On a q-deformed harmonic oscillator with variable linear momentum

• Autores: Harold Exton
• Localización: Collectanea mathematica, ISSN 0010-0757, Vol. 43, Fasc. 3, 1992, págs. 187-190
• Idioma: inglés
• Títulos paralelos:
  • Sobre un oscilador armónico q-deformado con momento lineal variable
• Enlaces
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• Resumen

  • A quantum mechanical model is introduced which includes variable momentum. This may be associated notionally with the variable moment of inertia model and is applied to give exact solutions to a $q$-deformed harmonic oscillator. The cigenfunctions are gieven n terms of a class of $q$-Hermite polynomials. When the base $q\quad l$, the classical case is recovered.

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