3 years ago

# Generalized elimination of the global translation from explicitly correlated Gaussian functions.

Markus Reiher, Andrea Muolo, Edit Mátyus

This paper presents the multi-channel generalization of the center-of-mass kinetic energy elimination approach [Mol. Phys., 111 2086 (2013)] when the Schr\"odinger equation is solved variationally with explicitly correlated Gaussian functions. The approach has immediate relevance in many-particle systems which are handled without the Born--Oppenheimer approximation and can be employed also for Dirac-type Hamiltonians. The practical realization and numerical properties of solving the Schr\"odinger equation in laboratory-frame Cartesian coordinates are demonstrated for the ground rovibronic state of the H$_2^+=\lbrace\text{p}^+,\text{p}^+,\text{e}^+\rbrace$ ion and the H$_2=\lbrace\text{p}^+,\text{p}^+,\text{e}^+,\text{e}^+\rbrace$ molecule.

Publisher URL: http://arxiv.org/abs/1710.06015

DOI: arXiv:1710.06015v2

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