FINITE SYSTEMS ON PHASE SPACE

DOI10.1142/S0217979206034431zbMath1093.81043OpenAlexW2016594139MaRDI QIDQ5484220

Kurt Bernardo Wolf

Publication date: 24 August 2006

Published in: International Journal of Modern Physics B (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0217979206034431

zbMATH Keywords

Hamiltonian systemsharmonic oscillatorsdifference equationsfractional Fourier transformsfinite signal analysis

Mathematics Subject Classification ID

Harmonic analysis on homogeneous spaces (43A85) Sampled-data control/observation systems (93C57) Phase-space methods including Wigner distributions, etc. applied to problems in quantum mechanics (81S30) Difference operators (39A70) Application of orthogonal and other special functions (94A11) Connections of basic hypergeometric functions with quantum groups, Chevalley groups, (p)-adic groups, Hecke algebras, and related topics (33D80)

Related Items (1)

Fast Algorithms for Digital Computation of Linear Canonical Transforms

Cites Work

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• The Wigner function for general Lie groups and the wavelet transform
• Wigner distribution function for Euclidean systems
• Wigner distribution function for finite systems
• Do the Equations of Motion Determine the Quantum Mechanical Commutation Relations?

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