Born's rule for arbitrary Cauchy surfaces

DOI10.1007/s11005-019-01239-yzbMath1436.81016arXiv1706.07074OpenAlexW3101134550WikidataQ126787386 ScholiaQ126787386MaRDI QIDQ1986550

Matthias Lienert, Roderich Tumulka

Publication date: 8 April 2020

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

Full work available at URL: https://arxiv.org/abs/1706.07074

zbMATH Keywords

spacelike hypersurfacedetection probabilityTomonaga-Schwinger equationparticle detectorinteraction localitymulti-time wave function

Mathematics Subject Classification ID

General and philosophical questions in quantum theory (81P05) Relativistic cosmology (83F05) Covariant wave equations in quantum theory, relativistic quantum mechanics (81R20) Quantum measurement theory, state operations, state preparations (81P15) Quantum state spaces, operational and probabilistic concepts (81P16)

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Cites Work

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• External field QED on Cauchy surfaces for varying electromagnetic fields
• Multi-time wave functions for quantum field theory
• Distribution of the time at which an ideal detector clicks
• Quantum Hamiltonians and stochastic jumps
• Consistency of multi-time Dirac equations with general interaction potentials
• A simple explicitly solvable interacting relativistic N-particle model
• On the question of current conservation for the two-body Dirac equations of constraint theory
• Bohmian Mechanics
• Dirac Quantum Fields on a Manifold
• Instantaneous spreading and Einstein causality in quantum theory
• Bell-type quantum field theories
• Flux-across-surfaces theorem for a Dirac particle
• A relativistically interacting exactly solvable multi-time model for two massless Dirac particles in 1 + 1 dimensions
• Multi-time equations, classical and quantum
• Multi-time formulation of pair creation
• Multi-time Schrödinger equations cannot contain interaction potentials
• Quantum Electrodynamics. I. A Covariant Formulation
• On a Relativistically Invariant Formulation of the Quantum Theory of Wave Fields*
• General Relativity
• Long-time asymptotics of a Bohmian scalar quantum field in de Sitter space-time