Quantum information processing, ISSN 1573-1332, 2018, Volume 17, Issue 7, pp. 1 - 21

... Heisenberg’s uncertainty relation and Schrödinger’s uncertainty relation. We introduce the generalized Wigner–Yanase...

Quantum Computing | Data Structures, Cryptology and Information Theory | Generalized Wigner–Yanase–Dyson skew information | Mathematical Physics | Quantum Information Technology, Spintronics | Uncertainty relation | Quantum Physics | Generalized Wigner–Yanase–Dyson correlation | Physics | QUANTUM SCIENCE & TECHNOLOGY | PHYSICS, MULTIDISCIPLINARY | PHYSICS, MATHEMATICAL | Generalized Wigner-Yanase-Dyson correlation | Generalized Wigner-Yanase-Dyson skew information | Information science | Quantum theory

Quantum Computing | Data Structures, Cryptology and Information Theory | Generalized Wigner–Yanase–Dyson skew information | Mathematical Physics | Quantum Information Technology, Spintronics | Uncertainty relation | Quantum Physics | Generalized Wigner–Yanase–Dyson correlation | Physics | QUANTUM SCIENCE & TECHNOLOGY | PHYSICS, MULTIDISCIPLINARY | PHYSICS, MATHEMATICAL | Generalized Wigner-Yanase-Dyson correlation | Generalized Wigner-Yanase-Dyson skew information | Information science | Quantum theory

Journal Article

Few-Body Systems, ISSN 0177-7963, 6/2014, Volume 55, Issue 5, pp. 287 - 296

.... The quark orbital angular momentum is also obtained from the phase-space average of the orbital angular momentum operator weighted with the Wigner distribution of unpolarized quark in a longitudinally polarized nucleon...

Atomic, Molecular, Optical and Plasma Physics | Nuclear Physics, Heavy Ions, Hadrons | Physics | Particle and Nuclear Physics | GENERALIZED PARTON DISTRIBUTIONS | PHYSICS, MULTIDISCIPLINARY | SCATTERING | SPIN-DENSITIES | Analysis | Resveratrol | Quantum physics | Fourier transforms | Quarks | Orbitals | Partons | Transverse momentum | Angular momentum | Mathematical models | Quark models | Wigner distribution

Atomic, Molecular, Optical and Plasma Physics | Nuclear Physics, Heavy Ions, Hadrons | Physics | Particle and Nuclear Physics | GENERALIZED PARTON DISTRIBUTIONS | PHYSICS, MULTIDISCIPLINARY | SCATTERING | SPIN-DENSITIES | Analysis | Resveratrol | Quantum physics | Fourier transforms | Quarks | Orbitals | Partons | Transverse momentum | Angular momentum | Mathematical models | Quark models | Wigner distribution

Journal Article

International Journal of Modern Physics B, ISSN 0217-9792, 02/2005, Volume 19, Issue 5, pp. 799 - 856

...: "⋯ for a quantum dynamic system that has a classical analogue, unitary transformation in the quantum theory is the analogue of contact transformation in the classical theory", we find the generalized Fresnel operator (GFO...

Entangled Fresnel transform | Generalized Fresnel operator | Eigenvectors of creation operator | Complex Wigner transform | Collins formula | IWOP technique | Entangled state of continuum variables | Complex wavelet transform | z-transform | Dirac's symbolic method | Talbot effect | PHYSICS, APPLIED | entangled Fresnel transform | FRACTIONAL FOURIER-TRANSFORMS | REPRESENTATION | eigenvectors of creation operator | complex Wigner transform | PHYSICS, MATHEMATICAL | fractional Radon transform | OPERATORS | complex wavelet transform | PHYSICS, CONDENSED MATTER | generalized Fresnel operator | new eigenmodes of fractional Fourier transform | fractional Hankel transform | TERMS | COHERENT | ENTANGLED-STATE | VIRTUE | SQUEEZED STATES | HANKEL TRANSFORM | entangled state of continuum variables | RADON-TRANSFORM | complex fractional Fourier transform

Entangled Fresnel transform | Generalized Fresnel operator | Eigenvectors of creation operator | Complex Wigner transform | Collins formula | IWOP technique | Entangled state of continuum variables | Complex wavelet transform | z-transform | Dirac's symbolic method | Talbot effect | PHYSICS, APPLIED | entangled Fresnel transform | FRACTIONAL FOURIER-TRANSFORMS | REPRESENTATION | eigenvectors of creation operator | complex Wigner transform | PHYSICS, MATHEMATICAL | fractional Radon transform | OPERATORS | complex wavelet transform | PHYSICS, CONDENSED MATTER | generalized Fresnel operator | new eigenmodes of fractional Fourier transform | fractional Hankel transform | TERMS | COHERENT | ENTANGLED-STATE | VIRTUE | SQUEEZED STATES | HANKEL TRANSFORM | entangled state of continuum variables | RADON-TRANSFORM | complex fractional Fourier transform

Journal Article

44.
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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

理论物理通讯：英文版, ISSN 0253-6102, 2004, Issue 8, pp. 271 - 274

Journal Article

Journal of pseudo-differential operators and applications, ISSN 1662-999X, 2018, Volume 9, Issue 3, pp. 469 - 486

... operator forms of the hyperverial and virial theorems in terms of Weyl symbols and Wigner distribution...

Hypervirial theorem | Mathematics | Operator Theory | Algebra | Secondary 81S30 | Functional Analysis | Weyl symbols | Analysis | Generalized phase-space distributions | Applications of Mathematics | Primary 47G30 | Partial Differential Equations | Wigner distribution | Virial theorem | MATHEMATICS | MATHEMATICS, APPLIED | OPERATORS | VIRIAL | SPACE DISTRIBUTION-FUNCTIONS

Hypervirial theorem | Mathematics | Operator Theory | Algebra | Secondary 81S30 | Functional Analysis | Weyl symbols | Analysis | Generalized phase-space distributions | Applications of Mathematics | Primary 47G30 | Partial Differential Equations | Wigner distribution | Virial theorem | MATHEMATICS | MATHEMATICS, APPLIED | OPERATORS | VIRIAL | SPACE DISTRIBUTION-FUNCTIONS

Journal Article

Journal of Pseudo-Differential Operators and Applications, ISSN 1662-9981, 12/2019, Volume 10, Issue 4, pp. 855 - 881

The main objective of this paper is to study the linear canonical wavelet transform (LCWT) on generalized Sobolev space $$B^{\xi ,A}_{p,k}(\mathbb {R})$$ B p ,...

Linear canonical wavelet transform | Mathematics | Canonical convolution | Operator Theory | Algebra | 46E35 | 46F12 | Functional Analysis | Generalized Sobolev spaces | 43A32 | 42C40 | Analysis | Generalized weighted Sobolev space | Applications of Mathematics | Linear canonical transform | Schwartz space | Partial Differential Equations | MATHEMATICS | MATHEMATICS, APPLIED | FOURIER-TRANSFORM | OPERATIONS | TERMS | WIGNER DISTRIBUTION | Wavelet transforms | Approximation theory | Convergence (Mathematics) | Research | Mathematical research

Linear canonical wavelet transform | Mathematics | Canonical convolution | Operator Theory | Algebra | 46E35 | 46F12 | Functional Analysis | Generalized Sobolev spaces | 43A32 | 42C40 | Analysis | Generalized weighted Sobolev space | Applications of Mathematics | Linear canonical transform | Schwartz space | Partial Differential Equations | MATHEMATICS | MATHEMATICS, APPLIED | FOURIER-TRANSFORM | OPERATIONS | TERMS | WIGNER DISTRIBUTION | Wavelet transforms | Approximation theory | Convergence (Mathematics) | Research | Mathematical research

Journal Article

Journal of Geometry and Physics, ISSN 0393-0440, 2005, Volume 55, Issue 3, pp. 316 - 352

The construction of the ∗ -product proposed by Fedosov is implemented in terms of the theory of fibre bundles. The geometrical origin of the Weyl algebra and...

Weyl bundle | Connection in a vector bundle | Deformation quantization | Fedosov formalism | GENERALIZED WEYL CORRESPONDENCE | MATHEMATICS, APPLIED | PHASE-SPACE | REPRESENTATION | STAR-PRODUCTS | KINEMATICAL GROUPS | PHYSICS, MATHEMATICAL | ALGEBRAS | deformation quantization | SPACE QUANTUM-MECHANICS | WIGNER-MOYAL FORMALISM | NONCOMMUTING OPERATORS | connection in a vector bundle | Physics - High Energy Physics - Theory

Weyl bundle | Connection in a vector bundle | Deformation quantization | Fedosov formalism | GENERALIZED WEYL CORRESPONDENCE | MATHEMATICS, APPLIED | PHASE-SPACE | REPRESENTATION | STAR-PRODUCTS | KINEMATICAL GROUPS | PHYSICS, MATHEMATICAL | ALGEBRAS | deformation quantization | SPACE QUANTUM-MECHANICS | WIGNER-MOYAL FORMALISM | NONCOMMUTING OPERATORS | connection in a vector bundle | Physics - High Energy Physics - Theory

Journal Article

Quantum Information Processing, ISSN 1570-0755, 12/2016, Volume 15, Issue 12, pp. 5089 - 5106

... a Schrödinger-type uncertainty relation in terms of generalized metric adjusted skew information and correlation measure by using operator monotone functions, which reads...

Quantum Computing | Wigner–Yanase–Dyson skew information | Data Structures, Cryptology and Information Theory | Mathematical Physics | Generalized metric adjusted skew information | Quantum Information Technology, Spintronics | Uncertainty relation | Wigner–Yanase skew information | Quantum Physics | Physics | Generalized metric adjusted correlation measure | QUANTUM SCIENCE & TECHNOLOGY | Wigner-Yanase skew information | PHYSICS, MULTIDISCIPLINARY | ENTANGLEMENT | Wigner-Yanase-Dyson skew information | PHYSICS, MATHEMATICAL | Information science | Quantum theory

Quantum Computing | Wigner–Yanase–Dyson skew information | Data Structures, Cryptology and Information Theory | Mathematical Physics | Generalized metric adjusted skew information | Quantum Information Technology, Spintronics | Uncertainty relation | Wigner–Yanase skew information | Quantum Physics | Physics | Generalized metric adjusted correlation measure | QUANTUM SCIENCE & TECHNOLOGY | Wigner-Yanase skew information | PHYSICS, MULTIDISCIPLINARY | ENTANGLEMENT | Wigner-Yanase-Dyson skew information | PHYSICS, MATHEMATICAL | Information science | Quantum theory

Journal Article

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

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

The journal of high energy physics, ISSN 1029-8479, 07/2018, Volume 2018, Issue 7, pp. 1 - 24

It is shown that odd harmonic azimuthal correlations, including the directed flow v(1), in forward two-particle production in peripheral proton-nucleus (pA)...

P-PB COLLISIONS | GENERALIZED PARTON DISTRIBUTIONS | LONG-RANGE | ELLIPTIC FLOW | RANGE ANGULAR-CORRELATIONS | DRELL-YAN PROCESS | COLOR GLASS CONDENSATE | To be checked by Faculty | DEEP-INELASTIC SCATTERING | TRANSVERSE-MOMENTUM | PLUS AU COLLISIONS | Phenomenological Models | QCD Phenomenology | Quantum Physics | Quantum Field Theories, String Theory | Classical and Quantum Gravitation, Relativity Theory | Physics | Elementary Particles, Quantum Field Theory | DRELL-YAN | ENERGY | GLASS | SIDE | MULTIPARTICLE CORRELATIONS | PHYSICS, PARTICLES & FIELDS | Analysis | Distribution (Probability theory) | Collisions (Nuclear physics) | Harmonics | Fourier transforms | Correlation | Dipoles | Particle production | Nuclei (nuclear physics) | Field strength | Tensors | Mathematical analysis | Collisions | Transverse momentum | Nucleons | Inhomogeneity | Wigner distribution | Distribution functions | High Energy Physics - Phenomenology | Nuclear and High Energy Physics | Nuclear Experiment | Nuclear Theory | Nuclear and particle physics. Atomic energy. Radioactivity

P-PB COLLISIONS | GENERALIZED PARTON DISTRIBUTIONS | LONG-RANGE | ELLIPTIC FLOW | RANGE ANGULAR-CORRELATIONS | DRELL-YAN PROCESS | COLOR GLASS CONDENSATE | To be checked by Faculty | DEEP-INELASTIC SCATTERING | TRANSVERSE-MOMENTUM | PLUS AU COLLISIONS | Phenomenological Models | QCD Phenomenology | Quantum Physics | Quantum Field Theories, String Theory | Classical and Quantum Gravitation, Relativity Theory | Physics | Elementary Particles, Quantum Field Theory | DRELL-YAN | ENERGY | GLASS | SIDE | MULTIPARTICLE CORRELATIONS | PHYSICS, PARTICLES & FIELDS | Analysis | Distribution (Probability theory) | Collisions (Nuclear physics) | Harmonics | Fourier transforms | Correlation | Dipoles | Particle production | Nuclei (nuclear physics) | Field strength | Tensors | Mathematical analysis | Collisions | Transverse momentum | Nucleons | Inhomogeneity | Wigner distribution | Distribution functions | High Energy Physics - Phenomenology | Nuclear and High Energy Physics | Nuclear Experiment | Nuclear Theory | Nuclear and particle physics. Atomic energy. Radioactivity

Journal Article

中国物理：英文版, ISSN 1674-1056, 2012, Volume 21, Issue 2, pp. 292 - 300

... in reference of the negativity of Wigner function.

广义 | 高斯和 | Wigner函数 | 消相干 | 激发 | 相干态 | 光子 | Hermite多项式 | Hermite polynomial | the negativity of Wigner function | generalized photon-added coherent state | non-Gaussianity | QUANTUM OPTICS | PHYSICS, MULTIDISCIPLINARY | SQUEEZED VACUUM | WIGNER FUNCTION | STATISTICAL PROPERTIES | GENERATION | NONCLASSICALITY | Functions (mathematics) | Mathematical analysis | Dissipation | Coherence | Non-Gaussian | Hermite polynomials | Channels

广义 | 高斯和 | Wigner函数 | 消相干 | 激发 | 相干态 | 光子 | Hermite多项式 | Hermite polynomial | the negativity of Wigner function | generalized photon-added coherent state | non-Gaussianity | QUANTUM OPTICS | PHYSICS, MULTIDISCIPLINARY | SQUEEZED VACUUM | WIGNER FUNCTION | STATISTICAL PROPERTIES | GENERATION | NONCLASSICALITY | Functions (mathematics) | Mathematical analysis | Dissipation | Coherence | Non-Gaussian | Hermite polynomials | Channels

Journal Article

Probability Theory and Related Fields, ISSN 0178-8051, 10/2017, Volume 169, Issue 1, pp. 257 - 352

We develop a new method for deriving local laws for a large class of random matrices. It is applicable to many matrix models built from sums and products of...

15B52 | Mathematical and Computational Biology | Theoretical, Mathematical and Computational Physics | Operations Research/Decision Theory | Probability Theory and Stochastic Processes | 60B20 | Mathematics | Quantitative Finance | EIGENVALUES | UNIVERSALITY | STATISTICS | FLUCTUATIONS | LIMITING SPECTRAL DISTRIBUTION | TRACY-WIDOM LIMIT | DIMENSIONAL RANDOM MATRICES | SEMICIRCLE LAW | STATISTICS & PROBABILITY | GENERALIZED WIGNER MATRICES | SAMPLE COVARIANCE MATRICES | Anisotropy | Laws, regulations and rules | Data analysis | Deformation | Covariance | Outliers (statistics) | Eigenvalues | Eigenvectors | Phase transitions

15B52 | Mathematical and Computational Biology | Theoretical, Mathematical and Computational Physics | Operations Research/Decision Theory | Probability Theory and Stochastic Processes | 60B20 | Mathematics | Quantitative Finance | EIGENVALUES | UNIVERSALITY | STATISTICS | FLUCTUATIONS | LIMITING SPECTRAL DISTRIBUTION | TRACY-WIDOM LIMIT | DIMENSIONAL RANDOM MATRICES | SEMICIRCLE LAW | STATISTICS & PROBABILITY | GENERALIZED WIGNER MATRICES | SAMPLE COVARIANCE MATRICES | Anisotropy | Laws, regulations and rules | Data analysis | Deformation | Covariance | Outliers (statistics) | Eigenvalues | Eigenvectors | Phase transitions

Journal Article

Frontiers of Physics, ISSN 2095-0462, 6/2012, Volume 7, Issue 3, pp. 261 - 310

By virtue of the new technique of performing integration over Dirac’s ket-bra operators, we explore quantum optical version of classical optical transformations...

Generalized Fresnel operator | complex wavelet transform | new eigenmodes of fractional Fourier transform | entangled symplectic wavelet transform | entangled Fresnel transform | Collins formula | IWOP technique | complex Wigner transform | Physics | symplectic wavelet transform | entangled state of continuum variables | Dirac’s symbolic method | fractional Radon transform | Symplectic-dilation mixed wavelet transform | Physics, general | complex fractional Fourier transform | Dirac's symbolic method | FRACTIONAL FOURIER-TRANSFORMS | FRESNEL TRANSFORM | ENTANGLED STATE REPRESENTATION | WAVELET TRANSFORM | SYMPLECTIC TRANSFORMATIONS | PHYSICS, MULTIDISCIPLINARY | OPERATOR REPRESENTATION | COHERENT | SQUEEZED STATES | HANKEL TRANSFORM | COLLINS DIFFRACTION FORMULA | Quantum theory | Methods

Generalized Fresnel operator | complex wavelet transform | new eigenmodes of fractional Fourier transform | entangled symplectic wavelet transform | entangled Fresnel transform | Collins formula | IWOP technique | complex Wigner transform | Physics | symplectic wavelet transform | entangled state of continuum variables | Dirac’s symbolic method | fractional Radon transform | Symplectic-dilation mixed wavelet transform | Physics, general | complex fractional Fourier transform | Dirac's symbolic method | FRACTIONAL FOURIER-TRANSFORMS | FRESNEL TRANSFORM | ENTANGLED STATE REPRESENTATION | WAVELET TRANSFORM | SYMPLECTIC TRANSFORMATIONS | PHYSICS, MULTIDISCIPLINARY | OPERATOR REPRESENTATION | COHERENT | SQUEEZED STATES | HANKEL TRANSFORM | COLLINS DIFFRACTION FORMULA | Quantum theory | Methods

Journal Article

57.
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Perturbative triples corrections in state-specific multireference coupled cluster theory

Journal of Chemical Physics, ISSN 0021-9606, 2010, Volume 132, Issue 7, p. 074107

...)]. Our derivation of the energy correction [Mk-MRCCSD(T)] is based on a constrained search for stationary points of the Mk-MRCC energy functional together with a perturbative expansion with respect to the appearing triples cluster operator...

BRILLOUIN-WIGNER | GROUND-STATE | CORRELATED MOLECULAR CALCULATIONS | AB-INITIO | PHYSICS, ATOMIC, MOLECULAR & CHEMICAL | SINGLET BENZYNE THERMOCHEMISTRY | NONITERATIVE ENERGY CORRECTIONS | VIBRATIONAL FREQUENCIES | potential energy surfaces | coupled cluster calculations | perturbation theory | wave functions | GENERALIZED BLOCH EQUATION | GAUSSIAN-BASIS SETS | ELECTRONIC-STRUCTURE

BRILLOUIN-WIGNER | GROUND-STATE | CORRELATED MOLECULAR CALCULATIONS | AB-INITIO | PHYSICS, ATOMIC, MOLECULAR & CHEMICAL | SINGLET BENZYNE THERMOCHEMISTRY | NONITERATIVE ENERGY CORRECTIONS | VIBRATIONAL FREQUENCIES | potential energy surfaces | coupled cluster calculations | perturbation theory | wave functions | GENERALIZED BLOCH EQUATION | GAUSSIAN-BASIS SETS | ELECTRONIC-STRUCTURE

Journal Article