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Chained quantum arnold transformations

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Journal of Russian Laser Research Aims and scope

Abstract

We put forward the concatenation of quantum Arnold transformations as a tool to obtain the wave function of a particle subjected to a harmonic potential which is switched on and off successively. This simulates the capture and release process of an ion in a trap and provides a mathematical picture of this physical process.

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Authors and Affiliations

  1. Instituto de Astrofísica de Andalucía, CSIC Apartado, Postal 3004, 18080, Granada, Spain

    Francisco F. López-Ruiz & Victor Aldaya

  2. Departamento de Matemática Aplicada, Universidad de Murcia Campus de Espinardo, 30100, Murcia, Spain

    Julio Guerrero

Authors
  1. Francisco F. López-Ruiz
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  2. Julio Guerrero
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  3. Victor Aldaya
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Corresponding author

Correspondence to Francisco F. López-Ruiz.

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López-Ruiz, F.F., Guerrero, J. & Aldaya, V. Chained quantum arnold transformations. J Russ Laser Res 32, 372–380 (2011). https://doi.org/10.1007/s10946-011-9225-z

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  • DOI: https://doi.org/10.1007/s10946-011-9225-z

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