Pseudobosons, Riesz bases, and coherent states
From MaRDI portal
Publication:5246583
DOI10.1063/1.3300804zbMath1309.81092arXiv1001.1136OpenAlexW3100768622MaRDI QIDQ5246583
Publication date: 21 April 2015
Published in: Journal of Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1001.1136
Many-body theory; quantum Hall effect (81V70) Finite-dimensional groups and algebras motivated by physics and their representations (81R05) Coherent states (81R30) Commutation relations and statistics as related to quantum mechanics (general) (81S05) Nonselfadjoint operator theory in quantum theory including creation and destruction operators (81Q12)
Related Items (34)
Time evolution for quantum systems with a dynamical Hilbert space ⋮ Finite-dimensional pseudo-bosons: a non-Hermitian version of the truncated harmonic oscillator ⋮ Generalized Bogoliubov transformations versus D-pseudo-bosons ⋮ Dissipation evidence for the quantum damped harmonic oscillator via pseudo-bosons ⋮ A class of weak pseudo-bosons and their bi-coherent states ⋮ \(D\) pseudo-bosons in quantum models ⋮ Examples of pseudo-bosons in quantum mechanics ⋮ Quantization and quantum-like phenomena: a number amplitude approach ⋮ Biorthogonal quantum mechanics for non-Hermitian multimode and multiphoton Jaynes-Cummings models ⋮ Remarks on Infinite-Dimensional Representations of the Heisenberg Algebra ⋮ Pseudo-bosons, so far ⋮ Non-self-adjoint operators with real spectra and extensions of quantum mechanics ⋮ Hamiltonians defined by biorthogonal sets ⋮ Time-dependent pseudo-bosonic coherent states ⋮ Pseudo-fermionic coherent states with time-dependent metric ⋮ Damping and pseudo-fermions ⋮ More mathematics for pseudo-bosons ⋮ \(kq\)-representation for pseudo-bosons, and completeness of bi-coherent states ⋮ Deformed quons and bi-coherent states ⋮ Pseudo-bosons for the \(D_2\) type quantum Calogero model ⋮ Two-parameters pseudo-bosons ⋮ Non-Hermitian Coherent States for Finite-Dimensional Systems ⋮ Regular biorthogonal pairs and pseudo-bosonic operators ⋮ General theory of regular biorthogonal pairs and its physical operators ⋮ Ladder invariants and coherent states for time-dependent non-Hermitian Hamiltonians ⋮ A note on the Pais-Uhlenbeck model and its coherent states ⋮ Semi-regular biorthogonal pairs and generalized Riesz bases ⋮ Construction of pseudobosons systems ⋮ Weak commutation relations of unbounded operators and applications ⋮ Modified Landau levels, damped harmonic oscillator, and two-dimensional pseudo-bosons ⋮ An algebraic approach of non-self-adjoint Hamiltonians in Krein spaces ⋮ Nonlinear pseudo-bosons ⋮ Pseudo-bosons arising from standard ladder operators ⋮ Time-dependent non-Hermitian systems: pseudo-squeezed coherent states
Cites Work
- Unnamed Item
- Unnamed Item
- Extended SUSY quantum mechanics, intertwining operators and coherent states
- Intertwined Hamiltonians in two-dimensional curved spaces
- Representations of coherent states in non-orthogonal bases
- Supersymmetric associated vector coherent states and generalized Landau levels arising from two-dimensional supersymmetry
- Vector coherent states and intertwining operators
- Intertwining operators between different Hilbert spaces: Connection with frames
- Ten Lectures on Wavelets
- Coherent states for systems with discrete and continuous spectrum
- Physical aspects of pseudo-Hermitian andPT-symmetric quantum mechanics
- 𝓟𝓣-symmetric quantum mechanics
- An introduction to frames and Riesz bases
This page was built for publication: Pseudobosons, Riesz bases, and coherent states