The Electronic Non-Adiabatic Coupling Terms: On the Connection between Molecular Physics and Field Theory

M. Baer, Á Vibók, G. J. Halász, D. J. Kouri

Research output: Chapter in Book/Report/Conference proceedingChapter

4 Citations (Scopus)

Abstract

In this chapter we discuss the close relationship between the Born-Oppenheimer treatment of molecular systems and field theory as applied to elementary particles. The theory is based on the Born-Oppenheimer non-adiabatic coupling terms which are known to behave as vector potentials in electromagnetic dynamics. Treating the time-dependent Schrödinger equation for the electrons and the nuclei we show that enforcing diabatization produces for non-Abelian time-dependent systems the 'four-component' Curl equation as obtained by Yang and Mills (Phys. Rev. 95, 631 (1954)).

Original languageEnglish
Title of host publicationAdvances in Quantum Chemistry
Pages103-118
Number of pages16
DOIs
Publication statusPublished - Dec 1 2003

Publication series

NameAdvances in Quantum Chemistry
Volume44
ISSN (Print)0065-3276

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ASJC Scopus subject areas

  • Physical and Theoretical Chemistry

Cite this

Baer, M., Vibók, Á., Halász, G. J., & Kouri, D. J. (2003). The Electronic Non-Adiabatic Coupling Terms: On the Connection between Molecular Physics and Field Theory. In Advances in Quantum Chemistry (pp. 103-118). (Advances in Quantum Chemistry; Vol. 44). https://doi.org/10.1016/S0065-3276(03)44007-0