Stability of Gabor frames under small time Hamiltonian evolutions

DOI10.1007/s11005-016-0846-6zbMath1382.35247arXiv1511.00121OpenAlexW2232032226WikidataQ59463611 ScholiaQ59463611MaRDI QIDQ295872

José Luis Romero, Karlheinz Gröchening, Maurice A. De Gosson

Publication date: 14 June 2016

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

Full work available at URL: https://arxiv.org/abs/1511.00121

zbMATH Keywords

Schrödinger equationphase spaceWeyl quantizationWigner distributiontime-frequency analysisHamiltonian flowGabor frame

Mathematics Subject Classification ID

Nontrigonometric harmonic analysis involving wavelets and other special systems (42C40) Geometry and quantization, symplectic methods (81S10) Phase-space methods including Wigner distributions, etc. applied to problems in quantum mechanics (81S30) Time-dependent Schrödinger equations and Dirac equations (35Q41)

Related Items

Discrete vector-valued nonuniform Gabor frames, A Guide to Localized Frames and Applications to Galerkin-Like Representations of Operators, Balian-Low type theorems on homogeneous groups, On matrix-valued wave packet frames in \(L^2(\mathbb{R}^d, \mathbb{C}^{s\times r})\), Almost diagonalization of \(\tau \)-pseudodifferential operators with symbols in Wiener amalgam and modulation spaces, Almost Diagonalization of Pseudodifferential Operators, Multivariate Gabor frames for operators in matrix-valued signal spaces over locally compact abelian groups, Strict density inequalities for sampling and interpolation in weighted spaces of holomorphic functions

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