Structures of \(q\)-deformed currents

DOI10.1016/S0370-2693(03)00005-4zbMath1008.81039arXivhep-th/0301007MaRDI QIDQ1855588

Jian-Zu Zhang

Publication date: 5 February 2003

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

Full work available at URL: https://arxiv.org/abs/hep-th/0301007

zbMATH Keywords

perturbation structure\(q\)-deformed Heisenberg algebraexplicit potential dependence

Mathematics Subject Classification ID

Quantum groups and related algebraic methods applied to problems in quantum theory (81R50) Perturbation theories for operators and differential equations in quantum theory (81Q15) Operator algebra methods applied to problems in quantum theory (81R15)

Cites Work

• \(q\)-deformed dynamics and virial theorem
• A \(q\)-deformed uncertainty relation.
• On q-analogues of the quantum harmonic oscillator and the quantum group SU(2)_q
• The quantum group SU_q(2) and a q-analogue of the boson operators
• Multi-mode q-coherent states
• Uncertainty relation in quantum mechanics with quantum group symmetry
• Double squeezing in generalized q-coherent states
• On the zeros of the q-analogue exponential function
• Hilbert spaces of analytic functions and generalized coherent states
• Perturbative equivalent theorem in \(q\)-deformed dynamics
• Critical phenomenon of a consistent \(q\)-deformed squeezed state

This page was built for publication: Structures of \(q\)-deformed currents