Annals of physics, 2010-06, Vol.325 (6), p.1198-1206
2010
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- Autor(en) / Beteiligte
- Titel
- Supersymmetry, PT-symmetry and spectral bifurcation
- Ist Teil von
- Annals of physics, 2010-06, Vol.325 (6), p.1198-1206
- Ort / Verlag
- New York: Elsevier Inc
- Erscheinungsjahr
- 2010
- Quelle
- Alma/SFX Local Collection
- Beschreibungen/Notizen
- We demonstrate that large class of PT-symmetric complex potentials, which can have isospectral real partner potentials, possess two different superpotentials. In the parameter domain, where the superpotential is unique, the spectrum is real and shape-invariant, leading to translational shift in a suitable parameter by real units. The case of two different superpotentials, leading to same potential, yields broken PT-symmetry, the energy spectra in the two phases being separated by a bifurcation. Interestingly, these two superpotentials generate the two disjoint sectors of the Hilbert space. In the broken case, shape invariance produces complex parametric shifts.
- Sprache
- Englisch
- Identifikatoren
- ISSN: 0003-4916eISSN: 1096-035XDOI: 10.1016/j.aop.2010.04.003Titel-ID: cdi_osti_scitechconnect_21452976
- Format
- –
- Schlagworte
- BANACH SPACE, BIFURCATION, Bifurcations, C INVARIANCE, CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS, ENERGY SPECTRA, HILBERT SPACE, Invariance, INVARIANCE PRINCIPLES, MATHEMATICAL SPACE, P INVARIANCE, Particle physics, PHYSICS OF ELEMENTARY PARTICLES AND FIELDS, Platinum, POTENTIALS, PT-symmetry, Quantum physics, SPACE, SPECTRA, SUPERSYMMETRY, SYMMETRY, T INVARIANCE, Two phase