Bulletin of the American Physical Society
APS March Meeting 2011
Volume 56, Number 1
Monday–Friday, March 21–25, 2011; Dallas, Texas
Abstract: K1.00049 : Moments based calculations of PT-symmetric Hamiltonians
Author:
PT-symmetric Hamiltonians have gained recent interest in optics and particle
physics [Phys. Rev. A \textbf{82}, 031801 (2010), Phys. Rev. Lett.
\textbf{105}, 031601 (2010)] . These Hamiltonians remain invariant under the
reflection of parity and time. What makes them surprisingly interesting is
that PT-Hamiltonians have real positive spectra. In this paper, we calculate
the moments of the PT Hamiltonian H=p$^{2}$+x$^{2}$ (ix)$^{r}$ with r$>$0.
We will use these moments to compute the ground state energy by the
generalized moments expansion (GMX) and the canonical sequence method (CSM).
Comparisons will be made to the Lanczos tridiagonalization scheme as well as
to other published results.
To cite this abstract, use the following reference: http://meetings.aps.org/link/BAPS.2011.MAR.K1.49
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