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- W2002804025 abstract "We study the Hamiltonian dynamics and spectral theory of spin-oscillators. Because of their rich structure, spin-oscillators display fairly general properties of integrable systems with two degrees of freedom. Spin-oscillators have infinitely many transversally elliptic singularities, exactly one elliptic-elliptic singularity and one focus-focus singularity. The most interesting dynamical features of integrable systems, and in particular of spin-oscillators, are encoded in their singularities. In the first part of the paper we study the symplectic dynamics around the focus-focus singularity. In the second part of the paper we quantize the coupled spin-oscillators systems and study their spectral theory. The paper combines techniques from semiclassical analysis with differential geometric methods." @default.
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- W2002804025 date "2011-11-30" @default.
- W2002804025 modified "2023-10-11" @default.
- W2002804025 title "Hamiltonian Dynamics and Spectral Theory for Spin–Oscillators" @default.
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- W2002804025 doi "https://doi.org/10.1007/s00220-011-1360-4" @default.
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