Perturbative equivalent theorem in \(q\)-deformed dynamics

DOI10.1016/S0370-2693(01)00964-9zbMath0971.81045arXivhep-th/0108111MaRDI QIDQ5942959

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Publication date: 16 September 2001

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

Full work available at URL: https://arxiv.org/abs/hep-th/0108111

zbMATH Keywords

Heisenberg algebraexpectation valuesperturbative Hamiltonians

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)

Related Items (3)

Squeezed states from a quantum deformed oscillator Hamiltonian ⋮ Structures of \(q\)-deformed currents ⋮ \(q\)-deformed dynamics and virial theorem

Cites Work

• 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
• Critical phenomenon of a consistent \(q\)-deformed squeezed state

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