Fock Darwin states

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Hi,
Suppose I have a 2D spinless electron bounded by a parabolic confining potential. If we add a magnetic field perpendicular to the plane the eigenstates of the system are the so called Fock-Darwin states.
However, suppose we change the boundary potential to a circular hard-wall potential. In the absence of the magnetic field I know how to find the eigenstates, which are some combination of Bessel functions of first kind. However, does anybody a method to determine the new eigenstates in the presence of the magnetic field ?
Thanks
 

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