Wigner distribution function for finite systems

DOI10.1063/1.532636zbMath0986.81060OpenAlexW2087306836MaRDI QIDQ4701556

Kurt Bernardo Wolf, Natig M. Atakishiyev, Sergey M. Chumakov

Publication date: 21 November 1999

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

Full work available at URL: https://doi.org/10.1063/1.532636

zbMATH Keywords

Wigner distribution functionfinite data setslinear waveguide

Mathematics Subject Classification ID

Phase-space methods including Wigner distributions, etc. applied to problems in quantum mechanics (81S30) Physical optics (78A10) Mathematically heuristic optics and electromagnetic theory (must also be assigned at least one other classification number in Section 78-XX) (78A97)

Related Items (13)

Jacobi ϑ-functions and discrete Fourier transforms ⋮ Dynamical symmetry in a minimal dimeric complex ⋮ Wigner functions for curved spaces. II. On spheres ⋮ Continuum quantum systems as limits of discrete quantum systems. IV. Affine canonical transforms ⋮ GeneralizedSU(2) covariant Wigner functions and some of their applications ⋮ Continuum quantum systems as limits of discrete quantum systems. III. Operators ⋮ Continuum quantum systems as limits of discrete quantum systems. I: State vectors ⋮ Fast Algorithms for Digital Computation of Linear Canonical Transforms ⋮ COHERENT STATES FOR THE FINITE su(2)-OSCILLATOR MODEL ⋮ FINITE SYSTEMS ON PHASE SPACE ⋮ CONTRACTION OF THE FINITE ONE-DIMENSIONAL OSCILLATOR ⋮ Continuous vs. discrete fractional Fourier transforms ⋮ Symbol correspondence for Euclidean systems

Cites Work

• Difference analogs of the harmonic oscillator
• Hidden symmetry and potential group of the Maxwell fish-eye
• Wigner distribution function for Euclidean systems

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