Pseudo-bosons, so far

DOI10.1016/S0034-4877(12)60004-4zbMath1245.81060arXiv1106.0112MaRDI QIDQ442097

Fabio Bagarello

Publication date: 9 August 2012

Published in: Reports on Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1106.0112

zbMATH Keywords

biorthogonal basesextended CCR (canonical commutation relations)pseudohermitian operators

Mathematics Subject Classification ID

Commutation relations and statistics as related to quantum mechanics (general) (81S05)

Related Items (16)

The EMM and the Spectral Analysis of a Non Self-adjoint Hamiltonian on an Infinite Dimensional Hilbert Space ⋮ \(D\) pseudo-bosons in quantum models ⋮ Biorthogonal quantum mechanics for non-Hermitian multimode and multiphoton Jaynes-Cummings models ⋮ Bi-orthogonal approach to non-Hermitian Hamiltonians with the oscillator spectrum: generalized coherent states for nonlinear algebras ⋮ Remarks on Infinite-Dimensional Representations of the Heisenberg Algebra ⋮ Nonclassicality of quasi-dual of Gazeau-Klauder coherent states of Morse potential: their excited, symmetric and anti-symmetric superpositions ⋮ Damping and pseudo-fermions ⋮ More mathematics for pseudo-bosons ⋮ Extended pseudo-fermions from non commutative bosons ⋮ Non-self-adjoint hamiltonians defined by Riesz bases ⋮ Pseudo-bosons for the \(D_2\) type quantum Calogero model ⋮ Two-parameters pseudo-bosons ⋮ A note on the Pais-Uhlenbeck model and its coherent states ⋮ Nonlinear pseudo-bosons ⋮ Weak commutation relations of unbounded operators: Nonlinear extensions ⋮ Abstract ladder operators and their applications

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Dissipation evidence for the quantum damped harmonic oscillator via pseudo-bosons
• Examples of pseudo-bosons in quantum mechanics
• Two-parameters pseudo-bosons
• Pseudo-bosons from Landau levels
• Intertwined Hamiltonians in two-dimensional curved spaces
• Coherent states, wavelets and their generalizations
• Quantum damped oscillator. I: Dissipation and resonances
• (Regular) pseudo-bosons versus bosons
• Supersymmetric associated vector coherent states and generalized Landau levels arising from two-dimensional supersymmetry
• 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
• Modified Landau levels, damped harmonic oscillator, and two-dimensional pseudo-bosons
• An introduction to frames and Riesz bases

This page was built for publication: Pseudo-bosons, so far