Abstract
A discretized generator coordinate based recipe is explored for finding eigenstates of one and two dimensional anharmonic oscillators. The resulting non-linear variational problem is handled by invoking the method of simulated annealing as a stochastic minimizer. The ground and a few excited state eigenvalues are obtained either by sequential or manifold energy minimization routes. From the optimized eigenvalues and eigenvectors, we explore the possibility of constructing a suitable unperturbed Hamiltonian H (0) around which a faster convergent perturbative expansion can be carried out.
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