Complete vibronic Hamiltonian and ‘‘hidden’’ superconductivity

Akitomo Tachibana

doi:10.1103/PhysRevA.35.18

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Complete vibronic Hamiltonian and ‘‘hidden’’ superconductivity

Akitomo Tachibana

DOI 10.1103/PhysRevA.35.18 · Physical Review A

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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.