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Experiments in PT-Symmetric Quantum Mechanics

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Czechoslovak Journal of Physics Aims and scope

Abstract

Extended quantum mechanics using non-Hermitian (pseudo-Hermitian) Hamiltonians H = H ‡ is briefly reviewed. A few related mathematical experiments concerning supersymmetric regularizations, solvable simulations and large-N expansion techniques are summarized. We suggest that they could initiate a deeper study of nonlocalized structures (quasi-particles) and/or of their unstable and many-particle generalizations. Using the Klein-Gordon example for illustration, we show how the PT symmetry of its Feshbach-Villars Hamiltonian H FV might clarify experimental aspects of relativistic quantum mechanics.

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Authors and Affiliations

  1. Institute of Nuclear Physics, Acad. Sci. CR, 250 68, Řež, Czech Republic

    Miloslav Znojil

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  1. Miloslav Znojil
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Znojil, M. Experiments in PT-Symmetric Quantum Mechanics. Czechoslovak Journal of Physics 54, 151–156 (2004). https://doi.org/10.1023/B:CJOP.0000014381.75864.f0

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