Non-Hermitian Quantum Theory and its Holomorphic Representation: Introduction and Applications

Abstract

This article contains a short summary of an oral presentation in the 2nd International Workshop on "Pseudo-Hermitian Hamiltonians in Quantum Physics" (14.-16.6.2004, Villa Lanna, Prague, Czech Republic). The purpose of the presentation has been to introduce a non-Hermitian generalization of pseudo-Hermitian Quantum Theory allowing to reconcile the orthogonal concepts of causality, Poincare invariance, analyticity, and locality. We conclude by considering interesting applications like non-Hermitian supersymmetry.

9 pages, no figures; invited contribution to the 2nd International Workshop on "Pseudo-Hermitian Hamiltonians in Quantum Physics", Villa Lanna, Prague, Czech Republic, June 14-16, 2004, to be published in the proceedings

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