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Fields and Quantum Mechanics

2013/12/09 by G.E. Johnson, Johnson, Glenn Eric
Computer Science · Mathematics · Physics and Astronomy · #Algebraic and Geometric Analysis #FOS: Physical sciences #Mathematical Physics (math-ph) #Quantum Information and Cryptography #Quantum Mechanics and Applications

paper · pdf · doi:10.48550/arxiv.1312.2608

openalex publication_date 2013/12/09 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

The quantum field theories (QFT) constructed in [1,2] include phenomenology of interest. The constructions approximate: scattering by 1/r and Yukawa potentials in non-relativistic approximations; and the first contributing order of the Feynman series for Compton scattering. To have a semi-norm, photon states are constrained to transverse polarizations and for Compton scattering, the constructed cross section deviates at large momentum exchanges from the cross section prediction of the Feynman rules. Discussion includes the incompatibility of canonical quantization with the constructed interacting fields, and the role of interpretations of quantum mechanics in realizing QFT.

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