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Two-center integrals for arbitrary potentials: franck-condon factors

✍ Scribed by J. Morales; L. Sandoval; A. Palma; J. Lopez-Bonilla

Publisher
Elsevier Science
Year
1987
Tongue
English
Weight
254 KB
Volume
135
Category
Article
ISSN
0009-2614

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✦ Synopsis

An exact formula for the calculation of any operator two-center integral, in the most general case of arbitrary potential eigenfunctions, is obtained by means of a hypervirial-like theorem commutator algebraic procedure. As an application of the proposed formula, the particular case of overlap matrix elements is considered and the Ta-You Wu relation is generalized; as an example, the harmonic oscillator representation is used in order to obtain the Ansbacher recursion formulae.

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The aim of this study is to establish a new representation for the dynamic algebra of the Morse oscillator and to establish the raising and lowering operators based on the properties of the confluent hypergeometric functions. Using the representation we have obtained a recurrent analytic method for