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Article

Ladder operators for the Morse potential

Shi‐Hai DongInstituto de Ciencias Nucleares, UNAM, A.P. 70-543, Circuito Exterior, C.U., 04510 México, D. F., MéxicoR. LemusInstituto de Ciencias Nucleares, UNAM, A.P. 70-543, Circuito Exterior, C.U., 04510 México, D. F., MéxicoA. FrankCentro de Ciencia Fisicas, UNAM, Apdo. Postal 139-B, Cuernavaca, Morelos, México
2001en
ABI

Abstract

Abstract A 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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