Comparison between the Morse eigenfunctions and deformed oscillator wavefunctions

Abstract:

In this work we introduce deformed creation and annihilation operators which differ from the usual harmonic oscillator operators a, a† by a number operator function  = â f (n̂), † = f(n̂)â†. We construct the deformed coordinate and momentum in terms of the deformed operators and maintain only up to first order terms in the deformed operators. By application of the deformed annihilation operator upon the vacuum state we get the ground state wavefunction in the configuration space and the wavefunctions for excited states are obtained by repeated application of the deformed creation operator. Finally, we compare the wavefunctions obtained with the deformed operators with the corresponding Morse eigenfunctions. © 2008 American Institute of Physics.

Año de publicación:

2008

Keywords:

Fuente:

scopus