Título |
Morse Potential in the Momentum Representation |
Tipo |
Revista |
Sub-tipo |
JCR |
Descripción |
Communications in Theoretical Physics |
Resumen |
The momentum representation of the Morse potential is presented analytically by hypergeometric function. The properties with respect to the momentum p and potential parameter β are studied. Note that |Ψ(p)| is a nodeless function and the mutual orthogonality of functions is ensured by the phase functions arg[Ψ(p)]. It is interesting to see that the |Ψ(p)| is symmetric with respect to the axis p = 0 and the number of wave crest of |Ψ(p)| is equal to n + 1. We also study the variation of |Ψ(p)| with respect to β. The amplitude of |Ψ(p)| first increases with the quantum number n and then deceases. Finally, we notice that the discontinuity in phase occurs at some points of the momentum p and the position and momentum probability densities are symmetric with respect to their arguments. |
Observaciones |
DOI: 10.1088/0253-6102/58/6/05 |
Lugar |
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País |
Inglaterra |
No. de páginas |
815-818 |
Vol. / Cap. |
Vol. 58, Issue 6 |
Inicio |
2012-12-15 |
Fin |
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ISBN/ISSN |
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