Series Solutions of PT-Symmetric Schrödinger Equations

2016/01/11 by Chris Ford, Ford, Chris, Bichang Xia +1
Mathematics · Physics and Astronomy · #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #Mathematical Physics (math-ph) #Quantum Physics (quant-ph) #hep-th #math-ph #math.MP #quant-ph

paper · pdf · doi:10.48550/arxiv.1601.02446

8 pages, 3 figures

arxiv created 2016/01/11 · arxiv updated 2016/01/14

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.

Related

• PT and non-PT-Symmetric Solutions of the Schrodinger Equation for the Generalized Woods-Saxon Potential
• Series Solutions of the N-Dimensional Position-Dependent Mass Schrodinger Equation with a General Class of Potentials
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• Exponential asymptotics for the eigenvalues in the broken PT-symmetric region
• Eigenvalues and Eigenfunctions of Woods Saxon Potential in PT Symmetric Quantum Mechanics