A pseudodifferential calculus on non-standard symplectic space

DOI10.1080/00036811.2010.507197zbMath1228.35280OpenAlexW1989139687WikidataQ58173331 ScholiaQ58173331MaRDI QIDQ3096906

Maurice A. De Gosson

Publication date: 15 November 2011

Published in: Applicable Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00036811.2010.507197

zbMATH Keywords

symplectic spacesnon-commutative quantum mechanicsWeyl operators on phase space

Mathematics Subject Classification ID

Pseudodifferential operators as generalizations of partial differential operators (35S05) General topics in linear spectral theory for PDEs (35P05) Pseudodifferential operators (47G30) Pseudodifferential operators and other generalizations of partial differential operators (35S99)

Related Items (1)

Noncommutative mapping from the symplectic formalism

Cites Work

• Spectral and regularity properties of a pseudo-differential calculus related to Landau quantization
• Quantum states and Hardy's formulation of the uncertainty principle: a symplectic approach
• Parity operator and quantization of \(\delta\)-functions
• The uncertainty principle and positivity of trace-class operators: applications to density operators
• Spectral Properties of a Class of Generalized Landau Operators
• Weyl transforms and a degenerate elliptic partial differential equation

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