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.

Received: 20.07.1977

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

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