## Abstract Diagonal hypervirial relations are applied to enclosed one‐dimensional systems when wave functions obey Dirichlet boundary conditions. A general formula for the energy is derived and it shows a striking difference with the usual formulas through an “extra” term. It constitutes a general
Hypervirial analysis of enclosed quantum mechanical systems. III. Unsymmetrical boundary conditions
✍ Scribed by Francisco M. Fernández; Eduardo A. Castro
- Publisher
- John Wiley and Sons
- Year
- 1981
- Tongue
- English
- Weight
- 334 KB
- Volume
- 20
- Category
- Article
- ISSN
- 0020-7608
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✦ Synopsis
Abstract
New theoretical developments based upon hypervirial analysis of enclosed systems are given. Systems which obey unsymmetrical boundary conditions are analyzed. Several results which were given by the authors in two previous communications are generalized.
📜 SIMILAR VOLUMES
## Abstract Previous results on the hypervirial analysis of confined systems are extended. Periodic potentials are discussed and an efficient alternative way to solve the Mathieu equation is proposed.
## Abstract New formal results regarding the hypervirial analysis of enclosed systems are given. Novel applications are presented and several previous equations are reformulated in a more appropriate form.
An approximate method of Sakimoto and Onda for deriving the Smatrix elements for dissociative collisions in collinear atom-diatom reactive systems, which provided accurate total dissociation probabilities, has been tested further. To do this, kinetic energy distributions of atomic products have been