Discrete Weyl–Heisenberg transforms

DOI10.1063/1.531603zbMath0881.46058OpenAlexW1987820781MaRDI QIDQ5284827

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Publication date: 27 February 1997

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

Full work available at URL: https://doi.org/10.1063/1.531603

zbMATH Keywords

stateexpectation valuesphase planeWeyl-Heisenberg transformdiscrete Weyl-Heisenberg tight frame with bound oneground state of a harmonic oscillator

Mathematics Subject Classification ID

Coherent states (81R30) Applications of functional analysis in quantum physics (46N50)

Cites Work

• Continuity properties of the Gabor frame operator
• On a Hilbert space of analytic functions and an associated integral transform part I
• Painless nonorthogonal expansions
• Frames in the bargmann space of entire functions
• A Simple Wilson Orthonormal Basis with Exponential Decay
• The wavelet transform, time-frequency localization and signal analysis
• Oversampling in the Gabor scheme
• On the Quantum Correction For Thermodynamic Equilibrium
• Harmonic Oscillator Wave Functions

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