Relativistic Bound States of Spinless Particle by the Cornell Potential Model in External Fields

Abstract EN

The two-dimensional (2D) relativistic bound states of a spinless particle placed in scalar S(r) and vector V(r) Cornell potentials (with S(r)>V(r)) are obtained under the influence of external magnetic and Aharonov-Bohm (AB) flux fields using the wave function ansatz method.

The relativistic energy eigenvalues and wave functions are found for any arbitrary state with principal n and magnetic m quantum numbers.

Further, we obtain the eigensolutions in any dimensional space D without external fields.

We also find the relativistic and nonrelativistic bound states for Coulomb, harmonic oscillator, and Kratzer potentials.