On the usefulness of modulation spaces in deformation quantization

DOI10.1088/1751-8113/42/31/315205zbMath1177.81074arXiv0901.1275OpenAlexW1998466535MaRDI QIDQ3648992

Franz Luef, Maurice A. De Gosson

Publication date: 1 December 2009

Published in: Journal of Physics A: Mathematical and Theoretical (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0901.1275

Mathematics Subject Classification ID

Geometry and quantization, symplectic methods (81S10) Phase-space methods including Wigner distributions, etc. applied to problems in quantum mechanics (81S30) Deformation quantization, star products (53D55) Pseudodifferential operators (47G30)

Related Items (4)

Born-Jordan pseudodifferential calculus, Bopp operators and deformation quantization ⋮ Symplectic field theories: scalar and spinor representations ⋮ A pseudo-differential calculus on non-standard symplectic space; spectral and regularity results in modulation spaces ⋮ A deformation quantization theory for noncommutative quantum mechanics

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