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.
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
\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}
Linking options:
https://www.mathnet.ru/eng/tmf2785
https://www.mathnet.ru/eng/tmf/v30/i2/p228
This publication is cited in the following 4 articles:
R. Rosenfelder, “Path integrals for potential scattering”, Phys. Rev. A, 79:1 (2009)
V. V. Smirnov, “Test of a path-integral approach for the computation of scattering cross sections on an exactly solvable model”, Phys. Rev. A, 76:5 (2007)
A.V. Bogdanov, G.V. Dubrovskii, Yu.E. Gorbachev, V.M. Strelchenya, “Theory of vibrational and rotational excitation of polyatomic molecules”, Physics Reports, 181:3 (1989), 121
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
Citation in format AMSBIB
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