Summary
We canonically quantize the electromagnetic Maxwell theory in the second-order derivative formalism. We work in the radiation gauge, extended to an enlarged phase space.
Riassunto
Si quantizza canonicamente la teoria elettromagnetica di Maxwell nel formalismo della derivata di secondo ordine. Si lavora nel gauge di radiazione esteso ad uno spazio di fase allargato.
Резюме
Мы канонически квантуем электромагнитную теорию Максвелла в формализме производных второго порядка. Мы используем радиационную калибровку, обобщенную на расширенное фазовое пространство.
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References
For general recent reviews of the formalism involving higher-order derivatives, one can mention:S. V. Hawking:Who’s afraid of (higher derivative) ghosts? DAMTP preprint (Cambridge University, 1985);C. G. Bollini andJ. J. Giambiagi:Lagrangian procedures for higher order field equations, CBPF preprint (Rio de Janeiro, 1986);V. V. Nesterenko:The singular Lagrangians with higher derivatives, JINR preprint (Dubna, 1987);V. Tapia:Nuovo Cimento B,101, 183 (1988).
J. Barcelos-Neto andN. R. F. Braga:Acta Phys. Pol. B,20, 205 (1989).
C. A. P. Galvão andN. A. Lemos:J. Math. Phys. (N. Y.),29, 1588 (1988).
See, also,L. D. Landau andE. M. Lifshitz:Mechanics (Pergamon, Oxford, 1960).
P. A. M. Dirac:Can. J. Math.,2, 129 (1950);Lectures of Quantum Mechanics (Belfer Graduate School of Science, Yeshiva University, New York, N. Y., 1964).
For a general review of constrained canonical quantization seeA. Hanson, T. Regge andC. Teitelboim:Constrained Hamiltonian Systems (Accademia Nazionale dei Lincei, Rome, 1976);K. Sundermeyer:Constrained dynamics, Lecture Notes in Physics, Vol.169 (Springer, Berlin, 1982).
J. Barcelos-Neto andN. R. F. Braga:Phys. Rev. D,39, 494 (1989).
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Barcelos-Neto, J., Braga, N.R.F. Constrained quantization of the electromagnetic Maxwell theory in the second-order derivative formalism. Nuov Cim A 102, 1347–1352 (1989). https://doi.org/10.1007/BF02800343
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DOI: https://doi.org/10.1007/BF02800343