Krein-Space Formulation of PT -Symmetry, CPT -Inner Products, and Pseudo-Hermiticity
نویسنده
چکیده
Emphasizing the physical constraints on the formulation of a quantum theory based on the standard measurement axiom and the Schrödinger 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. PACS number: 03.65.-w
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