Real Spectra in NonHermitian Hamiltonians Having PT Symmetry
Abstract
The condition of selfadjointness ensures that the eigenvalues of a Hamiltonian are real and bounded below. Replacing this condition by the weaker condition of PT symmetry, one obtains new infinite classes of complex Hamiltonians whose spectra are also real and positive. These 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.
 Publication:

Physical Review Letters
 Pub Date:
 June 1998
 DOI:
 10.1103/PhysRevLett.80.5243
 arXiv:
 arXiv:physics/9712001
 Bibcode:
 1998PhRvL..80.5243B
 Keywords:

 Mathematical Physics;
 Condensed Matter;
 High Energy Physics  Theory;
 Quantum Physics
 EPrint:
 5 pages, RevTex, 3 figures as epsf, as to appear in PRL