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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

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Received: 20.07.1977

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}


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  • Теоретическая и математическая физика Theoretical and Mathematical Physics
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