THREE-PARAMETER (TWO-SIDED) DEFORMATION OF HEISENBERG ALGEBRA

DOI10.1142/S0217732312501143zbMath1257.81040arXiv1204.2817MaRDI QIDQ4907638

Alexandre M. Gavrilik, Ivan I. Kachurik

Publication date: 21 February 2013

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

Full work available at URL: https://arxiv.org/abs/1204.2817

zbMATH Keywords

deformation parametersdeformed Heisenberg algebradeformed oscillatorsposition and momentum operators

Mathematics Subject Classification ID

Quantum groups (quantized enveloping algebras) and related deformations (17B37) Quantum groups and related algebraic methods applied to problems in quantum theory (81R50) PDEs on Heisenberg groups, Lie groups, Carnot groups, etc. (35R03)

Related Items (4)

Nonstandard deformed oscillators from \(q\)- and \(p,q\)-deformations of Heisenberg algebra ⋮ Pseudo-Hermitian position and momentum operators, Hermitian Hamiltonian, and deformed oscillators ⋮ The \(q\)-boson algebra and \(su_q(2)\) algebra based on \(q\)-deformed binary operations ⋮ SINGLE BOSON AND INVERSION BOSON REALIZATIONS OF MULTI-PARAMETER NONLINEARLY DEFORMED ANGULAR MOMENTUM ALGEBRA

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