Supersymmetry of a multi-boson Hamiltonian through the Higgs algebra

DOI10.1088/0305-4470/31/17/011zbMath0916.17027OpenAlexW1986537645MaRDI QIDQ4391396

Nathalie Debergh

Publication date: 21 July 1999

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

Full work available at URL: https://doi.org/10.1088/0305-4470/31/17/011

zbMATH Keywords

nonlinear Hamiltoniansupersymmetryquantum opticsdeformed algebraHiggs algebracubic algebra of symmetriesmultiphoton processes of scatteringtwo-dimensional harmonic oscillator in curved space

Mathematics Subject Classification ID

Quantum groups and related algebraic methods applied to problems in quantum theory (81R50) Applications of Lie (super)algebras to physics, etc. (17B81) Quantum optics (81V80) Supersymmetry and quantum mechanics (81Q60)

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A polynomial class of u(2) algebras ⋮ Application of polynomial su(1, 1) algebra to Pöschl-Teller potentials ⋮ Two-photon entanglement in a two-mode supersymmetric model ⋮ Polynomial Lie algebra methods in solving the second-harmonic generation model: some exact and approximate calculations ⋮ Aspects of coherent states of nonlinear algebras ⋮ A new boson realization of fusion polynomial algebras in non-Hermitian quantum mechanics: γ-deformed su(2) generators, PT -symmetry in Fock space and Higgs algebra

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