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Communications in Theoretical Physics

Exact Solutions of Two Coupled Harmonic Oscillators Related to the Sp(4, R ) Lie Algebra

Feng Pan, Dai Lian-Rong

Published Jun 15, 2001• 2 citations
Publisher

Abstract

Exact solutions of the eigenvalue problem of two coupled harmonic oscillators related to the Sp(4, R ) Lie algebra are derived by 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(4, R ) ⊃ U (2).
DOI
10.1088/0253-6102/35/6/661

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