Comparison between the Morse eigenfunctions and deformed oscillator wavefunctions
- Instituto de Ciencias Fisicas Universidad Nacional Autonoma de Mexico Apdo. Postal 48-3, Cuernavaca, Mor., 62251 Mexico (Mexico)
- Departamento de Quimica, Universidad Simon Bolivar, Apartado 89000, Caracas 1080A (Venezuela)
In this work we introduce deformed creation and annihilation operators which differ from the usual harmonic oscillator operators a, a{sup {dagger}} by a number operator function A circumflex = a circumflex f(n circumflex ), A circumflex {sup {dagger}} = f(n circumflex )a circumflex {sup {dagger}}. 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.
- OSTI ID:
- 21137078
- Journal Information:
- AIP Conference Proceedings, Vol. 992, Issue 1; Conference: RIAO/OPTILAS 2007: RIAO: 6. Ibero-American conference on optics; OPTILAS: 9. Latin-American meeting on optics, lasers and applications, Campinas, Sao Paulo (Brazil), 21-26 Oct 2007; Other Information: DOI: 10.1063/1.2926928; (c) 2008 American Institute of Physics; Country of input: International Atomic Energy Agency (IAEA); ISSN 0094-243X
- Country of Publication:
- United States
- Language:
- English
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