Nonlinear pseudo-bosons

DOI10.1063/1.3603839zbMath1317.81284arXiv1106.0110OpenAlexW2015840542MaRDI QIDQ5266065

Fabio Bagarello

Publication date: 29 July 2015

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

Full work available at URL: https://arxiv.org/abs/1106.0110

zbMATH Keywords

number-like operators

Mathematics Subject Classification ID

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 (8)

Damping and pseudo-fermions ⋮ Generalized Heisenberg algebra and (non linear) pseudo-bosons ⋮ More mathematics for pseudo-bosons ⋮ Quantizations from reproducing kernel spaces ⋮ Pseudo-bosons for the \(D_2\) type quantum Calogero model ⋮ Appearances of pseudo-bosons from Black-Scholes equation ⋮ Intertwining operators for non-self-adjoint Hamiltonians and bicoherent states ⋮ Weak commutation relations of unbounded operators: Nonlinear extensions

Cites Work

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• Examples of pseudo-bosons in quantum mechanics
• Pseudo-bosons, so far
• Quons, coherent states and intertwining operators
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• Vector coherent states from Plancherel's theorem, Clifford algebras and matrix domains
• New nonlinear coherent states associated with inverse bosonic andf-deformed ladder operators
• Mathematical aspects of intertwining operators: the role of Riesz bases
• Pseudobosons, Riesz bases, and coherent states
• Modified Landau levels, damped harmonic oscillator, and two-dimensional pseudo-bosons

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