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Multiphoton supercoherent states

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Abstract.

In this paper we are going to build the multiphoton supercoherent states for the supersymmetric harmonic oscillator as eigenstates of the m -th power of a special form (but still with a free parameter) of the Kornbluth-Zipman supersymmetric annihilation operator. They become expressed in terms of the multiphoton coherent states for the standard harmonic oscillator. The Heisenberg uncertainty relation and some statistical properties for these states will be studied. Since the multiphoton supercoherent states turn out to be periodic, then the associated geometric phases will be as well evaluated.

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  1. Physics Department, Cinvestav, P.O. Box 14-740, 07000, Mexico City, Mexico

    Erik Díaz-Bautista & David J. Fernández C.

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  1. Erik Díaz-Bautista
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  2. David J. Fernández C.
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Correspondence to Erik Díaz-Bautista.

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Díaz-Bautista, E., Fernández C., D.J. Multiphoton supercoherent states. Eur. Phys. J. Plus 134, 61 (2019). https://doi.org/10.1140/epjp/i2019-12423-7

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