Experiments in PT-Symmetric Quantum Mechanics

Author： Znojil Miloslav  

Publisher： Springer Publishing Company

ISSN： 0011-4626

Source： Czechoslovak Journal of Physics, Vol.54, Iss.1, 2004-01, pp. : 151-156

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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 HFV might clarify experimental aspects of relativistic quantum mechanics.

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