The \(q\)-deformed Heisenberg algebra and \(k\)-fermions

DOI10.1016/S0375-9601(03)00376-1zbMath1034.81028MaRDI QIDQ1566193

Zu Sen Zhao, Hui-yun Pan

Publication date: 1 June 2003

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

zbMATH Keywords

non-Hermitian realizationsoperator rescalingquantum group transformation

Mathematics Subject Classification ID

Quantum groups and related algebraic methods applied to problems in quantum theory (81R50)

Related Items (3)

Fractional supersymmetry and hierarchy of shape invariant potentials ⋮ Fractional supersymmetric quantum mechanics as a set of replicas of ordinary supersymmetric quantum mechanics ⋮ Normal ordering \(q\)-bosons and combinatorics

Cites Work

• Atom optics and quantum groups
• A note on \(q\)-transformation theory
• 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
• ‘‘Fractional statistics’’ in arbitrary dimensions: A generalization of the Pauli principle
• On position and momentum operators in the q-oscillator algebra
• A Generalized Method of Field Quantization
• Operator realizations of the \(q\)-deformed Heisenberg algebra

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