On the quantization of a particle in an external gravitational field
Teoretičeskaâ i matematičeskaâ fizika, Tome 8 (1971) no. 3, pp. 359-368 Cet article a éte moissonné depuis la source Math-Net.Ru

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The quasiclassical approximation is studied for a quantum particle in an external gravitational field and the ambiguity of the quantum Hamiltonian is discussed. A particle in an externaI gravitational field is quantized in accordance with the Feynman procedure.
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G. A. Vilkovyskii. On the quantization of a particle in an external gravitational field. Teoretičeskaâ i matematičeskaâ fizika, Tome 8 (1971) no. 3, pp. 359-368. http://geodesic.mathdoc.fr/item/TMF_1971_8_3_a7/

[1] Dzh. Sing, Obschaya teoriya otnositelnosti, IL, 1963

[2] V. A. Fok, Raboty po kvantovoi teorii polya, Sb., LGU, 1957

[3] R. P. Feynman, Phys. Rev., 84 (1951), 108 | DOI | MR | Zbl

[4] J. Schwinger, Phys. Rev., 82 (1951), 664 | DOI | MR | Zbl

[5] E. S. Fradkin, Dissertatsiya, ITF, 1960

[6] M. B. Menskii, YaF, 9 (1969), 1293 | MR

[7] Z. Chylinsky, Acta Phys. Polon., 30 (1966), 293

[8] J. Gohnson, Phys. Rev., 181 (1969), 1755 | DOI | MR

[9] J. Cooke, Phys. Rev., 166 (1967), 1293 | DOI

[10] G. A. Vilkovyskii, K. P. Stanyukovich, Problemy teorii gravitatsii i elementarnykh chastits, no. 2, Atomizdat, 1969

[11] B. S. De Witt, Phys. Rev., 85 (1952), 653 | DOI | Zbl

[12] B. S. De Witt, Rev. Mod. Phys., 29 (1957), 351 | DOI | MR

[13] W. Pauli, Feldquantisieryng lecture notes, Zürich, 1950–1951

[14] R. P. Feynman, Rev. Mod. Phys., 20 (1948) | DOI | MR

[15] R. Feinman, A. Khibs, Kvantovaya mekhanika i integraly po traektoriyam, «Mir», 1968

[16] J. H. Van Vleck, Proc. Nat. Acad. Sci., 14 (1928), 178 | DOI | Zbl

[17] G. A. Vilkovyskii, Preprint VNIIOFI, 70-2, 1970

[18] R. Penrose, Proc. Roy. Soc., A284 (1965), 159 | DOI | MR | Zbl

[19] G. A. Vilkovyskii, Preprint VNIIOFI, 70-6, 1970 | MR

[20] V. Fock, J. Phys., 39 (1926) | Zbl

[21] S. Brans, R. Dicke, Phys. Rev., 124 (1961) | DOI | MR | Zbl

[22] I. M. Gelfand, A. M. Yaglom, UMN, 11 (1956) | Zbl

[23] G. A. Vilkovyskii, Preprint VNIIFTRI (to appear) | Zbl