On a q-deformed harmonic oscillator with variable linear momentum

zbMath0790.34037MaRDI QIDQ1318618

Harold Exton

Publication date: 6 April 1994

Published in: Collectanea Mathematica (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/39584

zbMATH Keywords

eigenfunctionsexact solutions\(q\)-Hermite polynomialsquantum mechanical model\(q\)-deformed harmonic oscillatorvariable momentum

Mathematics Subject Classification ID

Particular ordinary differential operators (Dirac, one-dimensional Schrödinger, etc.) (34L40) Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Nonlinear oscillations and coupled oscillators for ordinary differential equations (34C15)

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