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Acta Sinica Quantum Optica

New Complex Function Space Related to Both Entangled State Representation and Spin Coherent State

李兰兰 LI Lan-lan, 张科 Zhang Ke, 余海军 YU Hai-jun, 杜建明 DU Jian-ming, 范洪义 FAN Hong-yi

Published Jan 1, 2020• 0 citations
Publisher
DOI
10.3788/jqo20202601.0102

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A new complex function space whose basis is the single-variable Hermite polynomial H2jξ*+τξ2τ is constructed, which is related to both entangled state representation and spin coherent state in Schwinger bosonic realization. New binomial theorem involving two-variable Hermite polynomial is derived, which helps to constitute the new complex function space. We also present a new integration transformation of the basis H2jξ*+τξ2τ with its reciprocal transformation which is useful to deriving some operator identities.