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
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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.