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Prog. Theor. Phys. Vol. 76 No. 3 (1986) pp. 571-575
WKB Approximations for Relativistic Particles
Takashi Miura
Department of Physics, Faculty of Engineering, Kanagawa University, Yokohama 221
(Received February 3, 1986)
Abstract:
The Schwinger-DeWitt expansions are shown to give the WKB approximations for a free particle in the curved space-time. WKB approximations for a relativistic scalar particle in external electromagnetic fields are also given by using the same expansions in the Kaluza-Klein space. The higher order corrections are calculated concretely in this formulation.
URL :
http://ptp.ipap.jp/link?PTP/76/571/
DOI : 10.1143/PTP.76.571
References:
- B. S. DeWitt, in Relativity, Groups and Topology, ed. C. DeWitt and B. DeWitt (Gordon and Breach, New York, 1964); Dynamical Theory of Groups and Fields (Gordon and Breach, New York, 1965); in Genaral Relativity, ed. S. Hawking and W. Israel (Cambridge University Press, Cambridge, 1979).
- J. S. Dowker, in Functional Integration and Its Applications, ed. A. Arthurs (Clarendon Press, Oxford, 1975).
-
C. DeWitt-Morette, A. Maheshwari and B. Nelson, Phys. Rep. 50 (1979), 255, [CrossRef]and references given therein.
-
C. DeWitt-Morette and T. R. Zhang, Phys. Rev. D28 (1983), 2503[APS];
ibid. D28 (1983), 2517[APS].
-
C. DeWitt-Morette, B. Nelson and T. R. Zhang, Phys. Rev. D28 (1983), 2526[APS].
-
F. Langouche and D. Roekaerts, Phys. Rev. D23 (1981), 1290[APS].
- T. Miura, Prog. Theor. Phys. 61 (1979), 1521[PTP].
- T. Miura, Prog. Theor. Phys. 66 (1981), 672, [PTP]chap. 5.
- G. N. Watson, Theory of Bessel Functions (Cambridge University Press, Cambridge, 1944), p. 198.
-
J. Bekenstein and L. Parker, Phys. Rev. D23 (1981), 2850[APS].
