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(Reference retrieved automatically from Web of Science through information on FAPESP grant and its corresponding number as mentioned in the publication by the authors.)

On the 2D Dirac oscillator in the presence of vector and scalar potentials in the cosmic string spacetime in the context of spin and pseudospin symmetries

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Lima, Daniel F. [1] ; Andrade, Fabiano M. [2] ; Castro, Luis B. [1] ; Filgueiras, Cleverson [3] ; Silva, Edilberto O. [1]
Total Authors: 5
[1] Univ Fed Maranhao, Dept Fis, BR-65085580 Sao Luis, MA - Brazil
[2] Univ Estadual Ponta Grossa, Dept Matemat & Estat, BR-84030900 Ponta Grossa, PR - Brazil
[3] Univ Fed Lavras, Dept Fis, Caixa Postal 3037, BR-37200000 Lavras, MG - Brazil
Total Affiliations: 3
Document type: Journal article
Source: EUROPEAN PHYSICAL JOURNAL C; v. 79, n. 7 JUL 15 2019.
Web of Science Citations: 1

The Dirac equation with both scalar and vector couplings describing the dynamics of a two-dimensional Dirac oscillator in the cosmic string spacetime is considered. We derive the Dirac-Pauli equation and solve it in the limit of the spin and the pseudo-spin symmetries. We analyze the presence of cylindrical symmetric scalar potentials which allows us to provide analytic solutions for the resultant field equation. By using an appropriate ansatz, we find that the radial equation is a biconfluent Heun-like differential equation. The solution of this equation provides us with more than one expression for the energy eigenvalues of the oscillator. We investigate these energies and find that there is a quantum condition between them. We study this condition in detail and find that it requires the fixation of one of the physical parameters involved in the problem. Expressions for the energy of the oscillator are obtained for some values of the quantum number n. Some particular cases which lead to known physical systems are also addressed. (AU)

FAPESP's process: 18/20577-4 - Studies on fermions and bosons in low dimensions and their applications in graphene and topological insulators
Grantee:Antonio Soares de Castro
Support type: Research Grants - Visiting Researcher Grant - Brazil