Antilinearity rather than Hermiticity as a guiding principle for quantum theory

DOI10.1088/1751-8121/aac035zbMath1414.81125arXiv1512.04915OpenAlexW2962848079WikidataQ129909750 ScholiaQ129909750MaRDI QIDQ4689456

Philip D. Mannheim

Publication date: 16 October 2018

Published in: Journal of Physics A: Mathematical and Theoretical (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1512.04915

zbMATH Keywords

PT symmetryCPT theoremantilinearity

Mathematics Subject Classification ID

General and philosophical questions in quantum theory (81P05) Axiomatic quantum field theory; operator algebras (81T05) Finite-dimensional groups and algebras motivated by physics and their representations (81R05) Jordan structures on Banach spaces and algebras (17C65) Nonselfadjoint operator theory in quantum theory including creation and destruction operators (81Q12)

Related Items (7)

Comparing light-front quantization with instant-time quantization ⋮ Structure of conformal gravity in the presence of a scale breaking scalar field ⋮ Determining the normalization of the quantum field theory vacuum, with implications for quantum gravity ⋮ Analytic structure of the associated Legendre functions of the second kind ⋮ Goldstone bosons in different PT-regimes of non-Hermitian scalar quantum field theories ⋮ The initial value problem for gravitational waves in conformal gravity ⋮ Ghost problems from Pauli–Villars to fourth-order quantum gravity and their resolution

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