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Two-step approach to the Morse-potential derivation of the energy spectrum and its application to Frank-Condon factors

Two-step approach to the Morse-potential derivation of the energy spectrum and its application to... A recently proposed two-step method is applied to the quantum-mechanical problem of one-dimensional Morse potential. The method is composed of two steps. In the first step a variational principle is applied to a generalized coherent-state ansatz which in the present case is nothing but a Gaussian with a shifted origin and modified frequency. Correlation corrections are then added in the second step by standard perburbation. The ‘‘rigorous formula’’ for the energy spectrum is derived by a lowest-order perturbation calculation. As a severe test of the theory, we have applied the method to calculate the Frank-Condon factors. The agreement with numerical calculation is excellent over eight orders of magnitude. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Physical Review A American Physical Society (APS)

Two-step approach to the Morse-potential derivation of the energy spectrum and its application to Frank-Condon factors

Hsue, Chen-Shiung
Physical Review A , Volume 33 (2) – Feb 1, 1986
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Publisher
American Physical Society (APS)
Copyright
Copyright © 1986 The American Physical Society
ISSN
1094-1622
DOI
10.1103/PhysRevA.33.1392
Publisher site
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Abstract

A recently proposed two-step method is applied to the quantum-mechanical problem of one-dimensional Morse potential. The method is composed of two steps. In the first step a variational principle is applied to a generalized coherent-state ansatz which in the present case is nothing but a Gaussian with a shifted origin and modified frequency. Correlation corrections are then added in the second step by standard perburbation. The ‘‘rigorous formula’’ for the energy spectrum is derived by a lowest-order perturbation calculation. As a severe test of the theory, we have applied the method to calculate the Frank-Condon factors. The agreement with numerical calculation is excellent over eight orders of magnitude.

Journal

Physical Review A – American Physical Society (APS)

Published: Feb 1, 1986

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