Inverse spectral theory for semiclassical Jaynes-Cummings systems

DOI10.1007/s00208-015-1259-zzbMath1338.53107arXiv1407.5159OpenAlexW1544765747MaRDI QIDQ261446

Álvaro Pelayo, Yohann Le Floch, San Vũ Ngoc

Publication date: 23 March 2016

Published in: Mathematische Annalen (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1407.5159

zbMATH Keywords

inverse spectral theorysemiclassical Jaynes-Cummings system

Mathematics Subject Classification ID

Symplectic manifolds (general theory) (53D05) Asymptotic distributions of eigenvalues in context of PDEs (35P20) Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35) Semiclassical techniques, including WKB and Maslov methods applied to problems in quantum theory (81Q20) Completely integrable systems and methods of integration for problems in Hamiltonian and Lagrangian mechanics (70H06)

Related Items (13)

Spectral asymptotics of semiclassical unitary operators ⋮ Determinant Expressions of Constraint Polynomials and the Spectrum of the Asymmetric Quantum Rabi Model ⋮ Moduli spaces of semitoric systems ⋮ Faithful semitoric systems ⋮ Symplectic and inverse spectral geometry of integrable systems: a glimpse and open problems ⋮ Packing densities of Delzant and semitoric polygons ⋮ Hamiltonian and symplectic symmetries: An introduction ⋮ Recent advances in the monodromy theory of integrable Hamiltonian systems ⋮ Open problems, questions and challenges in finite- dimensional integrable systems ⋮ A family of compact semitoric systems with two focus-focus singularities ⋮ Quantum footprints of Liouville integrable systems ⋮ Integrable systems, symmetries, and quantization ⋮ Asymptotic lattices, good labellings, and the rotation number for quantum integrable systems

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