the factor ∇ S / m {\textstyle
Schrödinger_equation
Theorem in the mathematical formulation of quantum mechanics
quantum theory are represented by unit vectors in Hilbert space up to a phase factor, i.e. by the complex line or ray the vector spans. In addition, by the
Wigner's_theorem
Fraction of an analyte in chromatography
In chromatography, the retardation factor (R) is the fraction of an analyte in the mobile phase of a chromatographic system. In planar chromatography in
Retardation_factor
Type of two-dimensional quasiparticle
θ {\displaystyle e^{i\theta }} is the phase factor. In space of three or more dimensions, the phase factor is 1 {\displaystyle 1} or − 1 {\displaystyle
Anyon
Array of antennas creating a steerable beam
array factor equation above, often, what is really meant by array factor is the magnitude of the summed phasor produced at the end of array factor calculation
Phased_array
Introduction: S-phase-promoting factor(SPF) is varying Cdk/cyclin complexes in eukaryotes that initiates the S-phase in the cell cycle. SPF is at its peak
S-phase-promoting_factor
Concept in physics
the "dynamic phase factor." The first exponential term is the geometric term, with γ n {\displaystyle \gamma _{n}} being the Berry phase. From the requirement
Berry connection and curvature
Berry_connection_and_curvature
Basic unit of quantum information
{\displaystyle {|1\rangle }} , α is changed to 0 and β is changed to 1, while the phase factor e i ϕ {\displaystyle e^{i\phi }} is no longer experimentally accessible
Qubit
Elapsed fraction of a cycle of a periodic function
expressed as φ ( t ) {\displaystyle \varphi (t)} , the sine of the phase, multiplied by some factor (the amplitude of the sinusoid). (The cosine may be used instead
Phase_(waves)
16-element matrix group
matrix group, consisting of the 4 Pauli matrices each with 4 possible phase factors. The n-qubit Pauli group is a 4 n + 1 {\displaystyle 4^{n+1}} -element
Pauli_group
Property of waves that can oscillate with more than one orientation
Jones matrix is the identity matrix (multiplied by a scalar phase factor and attenuation factor), implying no change in polarization during propagation.
Polarization_(waves)
System for describing optical polarization
can be found, up to a phase factor e i γ {\displaystyle {\rm {e}}^{i\gamma }} . However, in the Jones calculus, such phase factors do not change the represented
Jones_calculus
Set of quantum operations
_{n}} that differ only by an overall global phase factor as the same element. The smallest global phase is 1 + i 2 {\displaystyle {\frac {1+i}{\sqrt
Clifford_group
Physics software package
wavefunction of a periodic system has a cell-periodic factor and a phase factor. The phase factor is represented by a plane wave. From the usage of Bloch's
CASTEP
Coefficients in angular momentum eigenstates of quantum systems
given by: In principle, one may also introduce a (possibly complex) phase factor in the definition of C ± ( j , m ) {\displaystyle C_{\pm }(j,m)} . The
Clebsch–Gordan_coefficients
Phase of a cycle
mechanics, the geometric phase (also known as the Pancharatnam–Berry phase, Pancharatnam phase, or Berry phase) is a phase difference acquired over the
Geometric_phase
2008–2012 group of superhero films
other villains in the phase. Darren Gigool at MovieWeb described Phase One as a "huge success" and attributed this to several factors, including: a strong
Marvel Cinematic Universe: Phase One
Marvel_Cinematic_Universe:_Phase_One
Relativistic wave description of fermions
denotes the transpose, η c {\displaystyle \,\eta _{c}\,} is an arbitrary phase factor | η c | = 1 , {\displaystyle \,|\eta _{c}|=1\,,} conventionally taken
Majorana_equation
Physics-mathematics connection
not be possible to choose the phase factors in the definition of U ( g ) {\displaystyle U(g)} to eliminate the phase factors in their composition law. An
Particle physics and representation theory
Particle_physics_and_representation_theory
Biological factor
Maturation-promoting factor (abbreviated MPF, also called mitosis-promoting factor or M-Phase-promoting factor) is the cyclin–Cdk complex that was discovered
Maturation_promoting_factor
Electromagnetic effect in physics
the wave function acquires phase factor of e i θ {\displaystyle e^{i\theta }} (together with an Aharonov-Bohm phase factor) when identical quasiparticles
Fractional quantum Hall effect
Fractional_quantum_Hall_effect
Use of mathematical groups in magnetochemistry
depend not only on geometric rotation, but on the corresponding fermionic phase factor in representations (for the related mathematical concept, see the formal
Double_group
Electronic structure method
m n {\displaystyle \phi _{mn}} is related to the lattice curl of the phase factor, ∇ × θ m , n = Δ x θ m , n y − Δ y θ m , n x = ( θ m + 1 , n y − θ m
Peierls_substitution
Symmetry of physical laws under a charge-conjugation transformation
the statement that the system is invariant under multiplication by a phase factor e i ϕ ( x ) {\displaystyle e^{i\phi (x)}} that depends on the (space-time)
C-symmetry
Opposition to current by inductance or capacitance
of the different signs for capacitive and inductive reactance is the phase factor e ± j π 2 {\displaystyle e^{\pm \mathbf {j} {\frac {\pi }{2}}}} in the
Electrical_reactance
Short "burst" or "envelope" of restricted wave action that travels as a unit
the phase factor in the exponent has a nonzero spatial derivative everywhere except at the origin, and so when the time is small there are fast phase cancellations
Wave_packet
Mathematical physics relation
an electron that takes a path from point P to point Q, we define the phase factor as Φ Q P = exp ( − i Ω 0 ∫ P Q A μ d x μ ) {\displaystyle \Phi _{QP}=\exp
Wu–Yang_dictionary
Mathematical operator in quantum optics
operators is another displacement operator whose total displacement, up to a phase factor, is the sum of the two individual displacements. This can be seen by
Displacement_operator
Optical device which splits a beam of light in two
amplitude and phase factor; for instance, r a c = | r a c | e i ϕ a c {\displaystyle r_{ac}=|r_{ac}|e^{i\phi _{ac}}} . The phase factor accounts for possible
Beam_splitter
Concept in quantum mechanics of perfectly substitutable particles
states are physically equivalent only if they differ at most by a complex phase factor. For two indistinguishable particles, a state before the particle exchange
Indistinguishable_particles
Quantum explanation of electromagnetic polarization
the orbit that is made if the polarization state is multiplied by a phase factor of e i ω t {\displaystyle e^{i\omega t}} and then having the real parts
Photon_polarization
Term in accelerator physics
electric force). To account for this degree of freedom, an additional phase factor ϕ {\displaystyle \phi } is included in the eigenmode field definition
Acceleration_voltage
Form of alternating current
motor with special starting arrangements and power factor correction that produces balanced three-phase voltages. When properly designed, these rotary converters
Three-phase_electric_power
Class of proteins involved in inflammation
acute-phase proteins) in response to inflammation. This response is called the acute-phase reaction (also called acute-phase response). The acute-phase reaction
Acute-phase_protein
Circle with radius of one
\mathbb {T} .} In quantum mechanics, a unit complex number is called a phase factor. The trigonometric functions cosine and sine of angle θ are defined using
Unit_circle
Theorem in quantum information science
The extra phase factor expresses the fact that a quantum-mechanical state defines a normalised vector in Hilbert space only up to a phase factor i.e. as
No-cloning_theorem
Quantum state with all observables independent of time
itself is not stationary: It continually changes its overall complex phase factor, so as to form a standing wave. The oscillation frequency of the standing
Stationary_state
Function in the theory of antennas
The antennas are uniformly spaced. The signal phase shift between radiators is constant. The array factor A F {\displaystyle AF} is the complex-valued
Array_factor
Resonator damping parameter
quality factor or Q factor is a dimensionless parameter that describes how underdamped an oscillator or resonator is. Resonators with high quality factors have
Q_factor
Opposition of a circuit to a current when a voltage is applied
a given current I {\displaystyle I} . The phase factor tells us that the current lags the voltage by a phase θ = arg ( Z ) {\displaystyle \theta =\arg(Z)}
Electrical_impedance
Board game
those who survived the Showdown Phase) in the hope of gaining other bonuses. Resources gained from the Showdown Phase factor heavily into this part of the
Kingdom_Death:_Monster
Space of all possible states that a system can take
partition function (sum over states) known as the phase integral. Instead of summing the Boltzmann factor over discretely spaced energy states (defined by
Phase_space
Probability density of electrons being somewhere
Conversely, the density determines the wave function modulo up to a phase factor, providing the formal foundation of density functional theory. According
Electron_density
Antenna consisting of two rod-shaped conductors
{\displaystyle \ \omega \ } the retardation of the field is converted just into a phase factor e − i k r , {\displaystyle \ e^{-ikr}\ ,} where the wave number
Dipole_antenna
Property of particles
In quantum mechanics, the intrinsic parity is a phase factor that arises as an eigenvalue of the parity operation x i → x i ′ = − x i {\displaystyle x_{i}\rightarrow
Intrinsic_parity
States of matter for water as a solid
rise to different phases of ice, which have varying properties and molecular geometries. Currently, twenty-two crystalline phases have been observed
Phases_of_ice
Technique in analytical chemistry
the molecule more compact than a single bond. Another important factor is the mobile phase pH since it can change the hydrophobic character of the ionizable
High-performance liquid chromatography
High-performance_liquid_chromatography
their phasor sum is less than their numerical sum. This reduction factor is called distribution factor k d {\displaystyle k_{d}} . The other factors that
Winding_factor
Mathematical entity to describe the probability of each possible measurement on a system
_{\alpha }}|\beta \rangle \right)} The overall phase factor in front has no physical effect. Only the relative phase affects the physical nature of the superposition
Quantum_state
Four-stage model of physiological responses to sexual stimulation
cognitive factors need to be taken into consideration. As a result, she proposed her model of the sexual response cycle which includes three phases: desire
Human_sexual_response_cycle
Mathematical description in crystallography
structure factor (or structure factor for short) is a mathematical description of how a material scatters incident radiation. The structure factor is a critical
Structure_factor
Series of events that restore integrity to damaged tissue after an injury
Platelet-derived growth factors are released into the wound that cause the migration and division of cells during the proliferative phase. Proliferation (growth
Wound_healing
while absorbing all the power entering port 2, so that to within a phase-factor its S-matrix is S = ( 0 0 1 0 ) {\displaystyle S={\begin{pmatrix}0&0
Isolator_(microwave)
Rate at which the phase of the wave propagates in space
Propagation delay Shear wave splitting Wave Velocity factor Planck constant Speed of light Matter wave#Phase velocity Nemirovsky, Jonathan; Rechtsman, Mikael
Phase_velocity
Type of radio-frequency coupler
E-plane port. Thus, with the ports numbered as shown, and to within a phase factor, the full scattering matrix for an ideal magic tee is S = 1 2 ( 0 0 1
Magic_tee
Clinical trial stages using human subjects
clinical monitoring costs of the Phase I site. The amount of money spent on Phase II or III trials depends on numerous factors, with therapeutic area being
Phases_of_clinical_research
Quantum algorithm for integer factorization
Cleland, Andrew N.; Martinis, John M. (2012). "Computing prime factors with a Josephson phase qubit quantum processor". Nature Physics. 8 (10): 719. arXiv:1202
Shor's_algorithm
First subphase of interphase
The G1 phase, gap 1 phase, or growth 1 phase, is the first of four phases of the cell cycle that takes place in eukaryotic cell division. In this part
G1_phase
Form of particle interferometry
′ ) {\displaystyle {\hat {\mathbf {r} }}(t')} , then the round trip phase factor for one oscillation is given by exp ( 2 i k Ω d 2 / v ) {\displaystyle
Ramsey_interferometry
Process of formation of blood clots
occurs in tissue-factor-expressing cells. This is followed by the propagation phase, which occurs on activated platelets. The initiation phase, mediated by
Coagulation
Type of electric dipole moment
transition dipole moment is a complex vector quantity that includes the phase factors associated with the two states. Its direction gives the polarization
Transition_dipole_moment
Mathematical description of quantum state
a function of the degrees of freedom multiplied by a time-dependent phase factor, the form of which is given by the Schrödinger equation. For N particles
Wave_function
State of matter
that the compressibility factor Z is set to 1 meaning that this pneumatic ratio remains constant. A compressibility factor of one also requires the four
Gas
Statistical method
which is the first phase of EFA. Factor weights are computed to extract the maximum possible variance, with successive factoring continuing until there
Factor_analysis
Third subphase of interphase
Biochemically, the end of G2 phase occurs when a threshold level of active cyclin B1/CDK1 complex, also known as Maturation promoting factor (MPF) has been reached
G2_phase
Unit of quantum information
I\right)=e^{i\delta }I} where the phase factor e i δ {\displaystyle e^{i\delta }} is called the global phase. This phase gate performs the mapping | Ψ ⟩
Qutrit
Type of AC electric motor
rotation. Single-phase shaded-pole motors have a fixed rotation unless a second set of shading windings is provided. The power factor of induction motors
Induction_motor
American theoretical physicist (born 1947)
interacting particles, each carrying a U ( 1 ) {\displaystyle U(1)} phase factor, therefore when considering the low energy processes the total number
Erick_Weinberg
Phenomenon whereby deviations from a periodic waveform are reinforced by nonlinearity
Pz},} where the oscillatory e i γ P z {\displaystyle e^{i\gamma Pz}} phase factor accounts for the difference between the linear refractive index, and
Modulational_instability
Measurement device for radio equipment
={\frac {V_{rev}}{\;V_{fwd}\;}}} (the voltages should include a relative phase factor). Then calculate the SWR: S W R = 1 + | Γ | 1 − | Γ | . {\displaystyle
SWR_meter
Correction factor which describes the deviation of a real gas from ideal gas behavior
significant the closer a gas is to a phase change, the lower the temperature or the larger the pressure. Compressibility factor values are usually obtained by
Compressibility_factor
and reference pulse respectively, the time delay can be expressed as a phase factor e − i ω τ {\displaystyle e^{-i\omega \tau }} for the unknown pulses.
Spectral_interferometry
Set of values that describe the polarization state of electromagnetic radiation
(unnormalized) pure states of the same system. Note that the overall phase (i.e. the common phase factor between the two component waves on the two perpendicular
Stokes_parameters
Constraints on possible particle properties
) | p ⟩ {\displaystyle \langle p'|J^{3}(0)|p\rangle } change by the phase factor e i ( h − ( − h ) ) θ = e 2 i h θ {\displaystyle e^{i(h-(-h))\theta }=e^{2ih\theta
Weinberg–Witten_theorem
is divided into three phases of digestion known as the cephalic phase, the gastric phase, and the intestinal phase. These phases overlap and all three
Phases_of_digestion
Shape of the Moon's sunlit portion as viewed from Earth
A lunar phase or Moon phase is the apparent shape of the Moon's day and night phases of the lunar day as viewed from afar. Because the Moon is tidally
Lunar_phase
Human protein and coding gene
Nuclear factor erythroid 2-related factor 2, also known as NFE2-Related Factor 2 (NRF2) or nuclear factor erythroid-derived 2-like 2 (NFE2L2), is a transcription
NFE2L2
InterPro family
keratinocyte growth factor (KGF), also known as FGF7, is a growth factor present in the epithelialization-phase of wound healing. In this phase, keratinocytes
Keratinocyte_growth_factor
Stage in cell cycle
transcription factor E2F, which then drives the transition from G1 to S phase. The G1/S transition is highly regulated by transcription factor p53 in order
G1/S_transition
Academic journal
and mixtures, especially phase equilibria, caloric and transport properties of fluid and solid phases. It has an impact factor of 2.8 (2024). The current
Fluid_Phase_Equilibria
Hypothetical particle with one magnetic pole
the Wilson loop or the holonomy, and for a U(1) gauge group it is the phase factor which the wavefunction of a charged particle acquires as it traverses
Magnetic_monopole
Mathematical function in general imaging
objective lens Modify the wavefunction in reciprocal space by a phase factor, also known as the Phase Contrast Transfer Function, to account for aberrations Inverse
Contrast_transfer_function
Unitary operation that transforms a particle in its antiparticle
operation, the angular part of the spatial wave function contributes a phase factor of (−1)L, where L is the angular momentum quantum number associated with
C_parity
Method of analysis applied to problems wave propagation
additional arbitrary assumptions about the phase and amplitude of the secondary waves, as well as an obliquity factor. These assumptions have no obvious physical
Huygens–Fresnel_principle
Phenomenon in which a neutrino changes lepton flavor as it travels
regardless. If neutrinoless double beta decay occurs, these factors influence its rate. The phase factor δ is non-zero only if neutrino oscillation violates CP
Neutrino_oscillation
State of a physical system in phase space
phase factor, which is similar to the Aharonov–Bohm effect of a charged particle moving in a magnetic field. There is a deep connection between phase
Phase_space_crystal
Second subphase of interphase
S phase (Synthesis phase) is the phase of the cell cycle in which DNA is replicated, occurring between G1 phase and G2 phase. Since accurate duplication
S_phase
state. A quantum state is uniquely defined up to a phase. Because of the Born rule, a phase factor has no effect on a measurement outcome: | e i φ | =
List_of_quantum_logic_gates
Phase in certain gauge theories
product of U(1) factors. Because U(1) describes electromagnetism including the Coulomb field, the corresponding phase is called a Coulomb phase. If the Higgs
Higgs_phase
Peak divided by the Root mean square (RMS) of the waveform
Crest factor is a parameter of a waveform, such as alternating current or sound, showing the ratio of peak values to the effective value. In other words
Crest_factor
Gauge boson self-energy due to interactions with virtual particles
as for example in considering the hadron spin structure. They yield a phase factor to the vacuum to vacuum transition amplitude. Dirac 1934 Heisenberg 1934
Vacuum_polarization
Component of an electricity supply system housing fuses
panel (two-pole) and gives a voltage of 240 V for split-phase electric power, or 208 V for three-phase power. [citation needed] The photograph to the right
Distribution_board
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