Excerpt

Quantum Field Theory is the framework of all Quantum models in Quantum Physics and Theoretical Physics. It goes on the bases of having many bodies in the form of condensed matter. This helps us realize what we are made of, how the universe works, and what builds us up. These fundamentals are important in understanding the world around us, which is what science is meant to do. Particle Physics itself is revised by theories in Quantum Field Theory. This also sheds light on the area of both Quantum Mechanics and Elementary Physics. In the field Quanta there are ripples of matter and specs of atoms that make up this universe. These theories have been proved many times in history on the basis of Socrates Atomism Theory, Feynman’s Diagram of Quantum Structures, Maxwell’s Equation, The Multiverse Theory, General Relativity, and Alfred Morgan’s Theory of Continuations in Fluid Mechanics. This belief in Quantum Field Theory also brings the belief on Gluons which are particles that exchange forces between Quarks in the Quantum model. Quarks are the constituents of matter that form hadrons when interacted between the forces of Gluons.

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The Dirac Equation is written as:

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- ψ = ψ(x, *t*) is a complex four-component field thought to be the wave function on an electron

- x and *t* are the coordinates of space and time,

- *m* is equal to the rest mass of an electron,

- *p* is momentum, which is the momentum operator in Schrödinger’s theory,

- *c* is the speed of light, while the formation *ħ* = *h* /2 *π* is reduced as Planck constant.

Modern Textbooks write the Dirac Equation as:

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However the way modern textbooks wrote Dirac’s equation is an estimate on the real equation itself, not the actual value stated in Dirac’s original equation. This makes the modern textbooks’ version slightly less accurate.

Canonical Quantization in field theory is known to be the analogous to construction of Classical mechanics as compared to Quantum mechanics as well. The canonical function represents space and time and stays at a specific momentum controlled by gravity. This can lead to the theory of multiple derivatives in the measure of gravity depending on specific location, which matches as being proven by General Relativity. This can also result in a measuring of covariant results in Quantization which is measure of space and time in which it chooses a Hamiltonian structure. A Hamiltonian structure is known as the operator of energy in a Quantum System.

This can be viewed using the formation of Schrödinger’s wave mechanics and a view of kinetic energy and momentum in the equation as follows: ,

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which can then be formalized to:

This is extended to N being the measurement with V being potential Energy and M denoting the mass of particles, and then this equation will be equal to:

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This means that for non-interacting particles then the equation is being represented as:

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Schrödinger’s measurement of space and time is then viewed as:

which in Dirac’s formulation as measure of eigenvectors denoting at a in the spectrum of energy levels being allowed, the equation can then be viewed as:

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**[...]**

- Quote paper
- Andrew Magdy Kamal (Author), 2013, Quantum Field Theory, A Theoretical Framework, Munich, GRIN Verlag, https://www.grin.com/document/230367

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