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Quantum mechanics is used to study field interactions from "summary" of The Quantum Theory of Fields by Steven Weinberg,Weinberg S

The study of field interactions lies at the heart of quantum mechanics. In this framework, fields are described by quantum mechanical operators acting on a Hilbert space, capturing both the wave-like and particle-like aspects of physical phenomena. The interactions between fields are governed by quantum field theory, which provides a mathematical formalism to analyze and predict the behavior of particles and forces at the most fundamental level. Quantum mechanics allows us to understand how fields interact and exchange energy and momentum through the emission and absorption of virtual particles. These interactions are mediated by force-carrying particles, such as photons for the electromagnetic force or gluons for the strong nuclear force. The quantization of these fields leads to the prediction of particle creation and annihilation processes, which can be described using Feynman diagrams to visualize the interactions between particles. By applying quantum mechanics to study field interactions, we can explore the fundamental forces of nature and their underlying sy...
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    The Quantum Theory of Fields

    Steven Weinberg

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