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Symmetry, Vol. 7, Pages 1017-1027: Supersymmetric Displaced Number States (2015)

Fredy Zypman

MDPI Publishing

In: Symmetry

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Publication Date: 2015-08-05

Description: 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.

Electronic ISSN: 2073-8994

Topics: Mathematics , Physics

Published by MDPI Publishing

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