Nakamura, K. ; Lakshmanan, M. (1986) Complete integrability in a quantum description of chaotic systems Physical Review Letters, 57 (14). pp. 1661-1664. ISSN 0031-9007
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Official URL: http://link.aps.org/doi/10.1103/PhysRevLett.57.166...
Related URL: http://dx.doi.org/10.1103/PhysRevLett.57.1661
Abstract
For quantum bound systems whose classical versions are nonintegrable, coupled dynamical equations for both energy levels and eigenfunctions with a nonintegrability parameter t taken as "time" are shown to be a completely integrable Calogero-Moser system in 1 + 1 dimensions with internal complex vector space. Lax forms and their complete algebraic solutions are given which, in place of statistical mechanics procedures, determine possible energy spectrum and wave-function patterns at an arbitrary value of t.
Item Type: | Article |
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Source: | Copyright of this article belongs to American Physical Society. |
ID Code: | 19346 |
Deposited On: | 22 Nov 2010 12:45 |
Last Modified: | 08 Jun 2011 07:27 |
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