Quantum time and spatial localization: An analysis of the Hegerfeldt paradox

DOI10.1063/1.1286877zbMath0979.81027arXivphysics/9708030OpenAlexW3125632555MaRDI QIDQ2738174

Francis S. G. von Zuben

Publication date: 30 August 2001

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

Full work available at URL: https://arxiv.org/abs/physics/9708030

zbMATH Keywords

proper timesuperluminal propagationnonlocal in timeDirac's theory of constraintsNewton-Wigner position operatoraugmented Hilbert spaceinitial space-time pointsquantum time distributionstrictly positive energy

Mathematics Subject Classification ID

Covariant wave equations in quantum theory, relativistic quantum mechanics (81R20) Special relativity (83A05) Quantum measurement theory, state operations, state preparations (81P15) Constrained dynamics, Dirac's theory of constraints (70H45)

Related Items (6)

Quantum mechanics of Klein--Gordon-type fields and quantum cosmology. ⋮ Relativistic effects and rigorous limits for discrete- and continuous-time quantum walks ⋮ Comment on “Quantum time and spatial localization: An analysis of the Hegerfeldt paradox” [J. Math. Phys. 41, 6093 (2000)] ⋮ Relativistic spin operator must be intrinsic ⋮ Are particle and photon tunneling and filling in barriers local or non-local phenomena? ⋮ Quantum mechanics of Klein-Gordon fields. I: Hilbert space, localized states, and chiral symmetry

Cites Work

• Configuration Space Methods in Relativistic Quantum Field Theory. I
• Generalized Hamiltonian dynamics
• Time-of-arrival formalism for the relativistic particle
• Instantaneous spreading and Einstein causality in quantum theory
• Causality problems for Fermi’s two-atom system
• Quantum Theory of Radiation
• There Are No Causality Problems for Fermi's Two-Atom System
• Can Quantum-Mechanical Description of Physical Reality Be Considered Complete?
• Localized States for Elementary Systems
• Field and Charge Measurements in Quantum Electrodynamics
• An Operator Calculus Having Applications in Quantum Electrodynamics
• Dirac Bracket Transformations in Phase Space

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