Generalized Grassmann variables for quantum kit (k-level) systems and Barut–Girardello coherent states for su(r + 1) algebras

DOI10.1063/1.4983564zbMath1364.81153arXiv1703.00833OpenAlexW3102922653MaRDI QIDQ5738722

Laure Gouba, Mohammed Daoud

Publication date: 12 June 2017

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

Full work available at URL: https://arxiv.org/abs/1703.00833

Mathematics Subject Classification ID

Coherent states (81R30) Clifford algebras, spinors (15A66) Operator algebra methods applied to problems in quantum theory (81R15) Exterior algebra, Grassmann algebras (15A75) Quantum information, communication, networks (quantum-theoretic aspects) (81P45)

Related Items (1)

Lewis-Riesenfeld quantization and SU(1, 1) coherent states for 2D damped harmonic oscillator

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Para-Grassmannian coherent and squeezed states for pseudo-Hermitian \(q\)-oscillator and their entanglement
• On linear differential equations involving a para-Grassmann variable
• Coherent states, wavelets and their generalizations
• Para-Grassmann variables and coherent states
• New 'coherent' states associated with non-compact groups
• Coherent states for arbitrary Lie group
• Paragrassmann Integral, Discrete Systems and Quantum Groups
• Temporally stable coherent states for infinite well and Pöschl–Teller potentials
• PARA-GRASSMANN EXTENSIONS OF THE VIRASORO ALGEBRA
• Phase operators, phase states and vector phase states for SU3 and SU2, 1
• Bosonic andk-fermionic coherent states for a class of polynomial Weyl–Heisenberg algebras
• Nonlinear fermions and coherent states
• Vector coherent states from Plancherel's theorem, Clifford algebras and matrix domains
• A NOTE ON GAUSSIAN INTEGRALS OVER PARA-GRASSMANN VARIABLES
• Fermionic coherent states for pseudo-Hermitian two-level systems
• Fractional supersymmetry and hierarchy of shape invariant potentials
• Phase operators, temporally stable phase states, mutually unbiased bases and exactly solvable quantum systems
• Generalized Grassmannian coherent states for pseudo-Hermitiann-level systems
• Coherent states for systems with discrete and continuous spectrum
• q-functional Wick's theorems for particles with exotic statistics
• Random walk and the heat equation on superspace and anyspace
• General sets of coherent states and the Jaynes$ndash$Cummings model
• An Indeterminacy Relation for Several Observables and Its Classical Interpretation
• Baker-Campbell-Hausdorff formulas
• Jacobson generators, Fock representations and statistics of sl(n+1)
• Qubits as parafermions
• On linear differential equations with variable coefficients involving a para-Grassmann variable
• COHERENT AND GENERALIZED INTELLIGENT STATES FOR INFINITE SQUARE WELL POTENTIAL AND NONLINEAR OSCILLATORS
• Coherent and Incoherent States of the Radiation Field
• FINITE DIMENSIONAL QUANTIZATIONS OF THE (q,p) PLANE: NEW SPACE AND MOMENTUM (OR QUADRATURES) INEQUALITIES
• On the Representations of the Rotation Group

This page was built for publication: Generalized Grassmann variables for quantum kit (k-level) systems and Barut–Girardello coherent states for su(r + 1) algebras