Imperial College London
Professor Bender

Professor Bender

Faculty of Natural Sciences, Department of Physics

Academic Visitor
 
 
 
//

Contact

 

+44 (0)20 7594 7847c.bender Website

 
 
//

Location

 

521Huxley BuildingSouth Kensington Campus

//

Summary

 

Publications

Citation

BibTex format

@article{Bender:2017:10.1103/PhysRevA.95.052113,
author = {Bender, CM and Hassanpour, N and Hook, DW and Klevansky, SP and Snderhauf, C and Wen, Z},
doi = {10.1103/PhysRevA.95.052113},
journal = {Physical Review A},
title = {Behavior of eigenvalues in a region of broken PT symmetry},
url = {http://dx.doi.org/10.1103/PhysRevA.95.052113},
volume = {95},
year = {2017}
}
Download

RIS format (EndNote, RefMan)

TY  - JOUR
AB  - PT-symmetric quantum mechanics began with a study of the Hamiltonian H=p2+x2(ix). When ≥0, the eigenvalues of this non-Hermitian Hamiltonian are discrete, real, and positive. This portion of parameter space is known as the region of unbroken PT symmetry. In the region of broken PT symmetry, <0, only a finite number of eigenvalues are real and the remaining eigenvalues appear as complex-conjugate pairs. The region of unbroken PT symmetry has been studied but the region of broken PT symmetry has thus far been unexplored. This paper presents a detailed numerical and analytical examination of the behavior of the eigenvalues for −4<<0. In particular, it reports the discovery of an infinite-order exceptional point at =−1, a transition from a discrete spectrum to a partially continuous spectrum at =−2, a transition at the Coulomb value =−3, and the behavior of the eigenvalues as  approaches the conformal limit =−4.
AU  - Bender,CM
AU  - Hassanpour,N
AU  - Hook,DW
AU  - Klevansky,SP
AU  - Snderhauf,C
AU  - Wen,Z
DO  - 10.1103/PhysRevA.95.052113
PY  - 2017///
SN  - 1050-2947
TI  - Behavior of eigenvalues in a region of broken PT symmetry
T2  - Physical Review A
UR  - http://dx.doi.org/10.1103/PhysRevA.95.052113
UR  - http://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&KeyUT=WOS:000401443700002&DestLinkType=FullRecord&DestApp=ALL_WOS&UsrCustomerID=1ba7043ffcc86c417c072aa74d649202
UR  - http://hdl.handle.net/10044/1/52835
VL  - 95
ER  -
Download