On (p, q; \alpha, \beta, l)-deformed oscillators and their oscillator algebras
Quantum Algebra
2007-05-23 v1
Abstract
We present a description of a new kind of the deformed canonical commutation relations, their representations and generated by them Heisenberg-Weyl algebra. This deformed algebra allows us to derive operations of the Hopf algebra structure: comultiplication, counit and antipode. We discuss properties of a discrete spectrum of the Hamiltonian of the deformed harmonic oscillator corresponding to this oscillator-like system.
Keywords
Cite
@article{arxiv.math/0609441,
title = {On (p, q; \alpha, \beta, l)-deformed oscillators and their oscillator algebras},
author = {I. M. Burban},
journal= {arXiv preprint arXiv:math/0609441},
year = {2007}
}
Comments
10 pages