Continuum quantum systems as limits of discrete quantum systems. III. Operators

DOI10.1063/1.1398582zbMath1018.81030OpenAlexW2069991814MaRDI QIDQ2774677

Laurence Barker

Publication date: 26 February 2002

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

Full work available at URL: http://hdl.handle.net/11693/24806

zbMATH Keywords

harmonic oscillatorfractional Fourier transformone-dimensional boxcircular rotor

Mathematics Subject Classification ID

Phase-space methods including Wigner distributions, etc. applied to problems in quantum mechanics (81S30) Discrete version of topics in analysis (39A12)

Related Items (4)

Continuum quantum systems as limits of discrete quantum systems. IV. Affine canonical transforms ⋮ General phase spaces: from discrete variables to rotor and continuum limits ⋮ Continuum quantum systems as limits of discrete quantum systems. I: State vectors ⋮ Unitary rotation of square-pixellated images

Cites Work

• Continuum quantum systems as limits of discrete quantum systems: II. State functions
• The Fractional Order Fourier Transform and its Application to Quantum Mechanics
• Wigner distribution function for finite systems
• The discrete harmonic oscillator, Harper's equation, and the discrete fractional Fourier transform
• Single Band Motion of Conduction Electrons in a Uniform Magnetic Field

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