Eigenvalues for p^2+x^2(ix)^\epsilon

2013-02-14T03:35:43Z (GMT) by Daniel Hook
<p>This file contains a set of eigenvalues obtained by solving the eigenvalue problem associated with the differential equation $-\frac{\partial^2 \psi}{\partial x^2}+x^2(i x)^\epsilon\psi=E\psi$.  The method of solution is numerical in nature using Mathematica 9's built in NDSolve function with a 9th order adaptive Runge-Kutta method and a standardized shooting algorithm. </p> <p>All eigenvalues are quoted to 6 places and have been calculated to higher precision in order to ensure 6 valid places.</p> <p>This problem was oringally solved and published under:</p> <p>Real Spectra in Non-Hermitian Hamiltonians Having PT Symmetry by Carl M Bender and Stefan Boettcher [Phys.Rev.Lett. 80 (1998) 5243-5246].</p> <p>This dataset demonstrates independent reproduction of the original results and makes the data underlying the figures in the paper available to those who wish to check their own results.</p> <p>Further eigenvalues and supporting information to follow in this dataset [DWH - 14/2/2013].</p> <p> </p>