Canonical and nonlinear vector coherent states of generalized models with spin-orbit interaction
DOI10.1063/1.2779953zbMath1152.81332OpenAlexW2083594302MaRDI QIDQ3544444
Mahouton Norbert Hounkonnou, Joseph Ben Geloun
Publication date: 8 December 2008
Published in: Journal of Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1063/1.2779953
Quantum groups and related algebraic methods applied to problems in quantum theory (81R50) Quantum optics (81V80) Statistical mechanics of solids (82D20) Groups and algebras in quantum theory and relations with integrable systems (81R12) Coherent states (81R30) Connections of basic hypergeometric functions with quantum groups, Chevalley groups, (p)-adic groups, Hecke algebras, and related topics (33D80)
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Cites Work
- Unnamed Item
- Unnamed Item
- On \((p,q,\alpha,\beta, l\))-deformed oscillator and its generalized quantum Heisenberg-Weyl algebra
- \(p,q\)-Stirling numbers and set partition statistics
- A \(q\)-analogue of \(U(\mathfrak{gl}(N+1))\), Hecke algebra, and the Yang-Baxter equation
- The classical moment problem as a self-adjoint finite difference operator
- Covariant \((hh')\)-deformed bosonic and fermionic algebras as contraction limits of \(q\)-deformed ones
- Maths-type \(q\)-deformed coherent states for \(q>1\)
- Nonclassical statistical properties of finite-coherent states in the framework of the Jaynes-Cummings model
- LANDAU LEVELS AND QUANTUM GROUP
- Temporally stable coherent states for infinite well and Pöschl–Teller potentials
- Supercoherent states
- Vector coherent states from Plancherel's theorem, Clifford algebras and matrix domains
- Ladder operators and coherent states for the Jaynes-Cummings model in the rotating-wave approximation
- ( p , q ) deformations and (p,q)-vector coherent states of the Jaynes-Cummings model in the rotating wave approximation
- The quantum group SUq(2) and a q-analogue of the boson operators
- A (p, q)-oscillator realization of two-parameter quantum algebras
- Bose realization of a non-canonical Heisenberg algebra
- Normal ordering for deformed boson operators and operator-valued deformed Stirling numbers
- A two-parameter deformation of the Jaynes-Cummings model: path integral representation
- Coherent states for systems with discrete and continuous spectrum
- A note on (p, q)-oscillators and bibasic hypergeometric functions
- Ordering relations for q-boson operators, continued fraction techniques and the q-CBH enigma
- A Method for q-Calculus
- New photon-added and photon-depleted coherent states associated with inverseq-boson operators: nonclassical properties
- General sets of coherent states and the Jaynes$ndash$Cummings model
- Newq-deformed coherent states with an explicitly known resolution of unity
- Quantum algebra as the dynamical symmetry of the deformed Jaynes-Cummings model
- New generalized coherent states
- P,Q-differentiation, P,Q-integration, and P,Q-hypergeometric functions related to quantum groups
- More on the q-oscillator algebra and q-orthogonal polynomials
- Hilbert spaces of analytic functions and generalized coherent states
- Maximal localization in the presence of minimal uncertainties in positions and in momenta
- On theq-deformed coherent states of a generalizedf-oscillator
- SPIN HALL EFFECT
- A GENERALIZED JAYNES–CUMMINGS MODEL: NONLINEAR DYNAMICAL SUPERALGEBRA u(1/1) AND SUPERCOHERENT STATES
- GENERALIZED BASIC HYPERGEOMETRIC SERIES WITH UNCONNECTED BASES (II)
- Generalized coherent states for associated hypergeometric-type functions
- Interactions and non-commutativity in quantum Hall systems
- New formulation of nonlinear vector coherent states off-deformed spin–orbit Hamiltonians
- Spin-Orbit Coupling Effects in Zinc Blende Structures
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