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Hypervirial analysis of enclosed quantum mechanical systems. I. Dirichlet boundary conditions

✍ Scribed by Francisco M. Fernández; Eduardo A. Castro

Publisher
John Wiley and Sons
Year
1981
Tongue
English
Weight
464 KB
Volume
19
Category
Article
ISSN
0020-7608

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✦ Synopsis

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 generalization of previous ones for the virial theorem when there exist nonusual boundary conditions. The values obtained are compared with other approximate methods. Several extensions are proposed.

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