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Communications in Theoretical Physics

Application of Tripartite Entangled State Representation in Solving the Dynamics of a Kind of Three Coupled Oscillators

Pang Qian-Jun

Published Jun 1, 2005• 1 citation
Publisher

Abstract

We study the eigenstate problem of a kind of three coupled oscillators in a new quantum mechanical representation composed by the spontaneous eigenvectors ⟨ p , q 2 , q 3 | for three operators ( p 1 + p 2 + p 3 ), ( x 3 − x 2 ), and ( x 3 − x 1 ). The eigenvalues and eigenvectors of the Hamiltonian are obtained. With the same method, the eigenstate problem of a generalized three-coupled oscillator Hamiltonian is studied, which has never been studied before.

DOI
10.1088/0253-6102/43/6/016

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We study the eigenstate problem of a kind of three coupled oscillators in a new quantum mechanical representation composed by the spontaneous eigenvectors ⟨ p , q 2 , q 3 | for three operators ( p 1 + p 2 + p 3 ), ( x 3 − x 2 ), and ( x 3 − x 1 ). The eigenvalues and eigenvectors of the Hamiltonian are obtained. With the same method, the eigenstate problem of a generalized three-coupled oscillator Hamiltonian is studied, which has never been studied before.
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