### Abstract

Original language | American English |
---|---|

Pages (from-to) | 815-818 |

Number of pages | 733 |

Journal | Communications in Theoretical Physics |

DOIs | |

State | Published - 1 Dec 2012 |

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**Morse potential in the momentum representation.** / Sun, Guo Hua; Dong, Shi Hai.

Research output: Contribution to journal › Article › Research › peer-review

TY - JOUR

T1 - Morse potential in the momentum representation

AU - Sun, Guo Hua

AU - Dong, Shi Hai

PY - 2012/12/1

Y1 - 2012/12/1

N2 - 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. © 2012 Chinese Physical Society and IOP Publishing Ltd.

AB - 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. © 2012 Chinese Physical Society and IOP Publishing Ltd.

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U2 - 10.1088/0253-6102/58/6/05

DO - 10.1088/0253-6102/58/6/05

M3 - Article

SP - 815

EP - 818

JO - Communications in Theoretical Physics

JF - Communications in Theoretical Physics

SN - 0253-6102

ER -