A new approach to the quantum mechanical fundamentals of molecular physics is presented. We start by introducing the interaction representation for molecular systems in which the interaction between molecular fermions and bosons leads to the time evolution of molecular harmonic oscillators. Such a linear harmonic oscillator determines the metric tensor in the twohyphen;dimensional Riemann space and its time evolution occurs on a selfhyphen;time curve which is a geodetic in the Riemann space. The molecular bosons in this selfhyphen;time representation have the energy dispersion and the superfluid properties. The molecular spectra in the selfhyphen;time representation acquire the line shape which results from nonlinearity of the geodetic and are related to dephasing between the nuclear and electronic motions. Dephasing between the nuclear and electronic motions leads to the retarded electrodynamic interactions in the form of the Lieacute;nardndash;Wiechert potentials. In the limit of the Bornndash;Oppenheimer approximation, the electrodynamic interactions reduce to the purely electrostatic ones and the molecular line shape function to the Dirac dgr; function.
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