KOSCHANY, A and KUFFER, J and OBERMAIR, GM (1992) CHAOS IN WAVE MECHANICS WITH A LOGARITHMIC NONLINEARITY. PHYSICS LETTERS A, 167 (2). pp. 109-113. ISSN 0375-9601,
Full text not available from this repository.Abstract
In order to extract chaotic features from the nonlinear extension of wave mechanics proposed by Bialynicki-Birula and Mycielski [Ann. Phys. 100 (1976) 621 we examine - within an ad hoc model involving the one-band tight binding Hamiltonian - the time evolution of a periodic wave function of period s in a periodic potential of period 2-pi/alpha. For alpha=2-pi-r/s the quantum dynamics reduces to a finite number of dimensions and can be expressed in terms of a classical Hamilton system with 2s-dimensional phase space. Standard methods of investigation show that the nonlinearity may produce ergodicity and positive Lyapunov exponents.
| Item Type: | Article |
|---|---|
| Uncontrolled Keywords: | QUANTUM; |
| Depositing User: | Dr. Gernot Deinzer |
| Last Modified: | 19 Oct 2022 08:44 |
| URI: | https://pred.uni-regensburg.de/id/eprint/54462 |
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