https://doi.org/10.1140/epjp/i2016-16396-7
Regular Article
Integro-differential Schrödinger equation in the presence of a uniform magnetic field
Department of Physics, Faculty of Sciences, Salman Farsi University of Kazerun, 73175-457, Kazerun, Iran
* e-mail: b_khosropour@kazerunsfu.ac.ir
Received:
10
September
2016
Accepted:
21
October
2016
Published online:
10
November
2016
The integro-differential Schrödinger equation (IDSE) was introduced by physicists to investigate nuclear reactions. In this work, we investigate the integro-differential Schrödinger equation in the presence of a uniform magnetic field. We show how the three-dimensional IDSE will be changed to a velocity-dependent Schrödinger equation in the presence of a uniform magnetic field. We find that interaction Hamiltonian will become a three-dimensional Schrödinger equation with the position-dependent effective mass, m(r), and potential energy, 
, which is the function of magnitude 
and quantum number mL. We obtain the exact solution of the radial Schrödinger equation for mass function 
.
© Società Italiana di Fisica and Springer-Verlag Berlin Heidelberg, 2016
