A reduce approach to one-dimensional polynomial anharmonic oscillators

A REDUCE programme based on the two step approach is developed to solve the Schroedinger equation for a polynomial potential. The programme is simple and suitable for a microcomputer. The transformation of the Hamiltonian, the determination of the matrix elements, the derivation of the equation which must be satisfied by the parameter in the variation method and even the Fortran programme for numerical calculation are all effected or generated by computer automatically. As an example the pure quartic oscillator is calculated and the results are compared with those available in the literature. Agreement is satisfactory. (author). 10 refs, 1 fig., 3 tabs