Mathematical Physics
[Submitted on 11 Jan 2016
]
Title: Series Solutions of PT-Symmetric Schrödinger Equations
Title: PT对称薛定谔方程的级数解
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.
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