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 TMF, 1978, Volume 37, Number 1, Pages 84–101 (Mi tmf3100)

Born method in the problem of entry of a term into the continuum through a sloping boundary

A. K. Kazanskii

Abstract: In the framework of the quantum variant of the Demkov–0sherov model, various cases of the position of a sloping boundary of the continuum and a term of the system are considered. The problem is solved by the Born method, i.e., the principal terms of the asymptotic: behaviors of different characteristics with respect to the parameter $\sqrt{m_e/M}$ ($m_e$ is the electron mass and $M$ is the reduced mass of the atoms) are studied.

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English version:
Theoretical and Mathematical Physics, 1978, 37:1, 892–904

Bibliographic databases:

Citation: A. K. Kazanskii, “Born method in the problem of entry of a term into the continuum through a sloping boundary”, TMF, 37:1 (1978), 84–101; Theoret. and Math. Phys., 37:1 (1978), 892–904

Citation in format AMSBIB
\Bibitem{Kaz78} \by A.~K.~Kazanskii \paper Born method in the problem of entry of a~term into the continuum through a~sloping boundary \jour TMF \yr 1978 \vol 37 \issue 1 \pages 84--101 \mathnet{http://mi.mathnet.ru/tmf3100} \mathscinet{http://www.ams.org/mathscinet-getitem?mr=514139} \transl \jour Theoret. and Math. Phys. \yr 1978 \vol 37 \issue 1 \pages 892--904 \crossref{https://doi.org/10.1007/BF01036290}