Fields and Quantum Mechanics
Glenn Eric Johnson
TL;DR
This paper discusses the construction of quantum field theories that approximate certain scattering phenomena, highlighting limitations in polarization constraints and deviations at high momentum exchanges, and explores interpretational issues in quantum mechanics.
Contribution
It introduces a construction of quantum field theories with specific phenomenological approximations and analyzes their limitations and interpretational implications.
Findings
Photon states constrained to transverse polarizations
Deviations in cross sections at large momentum exchanges
Incompatibility of canonical quantization with constructed fields
Abstract
The quantum field theories (QFT) constructed in [1,2] include phenomenology of interest. The constructions approximate: scattering by 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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Taxonomy
TopicsQuantum Mechanics and Applications · Quantum Information and Cryptography · Algebraic and Geometric Analysis