Quantum particle localization observables on Cauchy surfaces of Minkowski spacetime and their causal properties

DOI10.1007/S11005-024-01817-9MaRDI QIDQ6561406

Carmine De Rosa, Valter Moretti

Publication date: 25 June 2024

Published in: Letters in Mathematical Physics (Search for Journal in Brave)

zbMATH Keywords

Klein-Gordon equationCauchy surfacestress-energy tensorpositive-definite kernelpositive-operator-valued measuresHegerfeldt theoremNewton-Wigner localizationrelativistic quantum localization

Mathematics Subject Classification ID

General and philosophical questions in quantum theory (81P05) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Quantum measurement theory, state operations, state preparations (81P15) Logical foundations of quantum mechanics; quantum logic (quantum-theoretic aspects) (81P10)

Cites Work

• Title not available (Why is that?)
• Title not available (Why is that?)
• Title not available (Why is that?)
• Quantum measurement
• Wave equations on Lorentzian manifolds and quantization.
• Further results on the smoothability of Cauchy hypersurfaces and Cauchy time functions
• Applied functional analysis. Functional analysis, Sobolev spaces and elliptic differential equations
• Born's rule for arbitrary Cauchy surfaces
• Another proof of Born's rule on arbitrary Cauchy surfaces
• The notion of observable and the moment problem for \(*\)-algebras and their GNS representations
• Quantum fields and local measurements
• Generally covariant \(N\)-particle dynamics
• On smooth Cauchy hypersurfaces and Geroch's splitting theorem
• Incompatibility of frequency splitting and spatial localization: a quantitative analysis of Hegerfeldt's theorem
• Introduction to Smooth Manifolds
• Spectral Theory and Quantum Mechanics
• Unsharp localization and causality in relativistic quantum theory
• Causal localizations in relativistic quantum mechanics
• Localized States for Elementary Systems
• On the relativistic spatial localization for massive real scalar Klein-Gordon quantum particles
• Causal localizations of the massive scalar Boson

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