Krein-Space Formulation of PT-Symmetry, CPT-Inner Products, and Pseudo-Hermiticity
arXiv:quant-ph/0606173 · doi:10.1007/s10582-006-0388-8
Abstract
Emphasizing the physical constraints on the formulation of a quantum theory based on the standard measurement axiom and the Schroedinger equation, we comment on some conceptual issues arising in the formulation of PT-symmetric quantum mechanics. In particular, we elaborate on the requirements of the boundedness of the metric operator and the diagonalizability of the Hamiltonian. We also provide an accessible account of a Krein-space derivation of the CPT-inner product that was widely known to mathematicians since 1950's. We show how this derivation is linked with the pseudo-Hermitian formulation of PT-symmetric quantum mechanics.
published version, 17 pages
References in corpus (3)
Cited by in corpus (12)
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