CONTRACTION OF THE FINITE RADIAL OSCILLATOR

DOI10.1142/S0217751X03013752zbMath1039.81030OpenAlexW2028287891MaRDI QIDQ4483549

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

Publication date: 2003

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

Full work available at URL: https://doi.org/10.1142/s0217751x03013752

zbMATH Keywords

Clebsch-Gordan coefficientsHahn polynomialscontraction of Lie algebrasfinite quantum mechanics

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) Applications of Lie groups to the sciences; explicit representations (22E70) Finite-dimensional groups and algebras motivated by physics and their representations (81R05)

Related Items (1)

Recurrence relations for discrete hypergeometric functions

Cites Work

• Unnamed Item
• Difference analogs of the harmonic oscillator
• Continuous vs. discrete fractional Fourier transforms
• CONTRACTION OF THE FINITE ONE-DIMENSIONAL OSCILLATOR
• Finite two-dimensional oscillator: I. The Cartesian model
• Finite two-dimensional oscillator: II. The radial model
• Quantum motion on the three-dimensional sphere: the ellipso-cylindrical bases
• Quantum algebraic structures compatible with the harmonic oscillator Newton equation
• Über Orthogonalpolynome, die q‐Differenzengleichungen genügen
• On the Contraction of Groups and Their Representations

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