Journal of Mathematical Chemistry

, Volume 52, Issue 1, pp 174–177 | Cite as

Perturbation theory for confined systems

Original Paper

Abstract

We discuss the application of perturbation theory to a system of particles confined in a spherical box. A simple argument shows that the particles behave almost independently in sufficiently strong confinement. We choose the helium atom with a moving nucleus as a particular example and compare results of first order with those for the nucleus clamped at the center of the box. We provide a suitable explanation for some numerical results obtained recently by other authors.

Keywords

Confined systems Perturbation theory Helium atom 

References

  1. 1.
    H.E. Montgomery Jr, N. Aquino, A. Flores-Riveros, Phys. Lett. A 374, 2044 (2010)CrossRefGoogle Scholar
  2. 2.
    F.M. Fernández, Eur. J. Phys. 31, 285 (2010)CrossRefGoogle Scholar
  3. 3.
    F.M. Fernández, Introduction to Perturbation Theory in Quantum Mechanics (CRC Press, Boca Raton, 2001)Google Scholar
  4. 4.
    C. Laughlin, Adv. Quantum Chem. 57, 203 (2009)CrossRefGoogle Scholar
  5. 5.
    C. Laughlin, S.-I. Chu, J. Phys. A 42, 265004 (11 pp.) (2009)Google Scholar
  6. 6.
    J.L. Marín, R. Rosas, A. Uribe, Am. J. Phys. 63, 460 (1995)CrossRefGoogle Scholar

Copyright information

© Springer Science+Business Media New York 2013

Authors and Affiliations

  1. 1.División Química TeóricaINIFTA (UNLP, CCT La Plata-CONICET)La PlataArgentina

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