Comparison between the Morse eigenfunctions and deformed oscillator wavefunctions
Por:
Récamier J., Gorayeb M., Mochán W.L., Paz J.L.
Publicada:
1 ene 2008
Categoría:
Physics and Astronomy (miscellaneous)
Resumen:
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 (n?), † = f(n?)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.
Filiaciones:
Instituto de Ciencias Físicas, Universidad Nacional Autónoma de México, Apdo. Postal 48-3, Cuernavaca, Mor., 62251, Mexico
Departamento de Química, Universidad Simón Bolívar, Apartado 89000, Caracas 1080A, Venezuela
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