Physical Meaning of Hermiticity and Shortcomings of the Composite (Hermitian + non-Hermitian) Quantum Theory of Gunther and Samsonov
arXiv:0709.1756
Abstract
In arXiv:0709.0483 Gunther and Samsonov outline a ``generalization'' of quantum mechanics that involves simultaneous consideration of Hermitian and non-Hermitian operators and promises to be ``capable to produce effects beyond those of standard Hermitian quantum mechanics.'' We give a simple physical interpretation of Hermiticity and discuss in detail the shortcomings of the above-mentioned composite quantum theory. In particular, we show that the corresponding ``generalization of measurement theory'' suffers from a dynamical inconsistency and that it is by no means adequate to replace the standard measurement theory.
6 pages
References in corpus (5)
- Faster than Hermitian Quantum Mechanics
- Quantum Brachistochrone Problem and the Geometry of the State Space in Pseudo-Hermitian Quantum Mechanics
- The PT-symmetric brachistochrone problem, Lorentz boosts and non-unitary operator equivalence classes
- Krein-Space Formulation of PT-Symmetry, CPT-Inner Products, and Pseudo-Hermiticity
- Comment on Complex Extension of Quantum Mechanics