COMPUTATION OF EXPECTATION VALUES WITH DIRICHLET ONE-DIMENSIONAL WAVE-FUNCTIONS

Recently, it was proven that the wave functions psi of one-dimensional Schrodinger operators can be approximated by those psi(n) correspondi ng to the Dirichlet eigenproblem in a finite box sufficiently large. I n this article, sufficient conditions to compute expectation values ar e used to prove that the expectation value [psi, S psi] can be approxi mated by [psi(n), S psi(n)] as n --> infinity, for a wide class of unb ounded symmetric operators S. (C) 1995 John Wiley and Sons, Inc.