Normal modes. The true story
Quantum Physics
2016-01-20 v1
Abstract
The aim of this article is a comprehensive description of normal modes of molecular vibrations. The starting point is chosen to be a general molecular system with separated center of mass and an arbitrary embedding of body-fixed axes. This allows to focus on internal degrees of freedom only, leaving the problem of rotational motion behind. Nevertheless, for the sake of completeness we first introduce a general quantum-mechanical Hamiltonian in Eckart-Watson representation, to make a quick leap into a simplified harmonic description for internal motion and rigid rotor for rotational degrees of freedom. This regime constitutes a basis for more sophisticated calculations.
Cite
@article{arxiv.1601.04735,
title = {Normal modes. The true story},
author = {Emil Zak},
journal= {arXiv preprint arXiv:1601.04735},
year = {2016}
}