Dec 1998
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1998aipc..453..167b&link_type=abstract
Particles, fields and gravitation. AIP Conference Proceedings, Volume 453, pp. 167-176 (1998).
Physics
Theory Of Quantized Fields, Lagrangian And Hamiltonian Approach, Solutions Of Wave Equations: Bound States
Scientific paper
In this talk we propose to broaden the conventional notion of quantum mechanics. In conventional quantum mechanics one imposes the condition H†=H, where † represents complex conjugation and matrix transpose, to ensure that the Hamiltonian has a real spectrum. Replacing this mathematical condition by the weaker and more physical requirement H‡=H, where ‡=PT represents combined parity reflection and time reversal, 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 talk describes the unusual classical and quantum properties of PT-symmetric quantum mechanical and quantum field theoretic models.
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