TY - JOUR
T1 - Exact solutions of the 2D Dunkl-Klein-Gordon equation
T2 - The Coulomb potential and the Klein-Gordon oscillator
AU - Mota, R. D.
AU - Ojeda-Guillen, D.
AU - Salazar-Ramirez, M.
AU - Granados, V. D.
N1 - Publisher Copyright:
© 2021 World Scientific Publishing Company.
PY - 2021/7/30
Y1 - 2021/7/30
N2 - We introduce the Dunkl-Klein-Gordon (DKG) equation in 2D by changing the standard partial derivatives by the Dunkl derivatives in the standard Klein-Gordon (KG) equation. We show that the generalization with Dunkl derivative of the z-component of the angular momentum is what allows the separation of variables of the DKG equation. Then, we compute the energy spectrum and eigenfunctions of the DKG equations for the 2D Coulomb potential and the Klein-Gordon oscillator analytically and from an su(1, 1) algebraic point of view. Finally, we show that if the parameters of the Dunkl derivative vanish, the obtained results suitably reduce to those reported in the literature for these 2D problems.
AB - We introduce the Dunkl-Klein-Gordon (DKG) equation in 2D by changing the standard partial derivatives by the Dunkl derivatives in the standard Klein-Gordon (KG) equation. We show that the generalization with Dunkl derivative of the z-component of the angular momentum is what allows the separation of variables of the DKG equation. Then, we compute the energy spectrum and eigenfunctions of the DKG equations for the 2D Coulomb potential and the Klein-Gordon oscillator analytically and from an su(1, 1) algebraic point of view. Finally, we show that if the parameters of the Dunkl derivative vanish, the obtained results suitably reduce to those reported in the literature for these 2D problems.
KW - Coulomb potential
KW - Dunkl derivative
KW - Klein-Gordon equation
KW - Klein-Gordon oscillator
UR - http://www.scopus.com/inward/record.url?scp=85112235396&partnerID=8YFLogxK
U2 - 10.1142/S0217732321501716
DO - 10.1142/S0217732321501716
M3 - Artículo
AN - SCOPUS:85112235396
SN - 0217-7323
VL - 36
JO - Modern Physics Letters A
JF - Modern Physics Letters A
IS - 23
M1 - 2150171
ER -