Supersymmetry and the Spontaneous Breakdown of PT Symmetry

Dorey, Patrick and Dunning, Clare and 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. (Full text available)

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http://dx.doi.org/10.1088/0305-4470/34/28/102

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
Uncontrolled keywords: QUANTUM-MECHANICS SYSTEMS
Subjects: Q Science > QA Mathematics (inc Computing science)
Divisions: Faculties > Science Technology and Medical Studies > School of Mathematics Statistics and Actuarial Science > Applied Mathematics
Depositing User: Clare Dunning
Date Deposited: 30 Sep 2008 17:18
Last Modified: 29 Apr 2014 14:15
Resource URI: http://kar.kent.ac.uk/id/eprint/4715 (The current URI for this page, for reference purposes)
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