Symplectic covariance properties for Shubin and Born–Jordan pseudo-differential operators
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Publication:2838123
DOI10.1090/S0002-9947-2012-05742-4zbMath1278.47050arXiv1104.5198OpenAlexW1976660384MaRDI QIDQ2838123
Publication date: 8 July 2013
Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1104.5198
Pseudodifferential operators as generalizations of partial differential operators (35S05) Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42B10) PDEs in connection with quantum mechanics (35Q40) Numerical methods for Hamiltonian systems including symplectic integrators (65P10) Pseudodifferential operators (47G30)
Related Items (21)
On the invertibility of Born-Jordan quantization ⋮ The angular momentum dilemma and Born-Jordan quantization ⋮ Born-Jordan pseudodifferential calculus, Bopp operators and deformation quantization ⋮ Continuity properties for Born-Jordan operators with symbols in Hörmander classes and modulation spaces ⋮ Maximal covariance group of Wigner transforms and pseudo-differential operators ⋮ Generalized Born-Jordan distributions and applications ⋮ On the reduction of the interferences in the Born-Jordan distribution ⋮ Born-Jordan pseudodifferential operators with symbols in the Shubin classes ⋮ Matrix Parameterized Pseudo-differential Calculi on Modulation Spaces ⋮ Born-Jordan quantization and the equivalence of the Schrödinger and Heisenberg pictures ⋮ On Density Operators with Gaussian Weyl Symbols ⋮ On the Symplectic Covariance and Interferences of Time-Frequency Distributions ⋮ Born-Jordan pseudodifferential operators and the Dirac correspondence: beyond the Groenewold-van Hove theorem ⋮ From Weyl to Born-Jordan quantization: the Schrödinger representation revisited ⋮ Multiplication Properties in Gelfand–Shilov Pseudo-differential Calculus ⋮ The Bargmann transform on modulation and Gelfand-Shilov spaces, with applications to Toeplitz and pseudo-differential operators ⋮ Almost diagonalization of \(\tau \)-pseudodifferential operators with symbols in Wiener amalgam and modulation spaces ⋮ Bypassing the Groenewold–van Hove obstruction on ${{\mathbb{R}}}^{2n}$: a new argument in favor of Born–Jordan quantization ⋮ Almost Diagonalization of Pseudodifferential Operators ⋮ Wigner functions on non-standard symplectic vector spaces ⋮ Wigner analysis of operators. I: Pseudodifferential operators and wave fronts
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