Variational Calculations for a Two-Electron Quantum Dot Interacting with a Magnetic Field

The behavior of the two-electron quantum dot interacting with a uniform magnetic field is not fully understood yet. This lack of clarity arises from the fact that the mixed, spherical and cylindrical, coordinates do not allow the system to be separable. In this paper, we applied an standard variational method, with a physical recipe for choosing compact trial functions. In order to solve the six dimensional integrals necessary to compute the expectation value of the Hamiltonian, we used a Monte Carlo routine. The energy values obtained are in agreement with the ones presented in previous literature.