Modern Physics Letters A, ISSN 0217-7323, 05/2012, Volume 27, Issue 16, p. 1250089

... transformation relation between different s-parametrized quantization schemes. It turns out that the s-parametrized Wigner operator's s-ordering is just the Dirac delta function, which seems to be a new result...

s-parametrized generalized Wigner operator | s-parametrized quantization scheme | s-ordered operator expansion formula | STATE | PHYSICS, NUCLEAR | DENSITY OPERATORS | PHYSICS, MATHEMATICAL | PHYSICS, PARTICLES & FIELDS

s-parametrized generalized Wigner operator | s-parametrized quantization scheme | s-ordered operator expansion formula | STATE | PHYSICS, NUCLEAR | DENSITY OPERATORS | PHYSICS, MATHEMATICAL | PHYSICS, PARTICLES & FIELDS

Journal Article

International Journal of Theoretical Physics, ISSN 0020-7748, 6/2015, Volume 54, Issue 6, pp. 1805 - 1817

...}-$ ordering and generalized Weyl quantization schemes. The mutual transformations provides us with a new approach for deriving Wigner function of entangled quantum states...

Generalized entangled Wigner operator | Generalized Weyl Quantization scheme | Different operator ordering rules | Theoretical, Mathematical and Computational Physics | Mutual transformation | Quantum Physics | Physics, general | Physics | Elementary Particles, Quantum Field Theory | PHYSICS, MULTIDISCIPLINARY | QUANTUM-MECHANICS

Generalized entangled Wigner operator | Generalized Weyl Quantization scheme | Different operator ordering rules | Theoretical, Mathematical and Computational Physics | Mutual transformation | Quantum Physics | Physics, general | Physics | Elementary Particles, Quantum Field Theory | PHYSICS, MULTIDISCIPLINARY | QUANTUM-MECHANICS

Journal Article

中国物理B：英文版, ISSN 1674-1056, 2015, Volume 24, Issue 1, pp. 265 - 268

By extending the usual Weyl transformation to the s-parameterized Weyl transformation with s being a real parameter,we obtain the s-parameterized quantization scheme which includes P–Q quantization, Q...

S-参数 | 改造 | 参数量化 | s参数 | 运营商 | S-parameterized quantization scheme | Generalized wigner transformation | s-parameterized quantization scheme | PHYSICS, MULTIDISCIPLINARY | generalized Wigner transformation | QUANTUM-MECHANICS | OPERATORS | Quantization | Operators | Transformations | Order disorder

S-参数 | 改造 | 参数量化 | s参数 | 运营商 | S-parameterized quantization scheme | Generalized wigner transformation | s-parameterized quantization scheme | PHYSICS, MULTIDISCIPLINARY | generalized Wigner transformation | QUANTUM-MECHANICS | OPERATORS | Quantization | Operators | Transformations | Order disorder

Journal Article

4.
Full Text
Mutual transformations between the P-Q, Q-P, and generalized Weyl ordering of operators

中国物理B：英文版, ISSN 1674-1056, 2014, Volume 23, Issue 3, pp. 119 - 122

.... The mutual transformations provide us with a new approach to deriving the Wigner function of quantum states...

广义 | 电能质量 | 魏格纳 | Wigner函数 | 相互转化 | 相互转换 | 运营商 | 量子态 | mutual transformation | PHYSICS, MULTIDISCIPLINARY | different operator ordering rules | QUANTUM-MECHANICS | generalized Wigner operator | generalized Weyl quantization scheme | Kernels | Operators | Transformations (mathematics) | Quantization | Texts | Transformations | Order disorder

广义 | 电能质量 | 魏格纳 | Wigner函数 | 相互转化 | 相互转换 | 运营商 | 量子态 | mutual transformation | PHYSICS, MULTIDISCIPLINARY | different operator ordering rules | QUANTUM-MECHANICS | generalized Wigner operator | generalized Weyl quantization scheme | Kernels | Operators | Transformations (mathematics) | Quantization | Texts | Transformations | Order disorder

Journal Article

Signal Processing, ISSN 0165-1684, 09/2015, Volume 114, pp. 45 - 60

In this paper, we propose a novel integral transform by combining the generalized Wigner–Ville distribution (WDL...

Ambiguity function | Generalized ambiguity function | Linear canonical transform | Integral transform | Wigner–Ville distribution | Generalized Wigner–Ville distribution | Generalized Wigner-Ville distribution | Wigner-Ville distribution | JOINT DIAGONALIZATION | FRACTIONAL FOURIER | ALGORITHM | SIGNALS | TIME | ENGINEERING, ELECTRICAL & ELECTRONIC | Frequency modulation | Analysis

Ambiguity function | Generalized ambiguity function | Linear canonical transform | Integral transform | Wigner–Ville distribution | Generalized Wigner–Ville distribution | Generalized Wigner-Ville distribution | Wigner-Ville distribution | JOINT DIAGONALIZATION | FRACTIONAL FOURIER | ALGORITHM | SIGNALS | TIME | ENGINEERING, ELECTRICAL & ELECTRONIC | Frequency modulation | Analysis

Journal Article

Physics letters. A, ISSN 0375-9601, 2018, Volume 382, Issue 47, pp. 3369 - 3375

Squeezed states are one of the most useful quantum optical models having various applications in different areas, especially in quantum information processing....

Photon number squeezing | Quadrature squeezing | Wigner function | Rosen–Morse squeezed states | Generalized squeezed states | Nonclassicality | NONCLASSICAL PROPERTIES | PHYSICS, MULTIDISCIPLINARY | ENTANGLEMENT | Rosen-Morse squeezed states | COHERENT STATES | NOISE | QUANTUM INFORMATION | GENERATION | EVEN

Photon number squeezing | Quadrature squeezing | Wigner function | Rosen–Morse squeezed states | Generalized squeezed states | Nonclassicality | NONCLASSICAL PROPERTIES | PHYSICS, MULTIDISCIPLINARY | ENTANGLEMENT | Rosen-Morse squeezed states | COHERENT STATES | NOISE | QUANTUM INFORMATION | GENERATION | EVEN

Journal Article

Physica scripta, ISSN 1402-4896, 2009, Volume 79, Issue 6, p. 065013

Starting from the famous Pauli problem on the possibility of associating quantum states with probabilities, the formulation of quantum mechanics in which...

DENSITY-MATRIX | SQUEEZED STATES | ABSTRACT HILBERT-SPACES | PHASE-SPACE | PHYSICS, MULTIDISCIPLINARY | SYMPLECTIC TOMOGRAPHY | COHERENT STATES | WIGNER DISTRIBUTION | PROBABILITY REPRESENTATION | STAR PRODUCTS | GENERALIZED UNCERTAINTY RELATIONS | Physics - Quantum Physics

DENSITY-MATRIX | SQUEEZED STATES | ABSTRACT HILBERT-SPACES | PHASE-SPACE | PHYSICS, MULTIDISCIPLINARY | SYMPLECTIC TOMOGRAPHY | COHERENT STATES | WIGNER DISTRIBUTION | PROBABILITY REPRESENTATION | STAR PRODUCTS | GENERALIZED UNCERTAINTY RELATIONS | Physics - Quantum Physics

Journal Article

Applied Optics, ISSN 1559-128X, 04/2014, Volume 53, Issue 10, pp. B27 - B37

Edge diffraction of a circular Laguerre-Gaussian beam represents an example of the optical vortex symmetry breakdown in which the hidden "vortex"energy...

TRANSFORMATION | ORBITAL ANGULAR-MOMENTUM | GAUSSIAN BEAMS | VORTICES | COHERENT | GENERALIZED M-2 FACTOR | PARAMETRIC CHARACTERIZATION | WIGNER DISTRIBUTION FUNCTION | OPTICS | FLOW | Transverse waves | Diffraction | Vortex-motion | Analysis | Beams (radiation) | Asymmetry | Vortices | Angular momentum | Fluid flow | Formalism | Circulation

TRANSFORMATION | ORBITAL ANGULAR-MOMENTUM | GAUSSIAN BEAMS | VORTICES | COHERENT | GENERALIZED M-2 FACTOR | PARAMETRIC CHARACTERIZATION | WIGNER DISTRIBUTION FUNCTION | OPTICS | FLOW | Transverse waves | Diffraction | Vortex-motion | Analysis | Beams (radiation) | Asymmetry | Vortices | Angular momentum | Fluid flow | Formalism | Circulation

Journal Article

Journal of Pseudo-Differential Operators and Applications, ISSN 1662-9981, 3/2013, Volume 4, Issue 1, pp. 1 - 12

The expectation value of the Weyl transform of a symbol with a state function equals the phase-space averaging of the symbol with the Wigner distribution...

Instantaneous quantities | Mathematics | Weyl transforms | Operator Theory | Algebra | Secondary 81S30 | Functional Analysis | Analysis | Generalized phase-space distributions | Applications of Mathematics | Primary 47G30 | Partial Differential Equations | Wigner distribution | DISTRIBUTIONS | MATHEMATICS | MATHEMATICS, APPLIED | LOCAL VALUES | QUANTUM | Transformations (Mathematics) | Distribution (Probability theory) | Functions | Research | Functional equations

Instantaneous quantities | Mathematics | Weyl transforms | Operator Theory | Algebra | Secondary 81S30 | Functional Analysis | Analysis | Generalized phase-space distributions | Applications of Mathematics | Primary 47G30 | Partial Differential Equations | Wigner distribution | DISTRIBUTIONS | MATHEMATICS | MATHEMATICS, APPLIED | LOCAL VALUES | QUANTUM | Transformations (Mathematics) | Distribution (Probability theory) | Functions | Research | Functional equations

Journal Article

10.
Full Text
Mutual transformations between the P - Q, Q - Nd generalized Weyl ordering of operators

Chinese Physics B, ISSN 1674-1056, 2014, Volume 23, Issue 3

Journal Article

11.
Full Text
Short-time Fourier transform: two fundamental properties and an optimal implementation

IEEE Transactions on Signal Processing, ISSN 1053-587X, 05/2003, Volume 51, Issue 5, pp. 1231 - 1242

...) family with the Hermite-Gaussian kernels satisfies both the shift invariance and rotation invariance properties that are satisfied by the Wigner distribution (WD...

Fourier transforms | Chirp | Time frequency analysis | Kernel | Transient analysis | Spectrogram | Rotation measurement | Signal resolution | Wideband | Narrowband | Linear time-frequency representations | Generalized time-bandwidth product | Rotation invariance | Fractional Fourier transform | Short-time Fourier transform | rotation invariance | FREQUENCY-DISTRIBUTIONS | fractional Fourier transform | RADON-WIGNER | SIGNALS | linear time-frequency representations | generalized time-bandwidth product | COMPUTATION | short-time Fourier transform | ENGINEERING, ELECTRICAL & ELECTRONIC | Signal processing | Fourier transformations | Research | Kernels | Fourier analysis | Representations | Invariance | Invariants | Wigner distribution | Optimization

Fourier transforms | Chirp | Time frequency analysis | Kernel | Transient analysis | Spectrogram | Rotation measurement | Signal resolution | Wideband | Narrowband | Linear time-frequency representations | Generalized time-bandwidth product | Rotation invariance | Fractional Fourier transform | Short-time Fourier transform | rotation invariance | FREQUENCY-DISTRIBUTIONS | fractional Fourier transform | RADON-WIGNER | SIGNALS | linear time-frequency representations | generalized time-bandwidth product | COMPUTATION | short-time Fourier transform | ENGINEERING, ELECTRICAL & ELECTRONIC | Signal processing | Fourier transformations | Research | Kernels | Fourier analysis | Representations | Invariance | Invariants | Wigner distribution | Optimization

Journal Article

Physics Reports, ISSN 0370-1573, 08/2016, Volume 647, pp. 1 - 46

Here we review the many aspects and distinct phenomena associated to quantum dynamics on general graph structures. For so, we discuss such class of systems...

Green’s function | Quasi-bound state | Quantum graphs | Bound states | Scattering | Green's function | PHYSICS, MULTIDISCIPLINARY | CONTACT INTERACTIONS | PERIODIC-ORBIT THEORY | SPECTRAL PROBLEM | ONE HEAR | KIRCHHOFFS RULE | GENERALIZED POINT INTERACTIONS | WIGNERS REACTION MATRIX | SCHRODINGER-OPERATORS | MICROWAVE NETWORKS

Green’s function | Quasi-bound state | Quantum graphs | Bound states | Scattering | Green's function | PHYSICS, MULTIDISCIPLINARY | CONTACT INTERACTIONS | PERIODIC-ORBIT THEORY | SPECTRAL PROBLEM | ONE HEAR | KIRCHHOFFS RULE | GENERALIZED POINT INTERACTIONS | WIGNERS REACTION MATRIX | SCHRODINGER-OPERATORS | MICROWAVE NETWORKS

Journal Article

IEEE Transactions on Information Theory, ISSN 0018-9448, 03/1992, Volume 38, Issue 2, pp. 691 - 712

The authors derive, implement, and demonstrate a computational approach for the measurement of emergent image frequencies. Measuring emergent signal...

Optical filters | Signal processing | Wavelet analysis | Time measurement | Frequency measurement | Multiple signal classification | Gabor filters | Optical signal processing | Signal analysis | Optical devices | generalized uncertainty principle | Image analysis | local frequency measurement | Gabor wavelet | local contrast measurement | wavelets | LOCAL FREQUENCY MEASUREMENT | GABOR WAVELET | SPATIAL-FREQUENCY | GENERALIZED UNCERTAINTY PRINCIPLE | FILTERS | SIGNAL ANALYSIS | REPRESENTATION | ENGINEERING, ELECTRICAL & ELECTRONIC | TEXTURE | SHAPE | EDGE-DETECTION | ORIENTATION | WIGNER DISTRIBUTION | WAVELETS | LOCAL CONTRAST MEASUREMENT | DISCRETE-TIME | IMAGE ANALYSIS

Optical filters | Signal processing | Wavelet analysis | Time measurement | Frequency measurement | Multiple signal classification | Gabor filters | Optical signal processing | Signal analysis | Optical devices | generalized uncertainty principle | Image analysis | local frequency measurement | Gabor wavelet | local contrast measurement | wavelets | LOCAL FREQUENCY MEASUREMENT | GABOR WAVELET | SPATIAL-FREQUENCY | GENERALIZED UNCERTAINTY PRINCIPLE | FILTERS | SIGNAL ANALYSIS | REPRESENTATION | ENGINEERING, ELECTRICAL & ELECTRONIC | TEXTURE | SHAPE | EDGE-DETECTION | ORIENTATION | WIGNER DISTRIBUTION | WAVELETS | LOCAL CONTRAST MEASUREMENT | DISCRETE-TIME | IMAGE ANALYSIS

Journal Article

Molecular Physics: A Special Issue in Honour of Professor Henry F. Schaefer, ISSN 0026-8976, 04/2009, Volume 107, Issue 8-12, pp. 1209 - 1221

We apply the method of moments to the multireference (MR) coupled cluster (CC) formalism representing the continuous transition between the Brillouin-Wigner-type and Rayleigh...

generalised Bloch equation | effective Hamiltonian | C-conditions | complete and incomplete model spaces | multireference coupled cluster theory | method of moments of coupled cluster equations | state-universal multireference coupled cluster approach | Brillouin-Wigner multireference coupled cluster approach | size consistency | size extensivity | Method of moments of coupled cluster equations | State-universal multireference coupled cluster approach | Generalised Bloch equation | Effective Hamiltonian | Multireference coupled cluster theory | CONFIGURATION-INTERACTION | MANY-BODY PERTURBATION | PHYSICS, ATOMIC, MOLECULAR & CHEMICAL | CHEMISTRY, PHYSICAL | NONITERATIVE ENERGY CORRECTIONS | SIZE-EXTENSIVITY | EXCITED ELECTRONIC STATES | EXCITATION-ENERGIES | DOUBLES METHOD | GENERAL-MODEL-SPACE | SINGLET-TRIPLET SEPARATION | HILBERT-SPACE

generalised Bloch equation | effective Hamiltonian | C-conditions | complete and incomplete model spaces | multireference coupled cluster theory | method of moments of coupled cluster equations | state-universal multireference coupled cluster approach | Brillouin-Wigner multireference coupled cluster approach | size consistency | size extensivity | Method of moments of coupled cluster equations | State-universal multireference coupled cluster approach | Generalised Bloch equation | Effective Hamiltonian | Multireference coupled cluster theory | CONFIGURATION-INTERACTION | MANY-BODY PERTURBATION | PHYSICS, ATOMIC, MOLECULAR & CHEMICAL | CHEMISTRY, PHYSICAL | NONITERATIVE ENERGY CORRECTIONS | SIZE-EXTENSIVITY | EXCITED ELECTRONIC STATES | EXCITATION-ENERGIES | DOUBLES METHOD | GENERAL-MODEL-SPACE | SINGLET-TRIPLET SEPARATION | HILBERT-SPACE

Journal Article

2001, AD-a403 432.

The Wigner distribution is a signal transformation which has its origin in quantum mechanics...

time series analysis | discrete time signal | generalized velocity | doppler radar | signal processing | radon transform | instantaneous frequency | generalized acceleration | fourier transformation | doppler smeering | wigner distribution | doppler processing | discrete distribution | foreign reports | time frequency analysis | generalized likelihood ratio test | high frequency radar | accelerating targets

time series analysis | discrete time signal | generalized velocity | doppler radar | signal processing | radon transform | instantaneous frequency | generalized acceleration | fourier transformation | doppler smeering | wigner distribution | doppler processing | discrete distribution | foreign reports | time frequency analysis | generalized likelihood ratio test | high frequency radar | accelerating targets

Government Document

Canadian journal of physics, ISSN 1208-6045, 2016, Volume 94, Issue 1, pp. 139 - 146

We compute Wigner functions for the harmonic oscillator including corrections from generalized uncertainty principles (GUPs...

04.60.-m | generalized uncertainty principle | fonctions de Wigner | mécanique quantique dans l’espace de phase | 03.65.-w | harmonic oscillator | quantum gravity | phase space quantum mechanics | principe d’incertitude généralisé | Wigner functions | 04.60 | oscillateur harmonique | gravité quantique | Generalized uncertainty principle | Quantum gravity | Phase space quantum mechanics | Harmonic oscillator | PHYSICS, MULTIDISCIPLINARY | ALTERNATIVE COMMUTATION RELATIONS | MINIMAL LENGTH | DYNAMICS | QUANTUM-MECHANICS | GRAVITY | Uncertainty | Mathematical models | Mathematical analysis | Density | Harmonic oscillators

04.60.-m | generalized uncertainty principle | fonctions de Wigner | mécanique quantique dans l’espace de phase | 03.65.-w | harmonic oscillator | quantum gravity | phase space quantum mechanics | principe d’incertitude généralisé | Wigner functions | 04.60 | oscillateur harmonique | gravité quantique | Generalized uncertainty principle | Quantum gravity | Phase space quantum mechanics | Harmonic oscillator | PHYSICS, MULTIDISCIPLINARY | ALTERNATIVE COMMUTATION RELATIONS | MINIMAL LENGTH | DYNAMICS | QUANTUM-MECHANICS | GRAVITY | Uncertainty | Mathematical models | Mathematical analysis | Density | Harmonic oscillators

Journal Article

Journal of Optics B: Quantum and Semiclassical Optics, ISSN 1464-4266, 06/2003, Volume 5, Issue 3, pp. S245 - S260

The Wigner problem, i.e. the investigation of general quantum mechanical commutation relations consistent with the Heisenberg evolution equations of a given shape, is studied...

Noncanonical quantization | Generalized coherent states | Wigner quantization | Alternative Hamiltonians | PHYSICS, APPLIED | INVERSE PROBLEM | HARMONIC-OSCILLATOR | QUANTUM | alternative Hamiltonians | EQUATIONS | COMMUTATION RELATIONS | COHERENT STATES | DEFORMATION-THEORY | CONTINUOUS-REPRESENTATION THEORY | noncanonical quantization | EQUIVALENCE CLASSES | MOTION DETERMINE | generalized coherent states

Noncanonical quantization | Generalized coherent states | Wigner quantization | Alternative Hamiltonians | PHYSICS, APPLIED | INVERSE PROBLEM | HARMONIC-OSCILLATOR | QUANTUM | alternative Hamiltonians | EQUATIONS | COMMUTATION RELATIONS | COHERENT STATES | DEFORMATION-THEORY | CONTINUOUS-REPRESENTATION THEORY | noncanonical quantization | EQUIVALENCE CLASSES | MOTION DETERMINE | generalized coherent states

Journal Article

理论物理通讯：英文版, ISSN 0253-6102, 2005, Volume 44, Issue 3, pp. 541 - 546

We construct the nonlinear tripartite entangled state representation and the related generalized Wigner operator...

广义性 | Wigner算子 | IWOP | Wigner函数 | 非线性纠缠 | Generalized Wigner operator | IWOP technique | Nonlinear entangled states | DISTRIBUTIONS | SQUEEZED VACUUM STATES | PHASE | INTEGRATION | OPERATOR | PHYSICS, MULTIDISCIPLINARY | nonlinear entangled states | generalized Wigner operator

广义性 | Wigner算子 | IWOP | Wigner函数 | 非线性纠缠 | Generalized Wigner operator | IWOP technique | Nonlinear entangled states | DISTRIBUTIONS | SQUEEZED VACUUM STATES | PHASE | INTEGRATION | OPERATOR | PHYSICS, MULTIDISCIPLINARY | nonlinear entangled states | generalized Wigner operator

Journal Article

Journal of Chemical Physics, ISSN 0021-9606, 08/2009, Volume 131, Issue 6, pp. 064109 - 064109-12

The general theory of analytic energy gradients is presented for the state-specific multireference coupled cluster method introduced by Mukherjee and...

HF calculations | BRILLOUIN-WIGNER | CONFIGURATION-INTERACTION MODELS | molecular configurations | PHYSICS, ATOMIC, MOLECULAR & CHEMICAL | CHEMISTRY, PHYSICAL | MANY-BODY | PERTURBATION-THEORY | positive ions | WAVE-FUNCTIONS | coupled cluster calculations | ENERGY GRADIENTS | 2ND DERIVATIVES | organic compounds | GENERALIZED BLOCH EQUATION | SHELL HARTREE-FOCK | TRIPLE EXCITATIONS

HF calculations | BRILLOUIN-WIGNER | CONFIGURATION-INTERACTION MODELS | molecular configurations | PHYSICS, ATOMIC, MOLECULAR & CHEMICAL | CHEMISTRY, PHYSICAL | MANY-BODY | PERTURBATION-THEORY | positive ions | WAVE-FUNCTIONS | coupled cluster calculations | ENERGY GRADIENTS | 2ND DERIVATIVES | organic compounds | GENERALIZED BLOCH EQUATION | SHELL HARTREE-FOCK | TRIPLE EXCITATIONS

Journal Article