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Coherent States for the Asymmetric Penning Trap

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Abstract

After identifying the appropriate ladder operators, the coherent states for the asymmetric Penning trap are derived as common eigenstates of the annihilation operators. They will be compared with the ones obtained by acting the displacement operator onto the extremal state, as well as with those which minimize some Heisenberg uncertainty relationships. The time evolution and relevant mean values for some operators in these states will be evaluated.

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Authors and Affiliations

  1. Departamento de Física, Cinvestav, AP 14-740, 07000, México D.F., Mexico

    Alonso Contreras-Astorga & David J. Fernández C.

Authors
  1. Alonso Contreras-Astorga
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  2. David J. Fernández C.
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Correspondence to Alonso Contreras-Astorga.

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Contreras-Astorga, A., Fernández C., D.J. Coherent States for the Asymmetric Penning Trap. Int J Theor Phys 50, 2084–2093 (2011). https://doi.org/10.1007/s10773-010-0580-2

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  • DOI: https://doi.org/10.1007/s10773-010-0580-2

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