Exact solutions of n-coupled harmonic oscillators related to Sp(2n, R) Lie algebra
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).
This paper has been withdrawn.