Abstract:
Using the properties of the Jost functions and their generalisations introduced in
this article, mathematical properties and singularities of S-matrix of the elastic scattering
are studied for local hard-core, non-local separable, complex local and non-local
separable hard-core potentials.
Citation:
M. V. Nikolaev, V. S. Ol'khovskii, “Analytic structure of the S matrix for some classes of potentials”, TMF, 31:2 (1977), 214–219; Theoret. and Math. Phys., 31:2 (1977), 418–421
\Bibitem{NikOlk77}
\by M.~V.~Nikolaev, V.~S.~Ol'khovskii
\paper Analytic structure of the $S$ matrix for some classes of potentials
\jour TMF
\yr 1977
\vol 31
\issue 2
\pages 214--219
\mathnet{http://mi.mathnet.ru/tmf2953}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=509920}
\transl
\jour Theoret. and Math. Phys.
\yr 1977
\vol 31
\issue 2
\pages 418--421
\crossref{https://doi.org/10.1007/BF01036672}
Linking options:
https://www.mathnet.ru/eng/tmf2953
https://www.mathnet.ru/eng/tmf/v31/i2/p214
This publication is cited in the following 4 articles:
Olkhovsky V.S., “On the analytic properties of the S-matrix for the unknown interactions surrounded by centrifugal and rapidly decreasing potentials”, Central European Journal of Physics, 9:1 (2011), 13–44
ERASMO RECAMI, VLADISLAV S. OLKHOVSKY, SERGEI P. MAYDANYUK, “ON NON-SELF-ADJOINT OPERATORS FOR OBSERVABLES IN QUANTUM MECHANICS AND QUANTUM FIELD THEORY”, Int. J. Mod. Phys. A, 25:09 (2010), 1785
V. S. Olkhovsky, S. P. Maydanyuk, E. Recami, “Non-self-adjoint operators as observables in quantum theory and nuclear physics”, Phys. Part. Nuclei, 41:4 (2010), 508
M. Baldo, V. S. Ol'khovskii, “Analytic properties of the $S$-matrix for interactions with Yukawa-potential tails”, Theoret. and Math. Phys., 147:1 (2006), 541–553
Citation in format AMSBIB
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