Coupled N-dimensional harmonic oscillator systems |
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| Authors: | B. L. Burrows M. Cohen |
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| Affiliation: | 1. Mathematics Group, School of Computing, Staffordshire University, Stafford ST18 0DG, UK;2. Department of Physical Chemistry, The Hebrew University, Jerusalem 91904, Israel |
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| Abstract: | A general decoupling procedure is described for systems of N interacting harmonic oscillators coupled by some bilinear perturbing potentials, and explicit conditions are derived which must be fulfilled in order to obtain physical bound states. Illustrative examples include a general treatment of the 2-oscillator system, some particular extensions to systems containing 3 oscillators, and a class of N-oscillator models. |
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