The convolution theorem is used to evaluate the Franck᎐Condon integral. It is shown that this integral becomes the matrix element between two ''squeezed'' states. This enables one to evaluate the integral by using boson operators. In addition, a general method is developed to obtain integrals invol
The nonabelian two-dimensional algebra and the franck-condon integral
✍ Scribed by A. Palma; L. Sandoval
- Publisher
- John Wiley and Sons
- Year
- 1988
- Tongue
- English
- Weight
- 123 KB
- Volume
- 34
- Category
- Article
- ISSN
- 0020-7608
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📜 SIMILAR VOLUMES
With the aid of addition theorems of harmonic oscillator wave functions and associated Laguerre polynomials, the two-dimensional Franck-Condon overlap integrals under the Duschinsky mixing effect are transformed into a separable form. As an illustration, Franck-Condon factors of the 2B2-ZA, band sys
The application of the Franck-Condon principle to two-photon spectra is discussed, and it is shown that both simple and more complex theories suggest that much of the familiar form of the Herzberg-Teller description for one-photon spectra, and the same vibrational overlap integrals, can be applied t
## Abstract The calculus of the overlap integral for two states represented by the vibrational wave functions ψ and ψ is reduced to that of the Franck–Condon integral ℒ(0, __x__) = ∫ ψψ (__t__) __dt__. It is proved that for “numerical potentials” (as well as for a Dunham potential), this integral i