To quantify the difference of $\eta$-inner products in $\cal PT$-symmetric theory
Quantum Physics
2021-07-21 v2
Abstract
In this paper, we consider a typical continuous two dimensional -symmetric Hamiltonian and propose two different approaches to quantitatively show the difference between the -inner products. Despite the continuity of Hamiltonian, the -inner product is not continuous in some sense. It is shown that the difference between the -inner products of broken and unbroken -symmetry is lower bounded. Moreover, such a property can lead to an uncertainty relation.
Keywords
Cite
@article{arxiv.2105.09278,
title = {To quantify the difference of $\eta$-inner products in $\cal PT$-symmetric theory},
author = {Minyi Huang and Guijun Zhang},
journal= {arXiv preprint arXiv:2105.09278},
year = {2021}
}
Comments
Minor corrections