On the oscillator realization of conformal U(2, 2) quantum particles and their particle-hole coherent states

DOI10.1063/1.4892107zbMath1309.81110arXiv1405.6600OpenAlexW3105661639MaRDI QIDQ3189914

Manuel Calixto, Emilio Pérez-Romero

Publication date: 12 September 2014

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

Full work available at URL: https://arxiv.org/abs/1405.6600

zbMATH Keywords

coherent statesconformal particles

Mathematics Subject Classification ID

Two-dimensional field theories, conformal field theories, etc. in quantum mechanics (81T40) Other elementary particle theory in quantum theory (81V25) Applications of Lie (super)algebras to physics, etc. (17B81) Many-body theory; quantum Hall effect (81V70) Statistical mechanics of solids (82D20) Coherent states (81R30)

Related Items (5)

Some properties of Grassmannian $U(4)/U{(2)}^{2}$ coherent states and an entropic conjecture ⋮ On the oscillator realization of conformal U(2, 2) quantum particles and their particle-hole coherent states ⋮ Groups, Jacobi functions, and rigged Hilbert spaces ⋮ Husimi function and phase-space analysis of bilayer quantum Hall systems at ν = 2/λ ⋮ Massive conformal particles with non-abelian charges from free \(\text{U}(2N, 2N)\)-twistor dynamics: quantization and coherent states

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Extended MacMahon-Schwinger's master theorem and conformal wavelets in complex Minkowski space
• Perturbative gauge theory as a string theory in twistor space
• Exactly-solvable models derived from a generalized Gaudin algebra
• Contact transformations and conformal group. I: Relativistic theory; II Nonrelativistic theory
• All unitary ray representations of the conformal group SU(2,2) with positive energy
• Coherent states, wavelets and their generalizations
• Distributions on Minkowski space and their connection with analytic representations of the conformal group
• Coherent states for arbitrary Lie group
• Field representations of the conformal group with continuous mass spectrum
• Generalized \(W_{\infty}\) higher-spin algebras and symbolic calculus on flag manifolds
• Quantum field theory on quantized Bergman domain
• Coherent states of accelerated relativistic quantum particles, vacuum radiation and the spontaneous breakdown of the conformalSU(2,2) symmetry
• Colloquium: Exactly solvable Richardson-Gaudin models for many-body quantum systems
• CONFORMAL SPINNING QUANTUM PARTICLES IN COMPLEX MINKOWSKI SPACE AS CONSTRAINED NONLINEAR SIGMA MODELS IN U(2, 2) AND BORN'S RECIPROCITY
• On the oscillator realization of conformal U(2, 2) quantum particles and their particle-hole coherent states
• Physical consequences of a co-ordinate transformation to a uniformly accelerating frame
• The Jordan–Schwinger representations of Cayley–Klein groups. I. The orthogonal groups
• The Jordan–Schwinger representations of Cayley–Klein groups. II. The unitary groups
• The Jordan–Schwinger representations of Cayley–Klein groups. III. The symplectic groups
• Boson operator realizations of su(2) and su(1,1) and unitarization
• Integrable systems based on SU(p,q) homogeneous manifolds
• Bases for the Irreducible Representations of the Unitary Groups and Some Applications
• Coherent states on the GrassmannianU(4)/U(2)²: oscillator realization and bilayer fractional quantum Hall systems
• Twistor Algebra
• Irreducibility of the Ladder Representations of U(2, 2) when Restricted to the Poincaré Subgroup
• On Accelerated Coordinate Systems in Classical and Relativistic Mechanics
• Lie algebras and applications

This page was built for publication: On the oscillator realization of conformal U(2, 2) quantum particles and their particle-hole coherent states