Abstract:
A study is made of nonadiabatic transitions when there is simultaneous pseudocrossing
of a group of molecular terms. The motion of the nuclei is taken to be classical. The problem is solved by means of asymptotic methods in which the relative velocity of the atoms is a small parameter. The system of Born-Fock equations describing the interaction of the terms reduces in the neighborhood of the point of crossing of the terms to a system of master differential equations, whose solutions can be expressed in terms of Meijer G-functions. This can be done under fairly general assumptions about the behavior of the electron Hamiltonian in the neighborhood of the point of crossing of the terms. As an example, the amplitude for the transition probability between the outside terms when there is pseudocrossing of three terms is given.
Citation:
E. A. Solov'ev, “Nonadiabatic transitions when there is pseudocrossing of a group of terms”, TMF, 28:1 (1976), 115–122; Theoret. and Math. Phys., 28:1 (1976), 669–673
\Bibitem{Sol76}
\by E.~A.~Solov'ev
\paper Nonadiabatic transitions when there is pseudocrossing of a~group of terms
\jour TMF
\yr 1976
\vol 28
\issue 1
\pages 115--122
\mathnet{http://mi.mathnet.ru/tmf3357}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=462377}
\transl
\jour Theoret. and Math. Phys.
\yr 1976
\vol 28
\issue 1
\pages 669--673
\crossref{https://doi.org/10.1007/BF01028919}
Linking options:
https://www.mathnet.ru/eng/tmf3357
https://www.mathnet.ru/eng/tmf/v28/i1/p115
This publication is cited in the following 5 articles:
Denys I. Bondar, Wing-Ki Liu, Gennady L. Yudin, “Adaptation of the modified adiabatic approximation to strong-field ionization”, Phys. Rev. A, 79:6 (2009)
A Joye, “Non-trivial prefactors in adiabatic transition probabilities induced by high-order complex degeneracies”, J. Phys. A: Math. Gen., 26:22 (1993), 6517
T. P. Grozdanov, E. A. Solov'ev, “Charge exchange, excitation, and ionization via hidden avoided crossings”, Phys. Rev. A, 42:5 (1990), 2703
Evgenii E. Nikitin, Stanislav Ya. Umanskii, Springer Series in Chemical Physics, 30, Theory of Slow Atomic Collisions, 1984, 202
E. A. Solov'ev, “Adiabatic approximation for transitions between states with l=2 in the unified atom limit”, Theoret. and Math. Phys., 32:3 (1977), 803–807
Citation in format AMSBIB
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