Abstract
The variational formulation of the Schrödinger field was investigated and the applicability of the chain method was analyzed. Using Batalin-Fradkin-Tyutin formalism a gauge invariant theory was constructed.
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References
E. Schrödinger: Ann. Phys. 79 (1926) 361.
R.P. Feynman: Science 153 (1966) 699.
P.A.M. Dirac: Phys. Z. Sowjetunion 3 (1933) 64.
L.A. Gergely: Ann. Phys. 298 (2002) 394.
P.A.M. Dirac: Lectures on Quantum Mechanics. Yeshiva University, New York (N.Y.), 1964.
A. Hanson, T. Regge, and C. Teitelboim: Constrained Hamiltonian systems. Academia Nationale dei Lincei, Rome, 1976. K. Sundermeyer: Constrained Dynamics. Lecture Notes in Physics, Vol. 169, Springer-Verlag, New-York, 1982. M. Henneaux: Phys. Rep. 126 (1985) 1. M. Henneaux and C. Teitelboim: Quantization of Gauge Systems. Princeton University Press, 1992. J. Govaerts: Hamiltonian Quantization and Constrained Dynamics. Leuven University Press, Leuven, 1991. S. Shabanov: Phys. Rep. 326 (2000) 1. M. Henneaux: Phys. Lett. B 315 (1993) 283.
L.D. Faddeev and R. Jackiw: Phys. Rev. Lett. 60 (1988) 1692.
P. Mitra and R. Rajaraman: Ann. Phys. 203 (1990) 137.
P. Mitra and R. Rajaraman: Ann. Phys. 203 (1990) 157.
F. Loran and A. Shirzad: Int. J. Mod. Phys. A 17 (2002) 625.
E.M. Henley and W. Thirring: Elementary Quantum Field Theory. McGraw-Hill Book Company, 1962.
L.I. Schi.: Quantum Mechanics. Mc-Graw-Hill Book Company, 1988.
I.A. Batalin and E.S. Fradkin: Phys. Lett. B 180 (1986) 156; Nucl. Phys. B 279 (1987) 514. I.A. Batalin, E.S. Fradkin, and E.S. Fradkina: Nucl. Phys. B 314 (1989) 158. I.A. Batalin and I.V. Tyutin: Int. J. Mod. Phys. A 6 (1991) 3255. 976 Czech. J. Phys. 53 (2003)
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Baleanu, D. Variational Formulation of the Schrödinger Field. Czechoslovak Journal of Physics 53, 971–976 (2003). https://doi.org/10.1023/B:CJOP.0000010520.27529.b4
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DOI: https://doi.org/10.1023/B:CJOP.0000010520.27529.b4