CONTRACTION OF THE FINITE ONE-DIMENSIONAL OSCILLATOR

DOI10.1142/S0217751X03013776zbMath1039.81029OpenAlexW2085189989MaRDI QIDQ4483548

Kurt Bernardo Wolf, Natig M. Atakishiyev, George S. Pogosyan

Publication date: 14 October 2003

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

Full work available at URL: https://doi.org/10.1142/s0217751x03013776

zbMATH Keywords

contraction of Lie algebrasquantum mechanical oscillator

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Applications of Lie (super)algebras to physics, etc. (17B81) Finite-dimensional groups and algebras motivated by physics and their representations (81R05) Phase-space methods including Wigner distributions, etc. applied to problems in quantum mechanics (81S30)

Related Items (8)

General quantization ⋮ Recurrence relations for discrete hypergeometric functions ⋮ General phase spaces: from discrete variables to rotor and continuum limits ⋮ Finite quantum dynamics ⋮ Homotopy approach to quantum gravity ⋮ Unitary rotation of square-pixellated images ⋮ CONTRACTION OF THE FINITE RADIAL OSCILLATOR ⋮ Finite quantum kinematics of the harmonic oscillator

Cites Work

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• Continuous vs. discrete fractional Fourier transforms
• Contractions of Lie algebras and the separation of variables: interbase expansions
• The discrete fractional Fourier transform
• Continuum quantum systems as limits of discrete quantum systems: II. State functions
• Group theory of harmonic oscillators
• Wigner distribution function for Euclidean systems
• Finite two-dimensional oscillator: I. The Cartesian model
• Finite two-dimensional oscillator: II. The radial model
• Wigner distribution function for finite systems
• Quantum algebraic structures compatible with the harmonic oscillator Newton equation
• The discrete harmonic oscillator, Harper's equation, and the discrete fractional Fourier transform
• Do the Equations of Motion Determine the Quantum Mechanical Commutation Relations?
• On the Contraction of Groups and Their Representations

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