Modified Landau levels, damped harmonic oscillator, and two-dimensional pseudo-bosons

DOI10.1063/1.3514196zbMath1314.81176arXiv1010.4221OpenAlexW2031623891MaRDI QIDQ5255506

Fabio Bagarello, Syed Twareque Ali, Jean-Pierre Gazeau

Publication date: 15 June 2015

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

Full work available at URL: https://arxiv.org/abs/1010.4221

Mathematics Subject Classification ID

Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Many-body theory; quantum Hall effect (81V70)

Related Items (12)

Tridiagonality, supersymmetry and non self-adjoint Hamiltonians ⋮ Dissipation evidence for the quantum damped harmonic oscillator via pseudo-bosons ⋮ \(D\) pseudo-bosons in quantum models ⋮ Pseudo-bosons, so far ⋮ Damping and pseudo-fermions ⋮ A no-go result for the quantum damped harmonic oscillator ⋮ More mathematics for pseudo-bosons ⋮ Extended pseudo-fermions from non commutative bosons ⋮ Two-parameters pseudo-bosons ⋮ A note on the Pais-Uhlenbeck model and its coherent states ⋮ Nonlinear pseudo-bosons ⋮ Pseudo-bosons arising from standard ladder operators

Cites Work

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• Examples of pseudo-bosons in quantum mechanics
• Intertwined Hamiltonians in two-dimensional curved spaces
• Coherent states, wavelets and their generalizations
• Supersymmetric associated vector coherent states and generalized Landau levels arising from two-dimensional supersymmetry
• Modular structures on trace class operators and applications to Landau levels
• Mathematical aspects of intertwining operators: the role of Riesz bases
• Intertwining operators between different Hilbert spaces: Connection with frames
• A canonical approach to the quantization of the damped harmonic oscillator
• Pseudobosons, Riesz bases, and coherent states
• An introduction to frames and Riesz bases

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