Quasi-Fibonacci oscillators

DOI10.1088/1751-8113/43/24/245204zbMath1191.81135arXiv1002.0601OpenAlexW3105218587MaRDI QIDQ3575076

Ivan I. Kachurik, Alexandre M. Gavrilik, Anastasiya P. Rebesh

Publication date: 7 July 2010

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

Full work available at URL: https://arxiv.org/abs/1002.0601

zbMATH Keywords

eigenvalueseigenvectorspolynomialsquantum groupssingular valuesquantized enveloping algebrasFibonacci numberLucas numbergeneralizationsoperator algebra methodscommutation relations and statisticsrelated deformations

Mathematics Subject Classification ID

Quantum groups (quantized enveloping algebras) and related deformations (17B37) Quantum groups and related algebraic methods applied to problems in quantum theory (81R50) Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Fibonacci and Lucas numbers and polynomials and generalizations (11B39)

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