Abstract
The problem of canonical quantization of singular systems in a finite volume is studied by analysing a non-relativistic field theory. Firstly, we take the boundary conditions (BCs) as primary Dirac constraints. The quantization is performed canonically using Dirac’s procedure. Then, we quantize this model canonically in the classical solution space. We show that these two different quantization schemes are equivalent although they start from different settings.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
Sheikh-Jabbari, M.M., Shirzad, A.: Eur. Phys. J. C 19, 383 (2001)
Ardalan, F., Arfaei, H., Sheikh-Jabbari, M.M.: Nucl. Phys. B 576, 578 (2000)
Chu, C.S., Ho, P.M.: Nucl. Phys. B 550, 151 (1999)
Chu, C.S., Ho, P.M.: Nucl. Phys. B 568, 447 (2000)
Dehghani, M., Shirzad, A.: Eur. Phys. J. C 48, 315–325 (2006)
Jing, J.: Eur. Phys. J. C 39, 123 (2005)
Jing, J.: Phys. Rev. D 71, 025023 (2005)
Jing, J., Long, Z.-W.: Phys. Rev. D 72, 126002 (2005)
Jing, J.: Phys. Rev. D 73, 086001 (2006)
Dirac, P.A.M.: Lecture Notes on Quantum Mechanics. Yeshiva University, New York (1964)
Li, Z.-P., Jiang, J.-H.: Symmetries in Constrained Canonical Systems. Science, Beijing (2002)
Gitman, D.M., Tyutin, I.V.: Quantization of Fields with Constraints. Springer, Berlin (1990)
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Guo, YH., Ma, JY., Jing, J. et al. Canonical Quantization of Field Theories with Boundaries. Int J Theor Phys 47, 1877–1884 (2008). https://doi.org/10.1007/s10773-007-9632-7
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s10773-007-9632-7