Abstract
A generalized coupling scheme for nonradiative multiphonon transitions is presented, which comprises both the static and the adiabatic scheme as essential alternatives. The perturbational rate expressions due to both coupling schemes are specialized for a two-level-one-mode system. A nonperturbational rate expression is derived by averaging the corresponding quasiclassical transition probability due to Landau-Zener's theory. The static limit of this quasiclassical theory is shown to give precisely the same result as the quasiclassical limit of the static coupling scheme. At variance to this, the adiabatic limit of the quasiclassical theory yields an adiabatic-gap tunneling factor ∼ exp [−3(T c T)1/3], for a certain parameterT c larger than lattice temperatureT, which was obtainable so far neither from the familiar Condon approximation nor from certain non-Condon approximations of the adiabatic scheme. Causes of this repeated failure of the adiabatic scheme are discussed.
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Dedicated to Professor Miroslav Trlifaj on the occasion of his sixtieth birthday.
Editorial notice: We regret to record the death of Professor Trlifaj on 10. 2. 1982.
In concluding this paper I would like once more to give my sincere thanks to Prof. M. Trlifaj for having introduced me years ago into important problems of the theory of nonradiative transitions and for his support particularly as referee of our first publications on this controversial subject.
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Pässler, R. Nonradiative multiphonon transitions described by static versus adiabatic coupling scheme in comparison with Landau-Zener's theory. Czech J Phys 32, 846–883 (1982). https://doi.org/10.1007/BF01597393
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DOI: https://doi.org/10.1007/BF01597393