Ladder operators for the Morse potential

descriptionPublicationkeyboard_double_arrow_right Article 19 Oct 2001 English Publisher:WileyJournal:International Journal of Quantum Chemistry, volume 86, pages 433-439 (issn: 0020-7608, eissn: 1097-461X,

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Authors: Shi‐Hai Dong; R. Lemus; A. Frank;

doi: 10.1002/qua.10038

Ladder operators for the Morse potential

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Abstract

AbstractA realization of the raising and lowering operators for the Morse potential is presented. It is shown that these operators satisfy the commutation relations for the SU(2) group. Closed analytical expressions are obtained for the matrix elements of different operators such as 1/y and d/dy. The harmonic limit of the SU(2) operators is also studied and an approach previously proposed to calculate the Franck–Condon factors is discussed. © 2001 John Wiley & Sons, Inc. Int J Quantum Chem, 2001

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National Autonomous University of Mexico
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