TY - JOUR
T1 - Algebraic solution and coherent states for the Dirac oscillator interacting with a topological defect
AU - Salazar-Ramírez, M.
AU - Ojeda-Guillén, D.
AU - Morales-González, A.
AU - García-Ortega, V. H.
N1 - Publisher Copyright:
© 2019, Società Italiana di Fisica and Springer-Verlag GmbH Germany, part of Springer Nature.
PY - 2019/1/1
Y1 - 2019/1/1
N2 - In this work we study and exactly solve the Dirac oscillator interacting with three different topological defects, namely the cosmic string spacetime (Λ∓), the magnetic cosmic string spacetime (Θ∓) and the cosmic dislocation spacetime (Π∓). Moreover, we show that the radial part of this problem possesses an SU(1, 1) symmetry. Then, we obtain the wave functions and their respective energy spectrum by means of the Schrödinger factorization. Finally, we compute the radial coherent states and their time evolution in a general form for each topological defect.
AB - In this work we study and exactly solve the Dirac oscillator interacting with three different topological defects, namely the cosmic string spacetime (Λ∓), the magnetic cosmic string spacetime (Θ∓) and the cosmic dislocation spacetime (Π∓). Moreover, we show that the radial part of this problem possesses an SU(1, 1) symmetry. Then, we obtain the wave functions and their respective energy spectrum by means of the Schrödinger factorization. Finally, we compute the radial coherent states and their time evolution in a general form for each topological defect.
UR - http://www.scopus.com/inward/record.url?scp=85059551627&partnerID=8YFLogxK
U2 - 10.1140/epjp/i2019-12381-0
DO - 10.1140/epjp/i2019-12381-0
M3 - Artículo
SN - 2190-5444
VL - 134
JO - European Physical Journal Plus
JF - European Physical Journal Plus
IS - 1
M1 - 8
ER -