Title
Comparison between the Morse eigenfunctions and deformed oscillator wavefunctions
Date Issued
21 May 2008
Access level
metadata only access
Resource Type
conference paper
Author(s)
Universidad Simón Bolívar
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.
Start page
565
End page
570
Volume
992
Language
English
OCDE Knowledge area
Física atómica, molecular y química
Scopus EID
2-s2.0-43649106656
Source
AIP Conference Proceedings
Resource of which it is part
AIP Conference Proceedings
ISSN of the container
15517616
ISBN of the container
9780735405110
Sources of information:
Directorio de Producción Científica
Scopus