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.

Supersymmetry and the spontaneous breakdown of PT symmetry

TATEO, Roberto
2001-01-01

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.
2001
34
L391
L400
http://lanl.arxiv.org/pdf/hep-th/0104119
DOREY P; DUNNING C; R. TATEO
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/2318/10233
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