Classical and quantum Kummer shape algebras

DOI10.1088/1751-8113/49/26/265202zbMath1353.81077arXiv1512.09279OpenAlexW2214867977MaRDI QIDQ3186280

E. Wawreniuk, Anatol Odzijewicz

Publication date: 9 August 2016

Published in: Journal of Physics A: Mathematical and Theoretical (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1512.09279

zbMATH Keywords

integrable systemsreproducing kernelscoherent statesharmonic oscillatorstar product

Mathematics Subject Classification ID

Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Groups and algebras in quantum theory and relations with integrable systems (81R12) Coherent states (81R30) Geometry and quantization, symplectic methods (81S10) Deformation quantization, star products (53D55) Molecular physics (81V55)

Related Items (6)

Perturbed \((2n - 1)\)-dimensional Kepler problem and the nilpotent adjoint orbits of \(\operatorname{U}(n, n)\) ⋮ An integrable (classical and quantum) four-wave mixing Hamiltonian system ⋮ Integrability and correspondence of classical and quantum non-linear three-mode systems ⋮ Coherent State Maps for Kummer Shapes ⋮ Some aspects of positive kernel method of quantization ⋮ A family of integrable perturbed Kepler systems

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