Skip to main content
Log in

Abstract.

In this paper, the canonical quantization of singular Lagrangian defined in a finite volume is discussed by studying a 1 + 1 dimensional free Schrödinger field. We take the boundary conditions (BCs) as Dirac constraints, and show that those BCs as well as the intrinsic constraints (which are introduced by the singularities of Lagrangian) form the second class constraints. The quantization is performed canonically.

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

Access this article

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. M.M. Sheikh-Jabbari, A. Shirzad, Eur. Phys. J. C 19, 383 (2001)

    Google Scholar 

  2. F. Ardalan, H. Arfaei, M.M. Sheikh-Jabbari, Nucl. Phys. B 576, 578 (2000), hep-th/9906161

    Google Scholar 

  3. C.S. Chu, P.M. Ho, Nucl. Phys. B 550 (1999), hep-th/9812219

  4. C.S. Chu, P.M. Ho, Nucl. Phys. B 568, 447 (2000), hep-th/9906192

    Google Scholar 

  5. P.A.M. Dirac, Lecture Notes on Quantum Mechanics, Yeshiva University, New York, 1964

  6. L.D. Faddeev, R. Jackiw, Phys. Rev. Lett. 60, 1691 (1988)

    Google Scholar 

  7. D.M. Gitman, I.V. Tyutin, Quantization of Fields with Constraints, Springer-Verlag, 1990

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Jian Jing.

Additional information

Received: 30 August 2004, Revised: 2 October 2004, Published online: 17 December 2004

PACS:

11.25-W, 04.60.D, 11.10.E

Rights and permissions

Reprints and permissions

About this article

Cite this article

Jing, J. On the boundary conditions as Dirac constraints. Eur. Phys. J. C 39, 123–127 (2005). https://doi.org/10.1140/epjc/s2004-02079-8

Download citation

  • Issue Date:

  • DOI: https://doi.org/10.1140/epjc/s2004-02079-8

Keywords

Navigation