Rapidly decaying Wigner functions are Schwartz functions
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Publication:5056871
DOI10.1063/5.0049581OpenAlexW4213316901MaRDI QIDQ5056871
Felipe Hernandez, C. Jess Riedel
Publication date: 8 December 2022
Published in: Journal of Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2103.14183
Phase-space methods including Wigner distributions, etc. applied to problems in quantum mechanics (81S30) Applications of functional analysis in quantum physics (46N50)
Cites Work
- Born-Jordan pseudodifferential calculus, Bopp operators and deformation quantization
- Monotone Funktionen, Stieltjessche Integrale und harmonische Analyse
- Schwartz operators
- Generalized phase-space representation of operators
- Harmonic Analysis in Phase Space. (AM-122)
- Mixed states with positive Wigner functions
- Quantum Bochner’s theorem for phase spaces built on projective representations
- A Concise Treatise on Quantum Mechanics in Phase Space
