TY - JOUR
T1 - Algebraic solution and coherent states for the Dirac oscillator interacting with the Aharonov-Casher system in the cosmic string background
AU - Salazar-Ramírez, M.
AU - Ojeda-Guillén, D.
AU - Mota, R. D.
AU - Martínez-Nuño, J. A.
AU - Cordero-López, M. R.
N1 - Publisher Copyright:
© 2021 World Scientific Publishing Company.
PY - 2021/7/10
Y1 - 2021/7/10
N2 - In this paper, we introduce an SU(1, 1) algebraic approach to study the (2 + 1)-Dirac oscillator in the presence of the Aharonov-Casher effect coupled to an external electromagnetic field in the Minkowski spacetime and the cosmic string spacetime. This approach is based on a quantum mechanics factorization method that allows us to obtain the su(1, 1) algebra generators, the energy spectrum and the eigenfunctions. We obtain the coherent states and their temporal evolution for each spinor component of this problem. Finally, for these problems, we calculate some matrix elements and the Schrödinger uncertainty relationship for two general SU(1, 1) operators.
AB - In this paper, we introduce an SU(1, 1) algebraic approach to study the (2 + 1)-Dirac oscillator in the presence of the Aharonov-Casher effect coupled to an external electromagnetic field in the Minkowski spacetime and the cosmic string spacetime. This approach is based on a quantum mechanics factorization method that allows us to obtain the su(1, 1) algebra generators, the energy spectrum and the eigenfunctions. We obtain the coherent states and their temporal evolution for each spinor component of this problem. Finally, for these problems, we calculate some matrix elements and the Schrödinger uncertainty relationship for two general SU(1, 1) operators.
KW - Algebraic methods
KW - Schrödinger factorization
KW - coherent states
KW - cosmic string background
UR - http://www.scopus.com/inward/record.url?scp=85110501127&partnerID=8YFLogxK
U2 - 10.1142/S0217732321501467
DO - 10.1142/S0217732321501467
M3 - Artículo de revisión
AN - SCOPUS:85110501127
SN - 0217-7323
VL - 36
JO - Modern Physics Letters A
JF - Modern Physics Letters A
IS - 21
M1 - 2150146
ER -