Real Spectra in Non-Hermitian Hamiltonians Having PT Symmetry

Details Real Spectra in Non-Hermitian Hamiltonians Having PT Symmetry Real Spectra in Non-Hermitian Hamiltonians Having PT Symmetry

1997-11-29

arxiv.org/abs/physics/9712001v3

Phys.Rev.Lett. 80 (1998) 5243-5246

Physics

Mathematical Physics

5 pages, RevTex, 3 figures as epsf, as to appear in PRL

Scientific paper

10.1103/PhysRevLett.80.5243

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.

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