Coupled N-dimensional harmonic oscillator systems

B. L. Burrows; M. Cohen

doi:10.1080/00268970050080447

Coupled N-dimensional harmonic oscillator systems

B. L. Burrows^*
, M. Cohen

^*Corresponding author for this work

Institute of Chemistry

Research output: Contribution to journal › Article › peer-review

3 Scopus citations

Abstract

A general decoupling procedure is described for systems of N interacting harmonic oscillators coupled by some bilinear perturbing potentials, and explicit conditions are derived which must be fulfilled in order to obtain physical bound states. Illustrative examples include a general treatment of the 2-oscillator system, some particular extensions to systems containing 3 oscillators, and a class of N-oscillator models.

Original language	English
Pages (from-to)	1083-1088
Number of pages	6
Journal	Molecular Physics
Volume	98
Issue number	16
DOIs	https://doi.org/10.1080/00268970050080447
State	Published - 20 Aug 2000

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AB - A general decoupling procedure is described for systems of N interacting harmonic oscillators coupled by some bilinear perturbing potentials, and explicit conditions are derived which must be fulfilled in order to obtain physical bound states. Illustrative examples include a general treatment of the 2-oscillator system, some particular extensions to systems containing 3 oscillators, and a class of N-oscillator models.

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Coupled N-dimensional harmonic oscillator systems

Abstract

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