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Series Solutions of PT-Symmetric Schr\"odinger Equations

Research paper by Chris Ford, Bichang Xia

Indexed on: 11 Jan '16Published on: 11 Jan '16Published in: Mathematical Physics



Abstract

We consider series solutions of the Schr\"odinger 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.