Quantum mechanics in phase space

DOI10.1016/0034-4877(84)90008-9zbMath0571.46046OpenAlexW1977144108MaRDI QIDQ1061988

Friedhelm Hansen

Publication date: 1984

Published in: Reports on Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0034-4877(84)90008-9

zbMATH Keywords

semiboundednessHamiltonian weightfunctional calculusessential selfadjointnessdilations of the twisted structureinequalities for Wigner functions on phase spacequantized selfadjoint operatorTomita's theory of generalized Hilbert algebrastwisted exponentialtwisted multiplication of functions on phase space

Mathematics Subject Classification ID

Functional calculus for linear operators (47A60) Applications of selfadjoint operator algebras to physics (46L60) Commutation relations and statistics as related to quantum mechanics (general) (81S05) Miscellaneous applications of functional analysis (46N99) Linear operators in (C^*)- or von Neumann algebras (47C15)

Related Items

*-products in the method of orbits for nilpotent groups, NEGATIVE PROBABILITY AND UNCERTAINTY RELATIONS, DEFORMATION QUANTIZATION: QUANTUM MECHANICS LIVES AND WORKS IN PHASE-SPACE, The Moyal product and spectral theory for a class of infinite dimensional matrices, Convergence of the Wick star product, The deformation quantizations of the hyperbolic plane, Représentations \({}^*\) des groupes exponentiels. \((^*\)- representations of exponential groups)

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