Integrability and non-integrability in quantum mechanics |
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Authors: | MAREK KUŚ |
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Affiliation: | 1. Center for Theoretical Physics, Polish Academy of Sciences, al. Lotników 32/46, 02-668 Warszawa, Poland;2. e-mail: marek@cft.edu.pl |
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Abstract: | The concepts of integrability, non-integrability and chaos in quantum mechanics are examined, and it is indicated that they all are sensibly definable only in connection with the corresponding properties of their classical analogues. The concrete examples concern the quantum and classical properties of dynamic systems on SU3 algebra and classically integrable but quantum nonintegrable system with two degrees of freedom. |
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