Extended pseudo-fermions from non commutative bosons

DOI10.1063/1.4815935zbMath1284.81177arXiv1309.0676OpenAlexW2061258886MaRDI QIDQ5407620

Fabio Bagarello, Jean-Pierre Gazeau, Syed Twareque Ali

Publication date: 7 April 2014

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

Full work available at URL: https://arxiv.org/abs/1309.0676

Mathematics Subject Classification ID

Noncommutative geometry in quantum theory (81R60) Quantum state spaces, operational and probabilistic concepts (81P16) Miscellaneous applications of functional analysis (46Nxx)

Related Items

Finite-dimensional pseudo-bosons: a non-Hermitian version of the truncated harmonic oscillator ⋮ \(D\) pseudo-bosons in quantum models ⋮ A concise review of pseudobosons, pseudofermions, and their relatives ⋮ Intertwining operators for non-self-adjoint Hamiltonians and bicoherent states

Cites Work

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• Dissipation evidence for the quantum damped harmonic oscillator via pseudo-bosons
• Semiclassical and quantum motions on the non-commutative plane
• Examples of pseudo-bosons in quantum mechanics
• Pseudo-bosons, so far
• Exotic galilean symmetry and non-commutative mechanics
• A note on the Pais-Uhlenbeck model and its coherent states
• The quantum structure of spacetime of the Planck scale and quantum fields
• Weak commutation relations of unbounded operators: Nonlinear extensions
• Nonlinear fermions and coherent states
• Nonlinear pseudo-bosons versus hidden Hermiticity
• Holomorphic Hermite polynomials and a non-commutative plane
• Coherent state quantization of paragrassmann algebras
• Nonlinearn-pseudo fermions
• Modified Landau levels, damped harmonic oscillator, and two-dimensional pseudo-bosons
• Nonlinear pseudo-bosons versus hidden Hermiticity: II. The case of unbounded operators
• Damping and pseudo-fermions
• The symmetry groups of noncommutative quantum mechanics and coherent state quantization
• Noncommutative quantum mechanics—a perspective on structure and spatial extent