A physical interpretation for the non-Hermitian Hamiltonian
Quantum Physics
2011-11-11 v1
Abstract
We explore a way of finding the link between a non-Hermitian Hamiltonian and a Hermitian one. Based on the analysis of Bethe Ansatz solutions for a class of non-Hermitian Hamiltonians and the scattering problems for the corresponding Hermitian Hamiltonians. It is shown that a scattering state of an arbitrary Hermitian lattice embedded in a chain as the scattering center shares the same wave function with the corresponding non-Hermitian tight binding lattice, which consists of the Hermitian lattice with two additional on-site complex potentials, no matter the non-Hermitian is broken PT symmetry or even non-PT. An exactly solvable model is presented to demonstrate the main points of this article.
Cite
@article{arxiv.1101.0351,
title = {A physical interpretation for the non-Hermitian Hamiltonian},
author = {L. Jin and Z. Song},
journal= {arXiv preprint arXiv:1101.0351},
year = {2011}
}
Comments
8 pages, 3 figures