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Semiregular Non-commutative Harmonic Oscillators: Some Spectral Asymptotic Properties

  • Marcello Malagutti,
  • Alberto Parmeggiani

摘要

The study is devoted to spectral analysis of systems of PDEs, namely, a class of systems containing certain quantum optics models such as the Jaynes-Cummings model. More in detail, the research deals with spectral Weyl asymptotics for a semiregular system, extending to the vector-valued case results of Helffer and Robert, and more recently of Doll, Gannot and Wunsch.