Some integrable systems in nonlinear quantum optics

DOI10.1063/1.1530756zbMath1061.81083arXivmath-ph/0207031OpenAlexW2005722981MaRDI QIDQ4832894

Agnieszka Tereszkiewicz, Maciej Horowski, Anatol Odzijewicz

Publication date: 14 December 2004

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

Full work available at URL: https://arxiv.org/abs/math-ph/0207031

Mathematics Subject Classification ID

Quantum optics (81V80) Groups and algebras in quantum theory and relations with integrable systems (81R12) Coherent states (81R30) Applications of hypergeometric functions (33C90)

Related Items (11)

sl ( 2 , R ) symmetry and solvable multiboson systems ⋮ Noncommutative Kähler-like structures in quantization ⋮ On a class of \(C^*\)-algebras generated by a countable family of partial isometries ⋮ Coherent state maps related to the bounded positive operators ⋮ An integrable (classical and quantum) four-wave mixing Hamiltonian system ⋮ Integrability and correspondence of classical and quantum non-linear three-mode systems ⋮ One class of \(C^*\)-algebras generated by a family of partial isometries and multiplicators ⋮ Factorization method for second order functional equations ⋮ Coherent State Maps for Kummer Shapes ⋮ Some aspects of positive kernel method of quantization ⋮ Coherent state map quantization in a Hermitian-like setting

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