Real Spectra in Non-Hermitian Hamiltonians Having PT Symmetry
Bender, Carl M. ; Boettcher, Stefan
arXiv, 9712001 / Harvested from arXiv
Text on arXiv
The condition of self-adjointness ensures that the eigenvalues of a Hamiltonian are real and bounded below. Replacing this condition by the weaker condition of ${\cal PT}$ symmetry, one obtains new infinite classes of complex Hamiltonians whose spectra are also real and positive. These ${\cal PT}$ symmetric theories may be viewed as analytic continuations of conventional theories from real to complex phase space. This paper describes the unusual classical and quantum properties of these theories.
Publié le : 1997-11-28
Classification:  Mathematical Physics,  Condensed Matter,  High Energy Physics - Theory,  Quantum Physics 
@article{9712001,
     author = {Bender, Carl M. and Boettcher, Stefan},
     title = {Real Spectra in Non-Hermitian Hamiltonians Having PT Symmetry},
     journal = {arXiv},
     volume = {1997},
     number = {0},
     year = {1997},
     language = {en},
     url = {http://dml.mathdoc.fr/item/9712001}
}

Bender, Carl M.; Boettcher, Stefan. Real Spectra in Non-Hermitian Hamiltonians Having PT Symmetry. arXiv, Tome 1997 (1997) no. 0, . http://gdmltest.u-ga.fr/item/9712001/