Supersymmetry without hermiticity within PT symmetric quantum mechanics
Jun, 2000
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Abstract:
A new model of supersymmetry between bosons and fermions is proposed. Its representation space is spanned by states with PT symmetry and real energies but the inter-related partner Hamiltonians themselves remain complex and non-Hermitian. The formalism admits vanishing Witten index.- 12.90.+b
- 03.65.Bz
- 11.30
- Supersymmetry
- PT symmetry
- Non-Hermitian representations of sl(1/1)
- Complex partner Hamiltonians with real spectra
- [formula omitted] symmetry
- supersymmetry: transformation
- supersymmetry: representation
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