A turning point problem arising in connection with a limiting absorption principle for schrodinger operators with generallized von neumann-wigner potentials

摘要

In connection with our study of "A Limiting Absorption Principle for Schrodinger Operators with Generalized Von Neumann-Wigner Potentials" (7,8) we needed to solve a turning point problem for a family of ordinary differential equations. This family arose by separation of variables from the partial differential equation (-triangle open + p0- lambda)f=0, where triangle open is the Laplacian, p0 is a spherically symmetric potential function given by definition (2.1) and almbda > 0 is the spectral parameter.