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Bootstrapping PT symmetric quantum mechanics

Authors :
Sakil Khan
Yuv Agarwal
Devjyoti Tripathy
Sachin Jain
Source :
Physics Letters B, Vol 834, Iss , Pp 137445- (2022)
Publication Year :
2022
Publisher :
Elsevier, 2022.

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.

Details

Language :
English
ISSN :
03702693
Volume :
834
Issue :
137445-
Database :
Directory of Open Access Journals
Journal :
Physics Letters B
Publication Type :
Academic Journal
Accession number :
edsdoj.78a3a873ba274131b3f57805be4d1f5d
Document Type :
article
Full Text :
https://doi.org/10.1016/j.physletb.2022.137445