Bootstrapping PT symmetric Hamiltonians
Quantum Physics
2022-10-05 v1 High Energy Physics - Theory
Abstract
Bootstrapping in Quantum Mechanics uses positivity condition to derive the Eigenspectum. For non-hermitian systems usual positivity condition does not work. In this paper we define positivity condition for special class of non-hermitian hamiltonian, the PT symmetric Hamiltonian. We illustrate this modified positivity condition with several examples and obtain eigenspectrum.
Cite
@article{arxiv.2202.05351,
title = {Bootstrapping PT symmetric Hamiltonians},
author = {Sakil Khan and Yuv Agarwal and Devjyoti Tripathy and Sachin Jain},
journal= {arXiv preprint arXiv:2202.05351},
year = {2022}
}
Comments
20 pages, 9 figures