figshare
Browse
benderboettchereigenvalues.csv (0.85 kB)

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

Download (0 kB)
dataset
posted on 2013-02-14, 03:35 authored by Daniel HookDaniel Hook

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. 

All eigenvalues are quoted to 6 places and have been calculated to higher precision in order to ensure 6 valid places.

This problem was oringally solved and published under:

Real Spectra in Non-Hermitian Hamiltonians Having PT Symmetry by Carl M Bender and Stefan Boettcher [Phys.Rev.Lett. 80 (1998) 5243-5246].

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.

Further eigenvalues and supporting information to follow in this dataset [DWH - 14/2/2013].

 

History