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Quantum mechanics of two coupled oscillators

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Il Nuovo Cimento B (1971-1996)

Summary

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.

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Authors and Affiliations

  1. Department of Mathematics, College of Science, King Saud University, P.O. Box 2455, 11451, Riyadh, Saudi Arabia

    M. Sebawe Abdalla

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  1. M. Sebawe Abdalla
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Abdalla, M.S. Quantum mechanics of two coupled oscillators. Nuovo Cim B 109, 443–457 (1994). https://doi.org/10.1007/BF02728385

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  • DOI: https://doi.org/10.1007/BF02728385

PACS 03.65.Ge

PACS 42.50

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