  In the present work, genetic algorithm method (GA) is applied to the problem
of impurity at the center of a spherical quantum dot for infinite confining
potential case. For this purpose, any trial variational wave function is
considered for the ground state and energy values are calculated. In applying
the GA to the problem under investigation, two different approaches were
followed. Furthermore, a standard variational procedure is also performed to
determine the energy eigenvalues. The results obtained by all methods are found
in satisfactory agreement with each other and also with the exact values in
literature. But, it is found that the values obtained by genetic algorithm
based upon wavefunction optimization are closer to the exact values than
standard variational and also than genetic algorithm based on parameter
optimization methods.
