Real Spectra in Non-Hermitian Hamiltonians Having<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi mathvariant="bold-script">P</mml:mi><mml:mi mathvariant="bold-script">T</mml:mi></mml:math>Symmetry

M. Bender, Carl; Boettcher, Stefan

doi:10.1103/physrevlett.80.5243

Public

Real Spectra in Non-Hermitian Hamiltonians HavingPTSymmetry

Published in Physical Review Letters • Jun 15, 1998

Authors:

Carl M. Bender

Stefan Boettcher

Abstract

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 $\mathrm{PT}$ symmetry, one obtains new infinite classes of complex Hamiltonians whose spectra are also real and positive. These $\mathrm{PT...

Subject

Hamiltonian (control theory)

Hermitian matrix

Physics

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