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This presentation is based on the joint work with A. Parmeggiani which has recently been published in Malagutti and Parmeggiani (Bull. Sci. Math. 193:Paper No. 103423, 21 pp., 2024. https://doi.org/10.1016/j.bulsci.2024.103423 ). We state a quasi-clustering result for a subclass of the class of Semiregular Metric Globally Elliptic Systems (SMGES) including quantum optics models such as the Jaynes-Cummings model and its generalizations which describe light-matter interaction. In fact, we show the eigenvalues of this kind of systems can be located in the union of intervals having centers determined by the matrix invariants of the semiprincipal and subprincipal symbol and width decreasing as the centers go to \(+\infty \) .

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Quasi-Clustering for the Spectrum of Semiregular Systems

  • 会议论文

  • 发表日期：

    2025年

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  • Marcello Malagutti

摘要

This presentation is based on the joint work with A. Parmeggiani which has recently been published in Malagutti and Parmeggiani (Bull. Sci. Math. 193:Paper No. 103423, 21 pp., 2024. https://doi.org/10.1016/j.bulsci.2024.103423 ). We state a quasi-clustering result for a subclass of the class of Semiregular Metric Globally Elliptic Systems (SMGES) including quantum optics models such as the Jaynes-Cummings model and its generalizations which describe light-matter interaction. In fact, we show the eigenvalues of this kind of systems can be located in the union of intervals having centers determined by the matrix invariants of the semiprincipal and subprincipal symbol and width decreasing as the centers go to \(+\infty \) .