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.
Similar content being viewed by others
References
H.E. Montgomery Jr, N. Aquino, A. Flores-Riveros, Phys. Lett. A 374, 2044 (2010)
F.M. Fernández, Eur. J. Phys. 31, 285 (2010)
F.M. Fernández, Introduction to Perturbation Theory in Quantum Mechanics (CRC Press, Boca Raton, 2001)
C. Laughlin, Adv. Quantum Chem. 57, 203 (2009)
C. Laughlin, S.-I. Chu, J. Phys. A 42, 265004 (11 pp.) (2009)
J.L. Marín, R. Rosas, A. Uribe, Am. J. Phys. 63, 460 (1995)
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Fernández, F.M. Perturbation theory for confined systems. J Math Chem 52, 174–177 (2014). https://doi.org/10.1007/s10910-013-0252-6
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s10910-013-0252-6