## Abstract The Generator Coordinate Approximation, a relatively recent approximation formulated to solve systems of three or more bodies, is tested for its accuracy and viability by applying it to calculate the roβvibrational energies of the triatomic system H\documentclass{article}\pagestyle{empt
On the generator coordinate approximation for two-state problems
β Scribed by J. Broeckhove; W. Keutgens; L. Lathouwers; P. Van Leuven
- Publisher
- Elsevier Science
- Year
- 1995
- Tongue
- English
- Weight
- 416 KB
- Volume
- 236
- Category
- Article
- ISSN
- 0009-2614
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β¦ Synopsis
The generator coordinate approximation (GCA) is a non-adiabatic theory based on the convolution of electronic and nuclear wavefunctions. In a two-state problem there are two versions of the GCA according to which of the two electronic states is chosen. In this study we compare the quality of both approximations using a highly non-adiabatic avoided crossing in the spectrum of nitrogen. It is found that the upper state can generate quite good results for the low-energy spectrum. In the limiting case of exact crossing, both GCA versions become equal and exact.
π SIMILAR VOLUMES
We derive approximate analytical solutions for a class of two-state dynamical problems in which the states can differ in energy and are coupled by a time-dependent potential. These have many applications, of which atomic laser coupling Ε½ . Ε½ . ALC and resonant charge transfer RCT are specific import
## Abstract For an arbitrary differential operator __P__ of order __p__ on an open set __X__ β R^n^, the Laplacian is defined by Ξ = __P__\*__P__. It is an elliptic differential operator of order __2p__ provided the symbol mapping of __P__ is injective. Let __O__ be a relatively compact domain in _