Relation of the nonlinear Heisenberg algebras in two dimensions with linear ones
الموضوعات : Journal of Theoretical and Applied Physics
Won Sang Chung
1
(Department of Physics and Research Institute of Natural Science, College of Natural Science, Gyeongsang National University)
الکلمات المفتاحية: Nonlinear Heisenberg algebras, Algebra, Two dimensions,
ملخص المقالة :
AbstractIn 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.
