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Communications in Theoretical Physics

Application of Coordinate-Momentum Intermediate Representation in Solving Eigenstate Problem of a Coupled Oscillator System

Pang Qian-Jun

Published Sep 1, 2005• 0 citations
Publisher

Abstract

We study the eigenstate problem of a kind of coupled oscillators in the new quantum mechanical representation | q ,μ,ν⟩, which is defined as the eigenvector of the operator (μ Q + ν P ), where μ and ν are two real parameters. We also use the U operator transformation method to deal with the same problem. We obtain the normally ordered product expressions of U operator and eigenvector. It is shown that the ground state of system Hamiltonian is a squeezed state.

DOI
10.1088/6102/44/3/440

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