A LIMITING ABSORPTION PRINCIPLE FOR SCHRODINGER OPERATORS WITH GENERALIZED VON-NEUMANN-WIGNER POTENTIALS .1. CONSTRUCTION OF APPROXIMATE PHASE

摘要

In this series of papers we prove the limiting absorption principle over a given interval for a class of Hamiltonians which contains the original one of von Neumann and Wigner. More specifically, the Hamiltonians are of the form -Delta + c sin bx/x(beta) + V(x), where 2/3 < beta less than or equal to 1, V(x) is a short range potential and J is a given compact subinterval of the open positive axis which does not contain the point b(2)/4. (C) 1997 Academic Press. [References: 21]