The kinetic energy partition method applied to quantum eigenvalue problems with many harmonic-oscillator potentials

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...

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Bibliographic Details
Published in:Journal of mathematical chemistry 2017-06, Vol.55 (6), p.1322-1341
Main Authors: Chen, Yu-Hsin, Chao, Sheng D.
Format: Article
Language:English
Subjects:
Chemistry
Chemistry and Materials Science
Eigenvalues
Kinetic energy
Math. Applications in Chemistry
Original Paper
Oscillators
Partitions (mathematics)
Physical Chemistry
Theoretical and Computational Chemistry
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Summary: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.
ISSN:0259-9791
1572-8897
DOI:10.1007/s10910-017-0745-9