Exact solutions of n-coupled harmonic oscillators related to Sp(2n, R) Lie algebra

Document Type

Article

Publication Date

3-30-2001

Abstract

Exact solutions of n-coupled harmonic oscillators related to the Sp(2n, R) Lie algebra are derived using an algebraic method. It is found that the energy spectrum of the system is determined by one-boson excitation energies built on a vector coherent state of Sp(2n, R) ⊃ U (n).

Publication Source (Journal or Book title)

Journal of Physics A Mathematical and General

First Page

2637

Last Page

2642

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