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Spectral Asymptotic Properties of Semiregular Non-commutative Harmonic Oscillators

  • Marcello Malagutti,
  • Alberto Parmeggiani

摘要

We study here the 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. The class of systems considered here contains the important example of the Jaynes–Cummings system that describes light-matter interaction.