The kinetic energy partition method applied to quantum eigenvalue problems with many harmonic-oscillator potentials
Journal
Journal of Mathematical Chemistry
Journal Volume
55
Journal Issue
6
Pages
1322-1341
Date Issued
2017
Author(s)
Abstract
We generalize the recently developed kinetic energy partition (KEP) method for systems with two competing interactions to solve the quantum eigenvalue problems of a particle interacting with a number of harmonic-oscillator potentials. First, the original formulation of the KEP method is extended to the case with many interaction potentials. Second, we apply the method to the two and three harmonic-oscillators problems, respectively. Finally, the general N harmonic-oscillators system is considered and solved. We show that the KEP method can yield the exact solutions very accurately and efficiently.
Type
journal article