Abstract
Based on a two quantum dynaminal invariants of motion, I, related with the Uncertaity Principle and E r , adimensional and associated to the energy of the system, we study the classical-quantum transit of a semiclassical hamiltonian whose purely classical counterpart exhibits chaotic motion. The transit (no assumption concerning sizes or masses are done) between quantum nonchaotic to the classical chaotic regime is shown. Particularly, through E r we define the threshold above which quantum chaos appears, and the interval during which both regimes co-exist.
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© 2004 Kluwer Academic Publishers
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Kowalski, A.M., Proto, A.N. (2004). Chaotic motion and the classical-quantum border. In: Descalzi, O., Martínez, J., Tirapegui, E. (eds) Instabilities and Nonequilibrium Structures VII & VIII. Nonlinear Phenomena and Complex Systems, vol 8. Springer, Dordrecht. https://doi.org/10.1007/978-1-4020-2149-7_15
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DOI: https://doi.org/10.1007/978-1-4020-2149-7_15
Publisher Name: Springer, Dordrecht
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