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 TMF, 1977, Volume 30, Number 2, Pages 228–238 (Mi tmf2785)

Path integral representation for inelastic scattering amplitude and its quasiclassical approximations

A. V. Bogdanov, G. V. Dubrovskiy

Abstract: Different forms of path-integral representation for inelastic, scattering amplitude derived by means of a method suggested earlier by the authors, are discussed. In particular, the path-integral representation for excitation amplitude in the angle-action variables is obtained, as well as the expression for the potential scattering amplitude in the Glauber form. The formulas obtained are convenient for construction of quasiclassical approximations in the framework of the stationary phase method. General quasiclasrsical expression for the excitation amplitude and corresponding eikonal formula including the corrections due to internat motion of the target are given.

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English version:
Theoretical and Mathematical Physics, 1977, 30:2, 146–152

Citation: A. V. Bogdanov, G. V. Dubrovskiy, “Path integral representation for inelastic scattering amplitude and its quasiclassical approximations”, TMF, 30:2 (1977), 228–238; Theoret. and Math. Phys., 30:2 (1977), 146–152

Citation in format AMSBIB
\Bibitem{BogDub77} \by A.~V.~Bogdanov, G.~V.~Dubrovskiy \paper Path integral representation for inelastic scattering amplitude and its quasiclassical approximations \jour TMF \yr 1977 \vol 30 \issue 2 \pages 228--238 \mathnet{http://mi.mathnet.ru/tmf2785} \transl \jour Theoret. and Math. Phys. \yr 1977 \vol 30 \issue 2 \pages 146--152 \crossref{https://doi.org/10.1007/BF01029288} 

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This publication is cited in the following articles:
1. A. V. Bogdanov, G. V. Dubrovskiy, “Quasiclassical integral representations of the scattering amplitude for rearrangement processes”, Theoret. and Math. Phys., 54:3 (1983), 278–283
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