Quantum simulation of vibration states and Franck-Condon overlap in non-separable potentials
✍ Scribed by W. Lorenz; O. Heitzsch
- Publisher
- Springer
- Year
- 1989
- Tongue
- English
- Weight
- 375 KB
- Volume
- 76
- Category
- Article
- ISSN
- 1432-2234
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📜 SIMILAR VOLUMES
## Abstract Franck–Condon overlaps are described as the matrix elements of unitary operators related to the spatial displacement and the frequency shift. They are calculated exactly by means of the coherent state representation. Furthermore, the generalized matrix elements of __x__^__j__^, __e__^−α
Pekeris' solution for vibrational-rotational levels of the Morse potential includes the unphysical domain -a < r < 0 of the internuclear separation, just like Morse's solution for vibrational levels. In this article, the method of confinement in a box is implemented to obtain the vibrational-rotatio
## 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
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