The Jacobi Group and the Squeezed States—Some Comments
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Publication:5119062
DOI10.1063/1.3275594zbMATH Open1440.81050arXiv0910.5563OpenAlexW3102499692MaRDI QIDQ5119062
Publication date: 2 September 2020
Published in: AIP Conference Proceedings (Search for Journal in Brave)
Abstract: The generalized coherent states attached to the Jacobi group realize the squeezed states. Imposing hermitian conjugacy to the generators of the Jacobi algebra, we find out the form of the weight function appearing in the scalar product. We show effectively the orthonormality of the base functions with respect to the scalar product. From the explicit form of the reproducing kernel, we find out the expression of the multiplier in a holomorphic representation of the Jacobi group.
Full work available at URL: https://arxiv.org/abs/0910.5563
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