Pseudo-Hermiticity versus PT-symmetry. II. A complete characterization of non-Hermitian Hamiltonians with a real spectrum
AMAli Mostafazadeh
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Abstract
We give a necessary and sufficient condition for the reality of the spectrum of a non-Hermitian Hamiltonian admitting a complete set of biorthonormal eigenvectors.
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Authors
1- AMAli MostafazadehCorresponding
Koç University
Topics & keywords
Topics
Keywords
- Hermitian matrix
- Hamiltonian (control theory)
- Eigenvalues and eigenvectors
- Spectrum (functional analysis)
- Mathematics
- Mathematical physics
- Symmetry (geometry)
- Physics
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