✦ LIBER ✦

Hypervirial analysis of enclosed quantum mechanical systems. II. von Neumann boundary conditions and periodic potentials

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

Publisher: John Wiley and Sons
Year: 1981
Tongue: English
Weight: 393 KB
Volume: 19
Category: Article
ISSN: 0020-7608
DOI: 10.1002/qua.560190407

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✦ Synopsis

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.

📜 SIMILAR VOLUMES

Hypervirial analysis of enclosed quantum

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

✍ Francisco M. Fernández; Eduardo A. Castro 📂 Article 📅 1981 🏛 John Wiley and Sons 🌐 English ⚖ 464 KB

## 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

Hypervirial analysis of enclosed quantum mechanical systems. III. Unsymmetrical boundary conditions

✍ Francisco M. Fernández; Eduardo A. Castro 📂 Article 📅 1981 🏛 John Wiley and Sons 🌐 English ⚖ 334 KB

## 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.