Journal of Physics A Mathematical and General

Exact solutions ofn-coupled harmonic oscillators related toSp(2n,R) Lie algebra

Feng Pan, Jerry Paul Draayer

Published Mar 19, 2001• 4 citations

Abstract

Exact solutions of n -coupled harmonic oscillators related to the Sp (2 n , 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 (2 n , R )⊃ U ( n ).

DOI: 10.1088/0305-4470/34/12/310

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