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The model Hamiltonian for the confined quantum system under study, in the effective mass approximation, can be written, in atomic units, as

where V is the potential that accounts for the internal interactions of the components of the system and Vb is the confining potential. Here we shall assume that Vb has the form

At this point, the variational method can be implemented to calculate the energy of the ground state of the system by construing the functional i(a, ß) = f x*i

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