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Faster than Hermitian time evolution.

Bender, Carl M. — 2007

SIGMA. Symmetry, Integrability and Geometry: Methods and Applications [electronic only]

Properties of non-hermitian quantum field theories

Carl M. Bender — 2003

Annales de l’institut Fourier

In this paper I discuss quantum systems whose Hamiltonians are non-Hermitian but whose energy levels are all real and positive. Such theories are required to be symmetric under $𝒞 𝒫 𝒯$ , but not symmetric under $𝒫$ and $𝒯$ separately. Recently, quantum mechanical systems having such properties have been investigated in detail. In this paper I extend the results to quantum field theories. Among the systems that I discuss are $- φ^{4}$ and $i φ^{3}$ theories. These theories all have unexpected and remarkable properties. I discuss...

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