Title of article
Relation of the nonlinear Heisenberg algebras in two dimensions with linear ones
Author/Authors
Chung, Won Sang Department of Physics and Research Institute of Natural Science - College of Natural Science - Gyeongsang National University, Jinju, Korea
Pages
6
From page
201
To page
206
Abstract
In this paper, we discuss the relation of the
nonlinear Heisenberg algebras in two dimensions with
linear ones following the Nowicki and Tkachuk’s approach
for one-dimensional case. For one-dimensional harmonic
oscillator, we obtain the solution explicitly. For the nonlinear
Heisenberg algebras in two dimensions, we introduce
two generators to transform this algebra into the linear
one. For the linear version of the nonlinear Heisenberg
algebras in two dimensions, we obtain the eigenfunction
for the position and angular momentum operator and solve
the harmonic oscillator problem in two dimensions.
Keywords
Nonlinear Heisenberg algebras , Two dimensions , Algebra
Journal title
Astroparticle Physics
Serial Year
2015
Record number
2407252
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