Series Solutions of PT-Symmetric Schrödinger Equations
arXiv:1601.02446
Abstract
We consider series solutions of the Schrödinger equation for the Bender-Boettcher potentials V(x)=-(ix)^N with integer N. A simple truncation is introduced which provides accurate results regarding the ground state and first few excited states for any N. This is illustrated with explicit computations of energy levels, node structure and expectation values for some integer N.
8 pages, 3 figures