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Keywords = supercoherent states

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11 pages, 3236 KiB  
Article
Supersymmetric Displaced Number States
by Fredy R. Zypman
Symmetry 2015, 7(2), 1017-1027; https://doi.org/10.3390/sym7021017 - 5 Jun 2015
Cited by 5 | Viewed by 4930
Abstract
We introduce, generate and study a family of supersymmetric displaced number states (SDNS) that can be considered generalized coherent states of the supersymmetric harmonic oscillator. The family is created from the seminal supersymmetric boson-fermion entangling annihilation operator introduced by Aragone and Zypman and [...] Read more.
We introduce, generate and study a family of supersymmetric displaced number states (SDNS) that can be considered generalized coherent states of the supersymmetric harmonic oscillator. The family is created from the seminal supersymmetric boson-fermion entangling annihilation operator introduced by Aragone and Zypman and later expanded by Kornbluth and Zypman. Using the momentum representation, the states are obtained analytically in compact form as displaced supersymmetric number states. We study their position-momentum uncertainties, and their bunchiness by classifying them according to their Mandel Q-parameter in phase space. We were also able to find closed form analytical representations in the space and number basis. Full article
(This article belongs to the Special Issue Supersymmetry 2014)
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