Phys. Rev. Lett. 80, 5243–5246 (1998)Real Spectra in Non-Hermitian Hamiltonians Having PT SymmetryReceived 1 December 1997; revised 9 April 1998; published in the issue dated 15 June 1998 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 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. © 1998 The American Physical Society URL:
http://link.aps.org/doi/10.1103/PhysRevLett.80.5243
DOI:
10.1103/PhysRevLett.80.5243
PACS:
03.65.Ge, 02.60.Lj, 11.30.Er
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