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On kicked quantum systems

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Abstract

The time evolution of a multi-dimensional quantum system which is kicked at random or periodically with a potential is obtained. An interesting aspect of the evolution is that if the operator corresponding to the potential has invariant subspaces (this is characteristic of multi-dimensional problems), the system evolves in these invariant subspaces, i.e., each evolution in the subspaces is independent and there cannot be any mixing between the states of these subspaces.

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  1. Tata Institute of Fundamental Research, Homi Bhabha Road, Colaba, 400 005, Bombay, India

    N. D. Sen Gupta

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  1. N. D. Sen Gupta
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Sen Gupta, N.D. On kicked quantum systems. Lett Math Phys 38, 275–282 (1996). https://doi.org/10.1007/BF00398351

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  • DOI: https://doi.org/10.1007/BF00398351

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