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Quantum instability for a wave packet kicked periodically by a quadratic potential

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Abstract

The quantal behaviour of wave packet periodically kicked by a quadratic potential has been investigated using Floquet theory. The wave function of the particle afterN kicks has been determined. This wave function has been utilized to obtain the packet width, energy and loss of memory as a function of the number of kicks. It has also been shown that the free particle wave packet quasienergy spectrum makes a transition from discrete to absolutely continuous atɛ T=2. The behaviour forɛT>2 is quantum mechanically irregular.

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Authors and Affiliations

  1. Department of Physics, Punjabi University, 147 002, Patiala, India

    A K Sikri & M L Narchal

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  1. A K Sikri
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  2. M L Narchal
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Sikri, A.K., Narchal, M.L. Quantum instability for a wave packet kicked periodically by a quadratic potential. Pramana - J Phys 41, 509–513 (1993). https://doi.org/10.1007/BF02875099

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  • DOI: https://doi.org/10.1007/BF02875099

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