Abstract
This work is devoted (a) to discussing some problems related to the quantization rule for constrained classical models of Fermi type, and (b) to working with some detail a specific model which is a classical analogue of the quantum Fermi systems. The quantization of this model is shown to depend on the addition of a total time derivative to the corresponding Lagrangian.
Similar content being viewed by others
References
Bergmann, P. G. and Goldberg, I. (1955).Physical Review,98, 531.
Dirac, P. A. M. (1950).Canadian Journal of Mathematics,2, 129.
Dirac, P. A. M. (1951).Canadian Journal of Mathematics,3, 1.
Dirac, P. A. M. (1958).Proceedings of the Royal Society, Ser. A,246, 326.
Dirac, P. A. M. (1964). Lectures on Quantum Mechanics, Belfer Graduate School of Science Monograph Series No. 2. Yeshiva University, New York.
Droz-Vincent, P. (1966).Annales de l'Institut Henri Poincaré, Sec. A,5, 257.
Franke, W. and Kálnay, A. J. (1970).Journal of Mathematical Physics,11, 1729.
Peirls, R. E. (1952).Proceedings of the Royal Society, Ser. A,214, 143.
Kálnay, A. J. (1971).Parastatistics and Dirac Brackets. Preprint IC/71/141, International Centre for Theoretical Physics (Trieste). (To be published inInternational Journal of Theoretical Physics.)
Kalnay, A. J. (1972).The Electron Field and the Dirac Brackets. (To be published inInternational Journal of Theoretical Physics)
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Kálnay, A.J., Ruggeri, G.J. The quantization of Fermi systems and the Dirac bracket. Int J Theor Phys 6, 167–174 (1972). https://doi.org/10.1007/BF00672071
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF00672071