TY - JOUR
T1 - Landau levels for the (2 + 1) Dunkl-Klein-Gordon oscillator
AU - Mota, R. D.
AU - Ojeda-Guillén, D.
AU - Salazar-Ramírez, M.
AU - Granados, V. D.
N1 - Publisher Copyright:
© 2021 World Scientific Publishing Company.
PY - 2021/3/28
Y1 - 2021/3/28
N2 - In this paper, we study the (2 + 1)-dimensional Klein-Gordon oscillator coupled to an external magnetic field, in which we change the standard partial derivatives for the Dunkl derivatives. We find the energy spectrum (Landau levels) in an algebraic way, by introducing three operators that close the su(1, 1) Lie algebra and from the theory of unitary representations. Also, we find the energy spectrum and the eigenfunctions analytically, and we show that both solutions are consistent. Finally, we demonstrate that when the magnetic field vanishes or when the parameters of the Dunkl derivatives are set to zero, our results are adequately reduced to those reported in the literature.
AB - In this paper, we study the (2 + 1)-dimensional Klein-Gordon oscillator coupled to an external magnetic field, in which we change the standard partial derivatives for the Dunkl derivatives. We find the energy spectrum (Landau levels) in an algebraic way, by introducing three operators that close the su(1, 1) Lie algebra and from the theory of unitary representations. Also, we find the energy spectrum and the eigenfunctions analytically, and we show that both solutions are consistent. Finally, we demonstrate that when the magnetic field vanishes or when the parameters of the Dunkl derivatives are set to zero, our results are adequately reduced to those reported in the literature.
KW - Dunkl derivative
KW - Klein-Gordon oscillator
KW - Landau levels
KW - exact solutions
UR - http://www.scopus.com/inward/record.url?scp=85103482764&partnerID=8YFLogxK
U2 - 10.1142/S0217732321500668
DO - 10.1142/S0217732321500668
M3 - Artículo
AN - SCOPUS:85103482764
SN - 0217-7323
VL - 36
JO - Modern Physics Letters A
JF - Modern Physics Letters A
IS - 10
M1 - 2150066
ER -