PreprintCC BY 4.0arXiv
Closed-form construction of exceptional points in a two-parametric PT-symmetric large-matrix model
Abstract
Stable bound states living on a discrete one-dimensional N-point lattice are assumed generated by a certain two-parametric PT symmetric potential V=V(A,B). At any N, the coordinates A=A(EP) and B=B(EP) of the Kato's exceptional point (marking the phase-transition instant of the loss of stability) are defined, exactly, via roots of a certain elementary quartic polynomial.
Related
- A PT -Symmetric RuellePerronFrobenius Framework for the Riemann Hypothesis: Pseudo-Hermitian Metric Rigidity, Kato Exceptional Points, and BáezDuarte Density
- Exceptional maps and abelian points in backward orbits
- Exceptional Points as Witnesses of Non-Gaussian Noise
- Exceptional points on Atkin--Lehner quotients
- Optimal quantum discrimination at Liouvillian exceptional points
BibTeX
@misc{znojil2026closedform,
title = {{Closed-form construction of exceptional points in a two-parametric PT-symmetric large-matrix model}},
author = {Miloslav Znojil},
howpublished = {arXiv},
year = {2026},
month = oct,
doi = {10.48550/arxiv.2610.16613},
eprint = {2610.16613},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2610.16613},
note = {CC BY 4.0},
}
RIS
TY - UNPB
TI - Closed-form construction of exceptional points in a two-parametric PT-symmetric large-matrix model
AU - Miloslav Znojil
PY - 2026
DA - 2026/10/12
PB - arXiv
DO - 10.48550/arxiv.2610.16613
UR - https://arxiv.org/abs/2610.16613
AB - Stable bound states living on a discrete one-dimensional N-point lattice are assumed generated by a certain two-parametric PT symmetric potential V=V(A,B). At any N, the coordinates A=A^(EP) and B=B^(EP) of the Kato's exceptional point (marking the phase-transition instant of the loss of stability) are defined, exactly, via roots of a certain elementary quartic polynomial.
ER -