Conditional electron confinement in graphene via smooth magnetic fields

- Conditional electron confinement in graphene.
- Smooth everywhere finite magnetic fields have been used.
- Conditional and quasi exactly solvable systems are obtained.

In this article we discuss confinement of electrons in graphene via smooth magnetic fields which are finite everywhere on the plane. We shall consider two types of magnetic fields leading to systems which are conditionally exactly solvable and quasi exactly solvable. The bound state energies and wavefunctions in both cases have been found exactly.