A diagonal representation of the quantum density matrix using \(q\)-boson oscillator coherent states

DOI10.1016/S0375-9601(02)01356-7zbMath1001.81036arXivmath/0208128MaRDI QIDQ1847499

Yanyan Li

Publication date: 26 November 2002

Published in: Physics Letters. A (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0208128

zbMATH Keywords

self-reproducing kernel

Mathematics Subject Classification ID

Coherent states (81R30)

Related Items (5)

\(q\)-coherent states associated with the noncommutative complex plane \(\mathbb C_{q^2}\) for the Biedenharn-Macfarlane \(q\)-oscillator ⋮ Density operator formulation for magnetic systems: Physical and mathematical aspects ⋮ An interacting ensemble of particles in the context of quantum algebra ⋮ On nonlinear coherent states properties for electron-phonon dynamics ⋮ The \(q\)-deformed harmonic oscillator, coherent states, and the uncertainty relation

Cites Work

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• A q-difference analogue of \(U({\mathfrak g})\) and the Yang-Baxter equation
• The quantum group SU_q(2) and a q-analogue of the boson operators
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• On the Quantum Correction For Thermodynamic Equilibrium
• Non-relativistic quantum mechanics in a non-commutative space
• A q-analogue of the supersymmetric oscillator and its q-superalgebra
• Equivalence of Semiclassical and Quantum Mechanical Descriptions of Statistical Light Beams
• Theory of Reproducing Kernels

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