Mathematical and Applied Foundations of Subatomic Physics: Quantum Operator Formalism, Electroweak Symmetry Breaking, Relativistic Beam Dynamics, and Nuclear Reactor Kinetics
Year: 2026
Type: article
Abstract: This monograph establishes a unified mathematical and applied framework connecting foundational quantum mechanics, electroweak field theory, relativistic particle accelerator physics, and nuclear reactor kinetics. Starting from the operator formalism of quantum mechanics, we provide rigorous derivations of the Schrödinger equation, canonical commutation relations, the Robertson-Kennard uncertainty principle, and exact solutions for the quantum harmonic oscillator. We then extend this framework to quantum field theory, detailing the SU(2)_L x U(1)_Y electroweak symmetry breaking via the Higgs mechanism, vector boson mass generation, Yukawa couplings, and LHC decay channels. Moving to high-energy engineering, relativistic beam dynamics and synchrotron radiation power losses are formulated alongside CERN LHC design parameters. Finally, nuclear fission kinetics are modeled through the Six-Factor Formula, Point Reactor Kinetics equations with delayed neutron precursors, and Rankine cycle enthalpy balances. This work bridges fundamental theoretical subatomic physics with applied energy technologies.
Author: Mehmet Ali Tavukçuoğlu
Language: English
Subfield: Nuclear and High Energy Physics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W7214462325