Abstract

A field theory of non-Born-Oppenheimer vibronic interaction in a molecular system is formulated using a differential geometrical study of quantum molecular dynamics [A. Tachibana and T. Iwai, Phys. Rev. A 33, 2262 (1986)]. In contrast to the conventional approach of many-body formalism, the present approach stresses the finite-system aspects of the theory. The formalism is, of course, general and exact and applies to infinitely large systems. Remarkably, a new vibronically induced interelectron attraction is revealed, which is not brought about by the conventional mechanism of electron-phonon coupling in condensed-matter physics. It is shown that the ``sign'' of the vibronic interaction with respect to the Coulombic repulsion is - and is not + in the conventional electron-phonon coupling model. The physical origin of the newly found interelectron attraction is clarified in terms of the ``instantaneous'' nature of vibronic interaction and the primordial ``spin-flip'' mechanism of non-Born-Oppenheimer electron scattering processes [A. Tachibana, K. Hori, and T. Yamabe, Chem. Phys. Lett. 112, 279 (1984)]. This predicts a ``hidden'' vibronic mechanism of superconductivity.

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