Complete integrability in a quantum description of chaotic systems

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.

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