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Supersymmetry and the Spontaneous Breakdown of PT Symmetry

Dorey, Patrick, Dunning, Clare, Tateo, Roberto (2001) Supersymmetry and the Spontaneous Breakdown of PT Symmetry. Journal of Physics A: Mathematical and General, 34 (28). L391-L400. ISSN 0305-4470. (doi:10.1088/0305-4470/34/28/102) (KAR id:4715)

Abstract

The appearances of complex eigenvalues in the spectra of PT-symmetric quantum mechanical systems are usually associated with a spontaneous breaking of PT. In this Letter we discuss a family of models for which this phenomenon is also linked with an explicit breaking of supersymmetry. Exact level-crossings are located, and connections with N-fold supersymmetry and quasi-exact solvability in certain special cases are pointed out.

Item Type: Article
DOI/Identification number: 10.1088/0305-4470/34/28/102
Uncontrolled keywords: QUANTUM-MECHANICS SYSTEMS
Subjects: Q Science > QA Mathematics (inc Computing science)
Divisions: Divisions > Division of Computing, Engineering and Mathematical Sciences > School of Mathematics, Statistics and Actuarial Science
Depositing User: Clare Dunning
Date Deposited: 30 Sep 2008 17:18 UTC
Last Modified: 05 Nov 2024 09:36 UTC
Resource URI: https://kar.kent.ac.uk/id/eprint/4715 (The current URI for this page, for reference purposes)

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