Experiments in PT-symmetric quantum mechanics

Physics – Quantum Physics

Scientific paper

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talk presented during the 1st Int. Workshop ``Pseudo-Hermitian Hamiltonians in Quantum Physics" (Prague, June 16-17, 2003)(rev

Scientific paper

10.1023/B:CJOP.0000014381.75864.

Extended quantum mechanics using non-Hermitian, pseudo-Hermitian Hamiltonians is briefly reviewed. Supersymmetric regularizations, solvable simulations and large-N expansion techniques are recollected as suitable means for the study of non-local quasi-particles. Their many-particle or even, perhaps, unstable and decaying generalizations are also considered. Picking up the Klein-Gordon equation and its Feshbach-Villars' Hamiltonian for definiteness, we argue that the PT symmetry might help to clarify experimental aspects of relativistic quantum mechanics.

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