Szego Limit Theorems for the Harmonic Oscillator

DOI10.2307/1999634zbMath0546.35078OpenAlexW4235087147MaRDI QIDQ3337865

Steven Zelditch, Augustus J. E. M. Janssen

Publication date: 1983

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2307/1999634

zbMATH Keywords

harmonic oscillatoraveragingmultiplication operatorsWigner functionsWeyl correspondence

Mathematics Subject Classification ID

Pseudodifferential operators as generalizations of partial differential operators (35S05) General mathematical topics and methods in quantum theory (81Q99) Miscellaneous applications of functional analysis (46N99)

Related Items (6)

Spectral asymptotics of Toeplitz operators on Zoll manifolds ⋮ Szegö limit theorem on the lattice ⋮ Interface asymptotics of eigenspace Wigner distributions for the harmonic oscillator ⋮ Interfaces in Spectral Asymptotics and Nodal Sets ⋮ Interface asymptotics of Wigner-Weyl distributions for the harmonic oscillator ⋮ Szegö limit theorems in quantum mechanics

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