  We derive the energy levels of a circular Quantum Dot (QD) under a transverse
magnetic field, incorporating the Ben-Daniel Duke boundary condition (BDD). The
parameters in our model are the confinement barrier height, the size of the QD,
the magnetic field strength, and a mass ratio highlighting the effect of using
BDD. Charge densities, transition energies, and the dependence of energies on
magnetic field has been calculated to show the strong influence of BDD. We find
that our numerical calculations agree well with experimental results on the
GaAs-InGaAs Quantum Dot and can be used further. We also provide an insightful
analytical approximation to our numerical results, which converges well for
larger values of size and confinement.
