𝔖 Bobbio Scriptorium
✦   LIBER   ✦

On the strong coupling approximation in two-state molecular spectroscopy

✍ Scribed by W.H. Henneker; A.P. Penner

Publisher
Elsevier Science
Year
1976
Tongue
English
Weight
421 KB
Volume
42
Category
Article
ISSN
0009-2614

No coin nor oath required. For personal study only.

✦ Synopsis

Two different but complementary perturbation solutions to a two-state strong vibronic coupling model are presented. ' Here (&!?&n phys the same role as K in eq. (53) of ref. [ 11. Our calculation differs from the strong-coupling calculation in ref. [I] in two respects: (a) in the harmonic approximation our adiabatic frequencies cannot be equal unless the coupl& vanishes, and (b) in fg. 1 we vary Eo for constant A, while in ref.

[I 1 K is assumed constant so that A and EO are chosen to vrtry together. We thank Professor Fulton for helpful correspondence concerning this point.

πŸ“œ SIMILAR VOLUMES

Elastic and inelastic angular distributi
Elastic and inelastic angular distributions in the jz-conserving coupled states approximation for molecular collisions
✍ Paul McGuire πŸ“‚ Article πŸ“… 1973 πŸ› Elsevier Science 🌐 English βš– 294 KB

## An approximation scheme is described which allows the decoupling ot' molecular rotational j and I angular momenta in molecular collisions. \Vith a particular choice or the interaction potential, the potential matri\: couples only the moleculnr states of the system and in particular UIOS in whic

On the limits of applicability of the cl
On the limits of applicability of the classical trajectory equations in the two-state approximation
✍ Anne M. Woolley; Svend Erik Nielsen πŸ“‚ Article πŸ“… 1973 πŸ› Elsevier Science 🌐 English βš– 284 KB

The intIoducticjn of an average trajectory is much more powerful than can be appreciated from the derivations of the classical equations. This is discussed and exemplified by systems for which the general conditions derived will not be necessary conditions of applicability.

On the numerical solution of coupled eig
On the numerical solution of coupled eigenvalue differential equations arising in molecular spectroscopy
✍ R.S. Friedman; M.J. Jamieson; S.C. Preston πŸ“‚ Article πŸ“… 1990 πŸ› Elsevier Science 🌐 English βš– 655 KB

A method for solving coupled eigenvalue differential equations is given and its relation to an existing technique is shown. Use of the Gram-Schmidt process to overcome the severe instabilities arising in molecular problems is described in detail.

The bound state of weakly coupled SchrΓΆd
The bound state of weakly coupled SchrΓΆdinger operators in one and two dimensions
✍ Barry Simon πŸ“‚ Article πŸ“… 1976 πŸ› Elsevier Science 🌐 English βš– 443 KB

We study the unique bound state which (-d2/dx2) + hV and -A + XV (in two dimensions) have when A is small and V is suitable. Our main results give necessary and sufficient conditions for there to be a bound state when h is small and we prove analyticity (resp. nonanalyticity) of the energy eigenvalu