STATIONARY ANHARMONIC-OSCILLATORS IN THE PARTICLE-IN-A-BOX BASIS - NEAR-EXACT RESULTS

Variational studies employing the basis functions of the quantal parti cle-in-a-box model are shown to lead to accurate estimates of eigenval ues, various expectation values and eigenfunctions of the stationary a nharmonic oscillator problem. Calculations involve both zx2alpha and ( x2+ zx2alpha)-type oscillators, with alpha = 2, 3 and 4, both in weak and strong coupling regime. Apart from its recommendable computational simplicity, convergence of the present recipe has also been demonstra ted to be quite fast. Results for the first ten states are reported. A few goodness tests for the approximate wavefunctions and consistency requirements for some properties are also performed.