Generalized Heisenberg algebra and (non linear) pseudo-bosons
arXiv:1802.03369 · doi:10.1088/1751-8121/aaad6d
Abstract
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.
arXiv commentAccepted in Journal of Physics A
References in corpus (15)
- Real Spectra in Non-Hermitian Hamiltonians Having PT Symmetry
- Temporally stable coherent states for infinite well and Pöschl-Teller potentials
- Two families of superintegrable and isospectral potentials in two dimensions
- Intertwined isospectral potentials in an arbitrary dimension
- Multi Parametric Deformed Heisenberg Algebras: A Route to Complexity
- Intertwined Hamiltonians in Two Dimensional Curved Spaces
- Intertwining Operator Realization of Non-Relativistic Holography
- Thermodynamic Properties of a Solid Exhibiting the Energy Spectrum given by the Logistic Map
- Quons, coherent states and intertwining operators
- Position Dependent Mass Schroedinger Equation and Isospectral Potentials : Intertwining Operator approach
- Deformed quons and bi-coherent states
- New SUSYQM coherent states for Poschl-Teller potentials: a detailed mathematical analysis
- Non linear pseudo-bosons
- Intertwining operators for non self-adjoint Hamiltonians and bicoherent states
- Symmetry and Intertwining Operators for the Nonlocal Gross-Pitaevskii Equation
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- Finite-dimensional pseudo-bosons: a non-Hermitian version of the truncated harmonic oscillator
- Abstract ladder operators and their applications
- Quantum Phase Sensitivity with Generalized Coherent States Based on Deformed su(1,1) and Heisenberg Algebras
- Generalized Uncertainty Principle: from the harmonic oscillator to a QFT toy model
- Robustness of deformed catlike states under dissipative decoherence