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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

Bibliographic databases:

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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