TY - EJOUR
PY - 2023
DA - November
TI - Relation of the nonlinear Heisenberg algebras in two dimensions with linear ones
T2 - Journal of Theoretical and Applied Physics
VL - 9
L1 - https://oiccpress.com/journal-of-theoretical-and-applied-physics/article/relation-of-the-nonlinear-heisenberg-algebras-in-two-dimensions-with-linear-ones/
DO - 10.1007/s40094-015-0179-3
N2 - 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.
IS - 3
PB - OICC Press
KW - Two dimensions, Algebra, Nonlinear Heisenberg algebras 
EN -