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Quantization process for the driven well—WhereP fails to commute withP 2

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Abstract

We consider the quantum mechanical behavior of a driven particle in an infinite ID potential well. We show that the quantum dynamics of the system is induced by the delicate nontrivial properties of the momentum operator in this case, namely, its non-self-adjointness. Using this, we calculate the first order contribution to the cross section and the energy gain, and discuss their classical limit.

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Authors and Affiliations

  1. Department of Physics, Bar-Ilan University, 52900, Ramat-Gan, Israel

    E. Eisenberg & R. Avigur

  2. Department of Physics, Harvard University, 02138, Cambridge, Massachusetts

    N. Shnerb

Authors
  1. E. Eisenberg
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  2. R. Avigur
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  3. N. Shnerb
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Eisenberg, E., Avigur, R. & Shnerb, N. Quantization process for the driven well—WhereP fails to commute withP 2 . Found Phys 27, 135–151 (1997). https://doi.org/10.1007/BF02550446

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  • DOI: https://doi.org/10.1007/BF02550446

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