37 citations · 220 across the 22 of their papers we have counts for
4 papers · 1 filter
Singular inverse square potential in coordinate space with a minimal length
Djamil Bouaziz, Tolga Birkandan
The problem of a particle of mass m in the field of the inverse square potential is studied in quantum mechanics with a generalized uncertainty principle, characterized by the exis…
Exact solution of the wave equation of a scalar particle in the zero mass limit of Kerr and Kerr-(anti-)de-Sitter space-times
T. Birkandan, M. Hortaçsu
Heun-type exact solutions emerge for both the radial and the angular equations for the case of a scalar particle coupled to the zero mass limit of both the Kerr and Kerr-(anti)de-S…
Heun-type solutions for Schwarzschild metric with electromagnetic fields
T. Birkandan, M. Hortaçsu
We find confluent Heun solutions to the radial equations of two Halilsoy-Badawi metrics. For the first metric, we studied the radial part of the massless Dirac equation and for the…
Symbolic and Numerical Analysis in General Relativity with Open Source Computer Algebra Systems
Tolga Birkandan, Ceren Güzelgün, Elif Şirin +1
We study three computer algebra systems, namely SageMath (with SageManifolds package), Maxima (with ctensor package) and Python language (with GraviPy module), which allow tensor m…