Comment on the article by Bender et al, J. Phys. A 35, L467 (2002)
Mathematical Physics
2007-05-23 v1 Functional Analysis
math.MP
Spectral Theory
Abstract
The recent Letter by Bender, Berry, and Mandilara (2002, BBM) presents some interesting symmetry arguments which enable one to transform non-hermitian, PT invariant, (complex) polynomial potential hamiltonians, into secular equation representations with real coefficients. This achievement is claimed to ``demistify'' why these systems can admit real and/or complex eigenenergies. Two approximations underly their arguments, and weaken the implied significance of their work.
Cite
@article{arxiv.math-ph/0208021,
title = {Comment on the article by Bender et al, J. Phys. A 35, L467 (2002)},
author = {C. R. Handy},
journal= {arXiv preprint arXiv:math-ph/0208021},
year = {2007}
}
Comments
Submitted to J. Phys. A