Exact quantization rule and its applications to physical potentials

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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.

Original languageEnglish
Pages (from-to)189-198
Number of pages10
JournalInternational Journal of Modern Physics E
Volume16
Issue number1
DOIs
StatePublished - Jan 2007

Keywords

  • Deformed harmonic oscillator
  • Exact quantization rule
  • Kratzer potential
  • Pseudoharmonic oscillator

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