International Journal of Modern Physics E

EXACT QUANTIZATION RULE AND ITS APPLICATIONS TO PHYSICAL POTENTIALS

Shi‐Hai Dong, Daniel Morales, Jesús García‐Ravelo

Published Jan 1, 2007• 79 citations

Abstract

By using the exact quantization rule, we present analytical solutions of the Schrödinger equation for the deformed harmonic oscillator in one dimension, the Kratzer potential and pseudoharmonic oscillator in three dimensions. The energy levels of all the bound states are easily calculated from this quantization rule. The normalized wavefunctions are also obtained. It is found that the present approach can simplify the calculations.

DOI: 10.1142/s0218301307005661

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