Semiclassical states associated with isotropic submanifolds of phase space

DOI10.1007/s11005-016-0853-7zbMath1362.58014arXiv1511.01241OpenAlexW3121845930MaRDI QIDQ505642

Alejandro Uribe, Zuoqin Wang, Victor W. Guillemin

Publication date: 26 January 2017

Published in: Letters in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1511.01241

zbMATH Keywords

semiclassical analysisFourier integral operators on manifoldsHermite distributions

Mathematics Subject Classification ID

Pseudodifferential operators as generalizations of partial differential operators (35S05) Pseudodifferential and Fourier integral operators on manifolds (58J40) Semiclassical techniques, including WKB and Maslov methods applied to problems in quantum theory (81Q20)

Related Items (7)

Integral representations of isotropic semiclassical functions and applications ⋮ Reduction and coherent states ⋮ Closed geodesics and pluricanonical sections on ball quotients ⋮ Inverse problems for real principal type operators ⋮ On vector-valued automorphic forms on bounded symmetric domains ⋮ Kähler quantization and entanglement ⋮ Szegő limit theorems for singular Berezin-Toeplitz operators

Cites Work

• The analysis of linear partial differential operators. IV: Fourier integral operators
• The semi-classical trace formula and propagation of wave packets
• Legendrian distributions with applications to relative Poincaré series
• On the pseudospectra of Berezin--Toeplitz operators
• The Spectral Theory of Toeplitz Operators. (AM-99)
• Hypoelliptic operators with double characteristics and related pseudo-differential operators
• Pseudospectra of semiclassical (pseudo-) differential operators
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