An evolution equation in phase space and the Weyl correspondence

DOI10.1016/0022-1236(76)90006-9zbMath0327.35020OpenAlexW2052231983MaRDI QIDQ1226217

Ross Cressman

Publication date: 1976

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-1236(76)90006-9

Mathematics Subject Classification ID

Operations with distributions and generalized functions (46F10) Linear symmetric and selfadjoint operators (unbounded) (47B25) General theory of partial differential operators (47F05) Schrödinger operator, Schrödinger equation (35J10)

Related Items (5)

Algebras of distributions suitable for phase-space quantum mechanics. I ⋮ Algebras of distributions suitable for phase-space quantum mechanics. II. Topologies on the Moyal algebra ⋮ An algebra of pseudodifferential operators and the asymptotics of quantum mechanics ⋮ Quantum statistical mechanics on stochastic phase space ⋮ Dynamics of the τ-Wigner distribution function

Cites Work

• Evolutionsgleichungen in Banach-Räumen
• \(C^ *\)-algèbres des systèmes canoniques. I
• An algebra of pseudodifferential operators and quantum mechanics in phase space
• The Weyl functional calculus
• The multiplicative Weyl functional calculus
• Tensor products of closed operators on Banach spaces
• Mathematical Aspects of the Weyl Correspondence
• Operators on Tensor Products of Banach Spaces
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