Journal of Physics A Mathematical and Theoretical

Solutions of theq-deformed Schrödinger equation for special potentials

Alina Dobrogowska, Anatol Odzijewicz

Published Feb 14, 2007• 30 citations

Abstract

Solutions of the q -deformed Schrödinger equation are presented for the following potentials: shifted oscillator, isotropic oscillator, Rosen–Morse II, Eckart II, and Poschl–Teller I and II potentials. Various properties of solutions to such equations are discussed including the limit case q → 1 that corresponds to the non-deformed Schrödinger equation.

DOI: 10.1088/1751-8113/40/9/008

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