Pseudo-Hermiticity versus PT-symmetry. II. A complete characterization of non-Hermitian Hamiltonians with a real spectrum
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.
- Publication:
-
Journal of Mathematical Physics
- Pub Date:
- May 2002
- DOI:
- arXiv:
- arXiv:math-ph/0110016
- Bibcode:
- 2002JMP....43.2814M
- Keywords:
-
- 45.10.Na;
- 02.30.Tb;
- 02.10.Ud;
- 02.30.Zz;
- Geometrical and tensorial methods;
- Operator theory;
- Linear algebra;
- Inverse problems;
- Mathematical Physics;
- High Energy Physics - Theory;
- Quantum Physics
- E-Print:
- Revised version, accepted for publication in J. Math. Phys