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TMF, 1985, Volume 65, Number 1, Pages 35–43 (Mi tmf5052)  

Classical limit of the quantum inverse scattering problem

I. V. Bogdanov


Abstract: The passage to the limit of classical mechanics is realized in the formalism of Marchenko's method for a spherically symmetric inverse problem of quantum scattering for fixed angular momentum. The limit is considered for the general case of partial waves with arbitrary values of the orbital number $l>0$ in the lowest order of perturbation theory. It is shown how in the limit $l>0$ in the quantum inverse problem the integral Abel transformation characteristic of classical inverse problems arises. The classical inversion formula with delay time is derived from the Marchenko equation.

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English version:
Theoretical and Mathematical Physics, 1985, 65:1, 992–998

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Received: 14.10.1983

Citation: I. V. Bogdanov, “Classical limit of the quantum inverse scattering problem”, TMF, 65:1 (1985), 35–43; Theoret. and Math. Phys., 65:1 (1985), 992–998

Citation in format AMSBIB
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\by I.~V.~Bogdanov
\paper Classical limit of the quantum inverse scattering problem
\jour TMF
\yr 1985
\vol 65
\issue 1
\pages 35--43
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\mathscinet{http://www.ams.org/mathscinet-getitem?mr=822211}
\zmath{https://zbmath.org/?q=an:0596.35103}
\transl
\jour Theoret. and Math. Phys.
\yr 1985
\vol 65
\issue 1
\pages 992--998
\crossref{https://doi.org/10.1007/BF01028632}
\isi{http://gateway.isiknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&DestLinkType=FullRecord&DestApp=ALL_WOS&KeyUT=A1985C731200004}


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  • Теоретическая и математическая физика Theoretical and Mathematical Physics
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