Quantum mechanics of two coupled oscillators
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From the point of view of quantum mechanics, the problem of two coupled oscillators with two different coupling parameters is considered. By using the accurate definition of Dirac operators the wave function in both coherent state and number state (Schrödinger picture) are obtained. The Green's function and the expectation value of the energy are calculated; the transition amplitude between the coherent states when the coupling parameters are different and equal, as well as the eigenstates, are given. The constants of the motion for such a system have been also considered.
PACS 03.65.GeSolutions of wave equations: bound states
PACS 42.50Quantum optics
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