Generalized Heisenberg algebra and (non linear) pseudo-bosons

DOI10.1088/1751-8121/aaad6dzbMath1388.81112arXiv1802.03369OpenAlexW3099021006MaRDI QIDQ4639625

Fabio Bagarello, Jean-Pierre Gazeau, Evaldo M. F. Curado

Publication date: 9 May 2018

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

Full work available at URL: https://arxiv.org/abs/1802.03369

zbMATH Keywords

pseudo-bosonsgeneralized Heisenberg algebrabiorthogonal bases in quantum mechanics

Mathematics Subject Classification ID

Applications of Lie (super)algebras to physics, etc. (17B81) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Many-body theory; quantum Hall effect (81V70) Commutation relations and statistics as related to quantum mechanics (general) (81S05)

Related Items (7)

Finite-dimensional pseudo-bosons: a non-Hermitian version of the truncated harmonic oscillator ⋮ Quantum generalized Heisenberg algebras and their representations ⋮ Classical ladder functions for Rosen-Morse and curved Kepler-Coulomb systems ⋮ Bipartite entanglement of generalized Barut-Girardello nonlinear coherent states ⋮ Generalized su(1,1) algebra and the construction of nonlinear coherent states for Pöschl-Teller potential ⋮ Structure and isomorphisms of quantum generalized Heisenberg algebras ⋮ Abstract ladder operators and their applications

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