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Journal of Modern Optics, ISSN 0950-0340, 05/2013, Volume 60, Issue 9, pp. 769 - 771
The operator associated with the radially integrated Wigner function is found to lack justification as a phase operator. 
quantum phase | Wigner function | Pegg-Barnett phase formalism | OPTICS | Physics - Quantum Physics
Journal Article
PHYSICA SCRIPTA, ISSN 0031-8949, 12/2019, Volume 94, Issue 12, p. 124001
We present a method for calculating expectation values of operators in terms of a corresponding c-function formalism which is not the Wigner-Weyl position-momentum phase-space, but another space... 
Wigner Weyl | displacement operator completeness orthogonality | radar Ambiguity function | phase space quantum mechanics | PHYSICS, MULTIDISCIPLINARY | WIGNER
Journal Article
International Journal of Applied Mathematics and Computer Science, ISSN 1641-876X, 09/2019, Volume 29, Issue 3, pp. 439 - 451
Journal Article
Annals of physics, ISSN 0003-4916, 2006, Volume 321, Issue 2, pp. 480 - 494
Journal Article
2017, Advanced textbooks in mathematics, ISBN 9781786343093, xx, 229 pages
Book
Modern physics letters. B, Condensed matter physics, statistical physics, applied physics, ISSN 1793-6640, 2019, Volume 33, Issue 26, p. 1950320
An orthogonal state of coherent state is produced by applying an orthogonalizer related with Hermite-excited superposition operator [Formula: see text... 
QUANTUM INFORMATION | PHYSICS, CONDENSED MATTER | PHYSICS, APPLIED | Wigner function | nonclassicality | Orthogonalization | coherent state | PHYSICS, MATHEMATICAL | non-Gaussianity
Journal Article
Modern Physics Letters B, ISSN 0217-9849, 10/2019, Volume 33, Issue 28, p. 1950340
A simplified operator correspondence scheme is derived to address nonlinear quantum systems within the framework of the P -representation... 
Nonlinear quantum optics | PHYSICS, CONDENSED MATTER | PHYSICS, APPLIED | OPTICAL BISTABILITY | WIGNER FUNCTION | operator correspondence | MODEL | matter waves | PHYSICS, MATHEMATICAL | P-representation | OSCILLATOR
Journal Article
Journal of functional analysis, ISSN 0022-1236, 2003, Volume 205, Issue 1, pp. 107 - 131
Journal Article
International Journal of Theoretical Physics, ISSN 0020-7748, 3/2016, Volume 55, Issue 3, pp. 1741 - 1752
In this paper, we introduce a pair of mutually conjugate multipartite entangled state representations for defining the squeezing operator of entangled multipartite S n (λ... 
Wigner function | Theoretical, Mathematical and Computational Physics | Quantum Physics | Physics, general | Multipartite entangled state | Physics | Elementary Particles, Quantum Field Theory | Squeezing operator | PHYSICS, MULTIDISCIPLINARY | CONTINUOUS-VARIABLES | ENTANGLED STATE | QUANTUM TELEPORTATION | GENERATION | Algebra
Journal Article
Journal of Mathematical Analysis and Applications, ISSN 0022-247X, 05/2018, Volume 461, Issue 1, pp. 304 - 318
...-concentration of localization operators. More general operators associated with time-frequency representations in the Cohen class are then considered... 
Pseudo-differential operators | Time-frequency representations | Uncertainty principles | MATHEMATICS | MATHEMATICS, APPLIED | CONTINUITY PROPERTIES | WIGNER DISTRIBUTIONS | MODULATION SPACES | PSEUDODIFFERENTIAL CALCULUS | TRANSFORMS
Journal Article
Journal of mathematical analysis and applications, ISSN 0022-247X, 2017, Volume 446, Issue 1, pp. 920 - 944
We study the behaviour of linear partial differential operators with polynomial coefficients via a Wigner type transform... 
Linear partial differential operators with polynomial coefficients | Regularity | Schwartz spaces | Wigner transform | MATHEMATICS | MATHEMATICS, APPLIED | Mathematics - Analysis of PDEs
Journal Article
Physica Scripta, ISSN 0031-8949, 07/2015, Volume 90, Issue 7, pp. 1 - 8
A new integral representation is obtained for the star product corresponding to the s-ordering of the creation and annihilation operators... 
Weyl-Wigner correspondence | Wick and anti-Wick symbols | Star product algebras | Deformation quantization | PHYSICS, MULTIDISCIPLINARY | star product algebras | deformation quantization | Kernels | Operators | Integrals | Mathematical analysis | Stars | Derivation | Representations | Order disorder
Journal Article
JOURNAL OF SPECTRAL THEORY, ISSN 1664-039X, 2019, Volume 9, Issue 4, pp. 1287 - 1325
.... We prove that the partial trace of the full Hamiltonian converges, in resolvent sense, to an effective Schrodinger operator with magnetic field and a corrective electric potential that depends... 
MATHEMATICS, APPLIED | WIGNER MEASURES | APPROXIMATION | Pauli-Fierz model | magnetic Schrodinger operators | POTENTIALS | SELF-ADJOINTNESS | MATHEMATICS | PHASE | magnetic Laplacians | Quasi-classical limit | DYNAMICS | CONVERGENCE
Journal Article
中国科学:物理学、力学、天文学英文版, ISSN 1674-7348, 2012, Volume 55, Issue 5, pp. 762 - 766
Journal Article
Journal of the Optical Society of America A: Optics and Image Science, and Vision, ISSN 1084-7529, 10/2013, Volume 30, Issue 10, pp. 2096 - 2100
.... In this paper, we find a linear, second-order, self-adjoint differential commuting operator that commutes with the LCT operator... 
OPTICAL-SYSTEMS | HARMONIC-OSCILLATOR | INVERTED OSCILLATOR | FRACTIONAL FOURIER-TRANSFORM | WIGNER DISTRIBUTION | OPTICS | QUANTUM-MECHANICS | Operators | Mathematical analysis | Transforms | Exact solutions | Differential equations | Eigenvalues | Eigenfunctions | Cylinders
Journal Article
Journal of mathematical analysis and applications, ISSN 0022-247X, 2019, Volume 474, Issue 2, pp. 1238 - 1249
Let H be a complex Hilbert space whose dimension is not less than 3 and let Fs(H) be the real vector space formed by all self-adjoint operators of finite rank on H... 
Wigner's type theorems | Projection | Hilbert Grassmannian | Self-adjoint operator of finite rank | MATHEMATICS | MATHEMATICS, APPLIED | SET | N-DIMENSIONAL SUBSPACES | TRANSFORMATIONS
Journal Article
DOCUMENTA MATHEMATICA, ISSN 1431-0643, 2017, Volume 22, pp. 727 - 776
Making use of the localised Putnam theory developed in [GJ1], we show the limiting absorption principle for Schrodinger operators with perturbed oscillating potential on appropriate energy intervals... 
MATHEMATICS | NEUMANN-WIGNER POTENTIALS | PERTURBATIONS | LOWER BOUNDS | INEQUALITY | SYSTEMS | ABSENCE | MOURRES COMMUTATOR THEORY | SCATTERING-THEORY | CONTINUOUS-SPECTRUM | POSITIVE EIGENVALUES
Journal Article
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