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6533b830fe1ef96bd1297311

RESEARCH PRODUCT

Generalized Heisenberg algebra and (non linear) pseudo-bosons

Jean-pierre GazeauE. M. F. CuradoFabio Bagarello

subject

Statistics and ProbabilityPhysical systemGeneral Physics and AstronomyFOS: Physical sciences01 natural sciencesbiorthogonal bases in quantum mechanicPhysics and Astronomy (all)0103 physical sciencesMathematical PhysicAlgebra over a field010306 general physicsSettore MAT/07 - Fisica MatematicaMathematical PhysicsComputingMilieux_MISCELLANEOUSMathematicsBoson[PHYS]Physics [physics]Quantum Physics010308 nuclear & particles physicsStatistical and Nonlinear PhysicsMathematical Physics (math-ph)pseudo-bosonAlgebraNonlinear systemModeling and Simulationgeneralized Heisenberg algebraQuantum Physics (quant-ph)[PHYS.ASTR]Physics [physics]/Astrophysics [astro-ph]Statistical and Nonlinear Physic

description

We propose a deformed version of the generalized Heisenberg algebra by using techniques borrowed from the theory of pseudo-bosons. In particular, this analysis is relevant when non self-adjoint Hamiltonians are needed to describe a given physical system. We also discuss relations with nonlinear pseudo-bosons. Several examples are discussed.

yearjournalcountryeditionlanguage
2018-04-13
10.1088/1751-8121/aaad6dhttps://hal.archives-ouvertes.fr/hal-02297333
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