Series Solutions of PT-Symmetric Schr\"odinger Equations
Mathematical Physics
2016-01-14 v1 High Energy Physics - Theory
math.MP
Quantum 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.
Keywords
Cite
@article{arxiv.1601.02446,
title = {Series Solutions of PT-Symmetric Schr\"odinger Equations},
author = {Chris Ford and Bichang Xia},
journal= {arXiv preprint arXiv:1601.02446},
year = {2016}
}
Comments
8 pages, 3 figures