A matrix method for power series potentials

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Abstract
Several useful techniques are described for treating power series potentials. These include: a moving row matrix nested multiplication method for constructing the Hamiltonian matrix; a scaled folding algorithm to find the eigenvalues; and an energy shift method which gives expectation values and eigencolumn elements. Two test problems are treated using the techniques; in particular, it is found to be possible to treat a triple-well problem using only a simple single-oscillator basis set.

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