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The dynamics of energy transfer of an SU (3) algebraic vibrational system in the coset space representation

✍ Scribed by Guozhen Wu

Publisher: Elsevier Science
Year: 1994
Tongue: English
Weight: 489 KB
Volume: 227
Category: Article
ISSN: 0009-2614
DOI: 10.1016/0009-2614(94)00888-4

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✦ Synopsis

It is demonstrated that an SU( 3) algebraic Hamiltonian for a vibrational system of three coupled anharmonic oscillators can be written down in the coset space representation. The algorithm devised is then employed to study the dynamics of stationary eigenstates and the non-stationary inter-oscillator energy transfer. For the non-stationary case the quantum beat phenomenon is reproduced. The dynamics is non-integrable and chaotic. This demonstrates the complexity of the SU( 3) multi-dimensional dynamics where the global instead of the local properties are crucial.

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