A matrix method for power series potentials

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