Skip to main content
SpringerLink
Log in

Perturbation theory for confined systems

  • Original Paper
  • Published:
Journal of Mathematical Chemistry Aims and scope Submit manuscript

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.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

  1. H.E. Montgomery Jr, N. Aquino, A. Flores-Riveros, Phys. Lett. A 374, 2044 (2010)

    Article  CAS  Google Scholar 

  2. F.M. Fernández, Eur. J. Phys. 31, 285 (2010)

    Article  Google Scholar 

  3. F.M. Fernández, Introduction to Perturbation Theory in Quantum Mechanics (CRC Press, Boca Raton, 2001)

    Google Scholar 

  4. C. Laughlin, Adv. Quantum Chem. 57, 203 (2009)

    Article  CAS  Google Scholar 

  5. C. Laughlin, S.-I. Chu, J. Phys. A 42, 265004 (11 pp.) (2009)

  6. J.L. Marín, R. Rosas, A. Uribe, Am. J. Phys. 63, 460 (1995)

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. División Química Teórica, INIFTA (UNLP, CCT La Plata-CONICET), Diag. 113 y 64 (S/N), Sucursal 4, Casilla de Correo 16, 1900 , La Plata, Argentina

    Francisco M. Fernández

Authors
  1. Francisco M. Fernández
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to Francisco M. Fernández.

Rights and permissions

Reprints 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

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s10910-013-0252-6

Keywords

Search

Navigation