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Diagrammatic Representations in Quantum Theories
Uppsala University, Disciplinary Domain of Science and Technology, Physics, Department of Physics and Astronomy, Theoretical Physics.
2013 (English)Independent thesis Basic level (degree of Bachelor), 10 credits / 15 HE creditsStudent thesis
Abstract [en]

Starting from a mathematical basis where one analyses and developing different techniques in how to solve and represent different kinds of integrals with diagrams. Representing the integrals as n-valent vertices and introducing propagators is a great tool that helps with the book-keeping of the solutions and will sometimes do the calculations redundant. The symmetries of diagrams are analysed and how one extracts the symmetry factors from looking at a diagram by using some fairly simple combinatorics and cleverness. Introducing the probability amplitude and do some analysis of the path integral formulation is the step into physics. Discussing experiments as the double-slit experiment and deriving the Schrödinger equation from the generating functional. Looking at diagrams in Quantum Mechanics and Quantum Field Theory will explore the use of the crucial understanding of our generators for the diagrams. This thesis makes use of the so called generating functional almost throughout and to connect the first discussed mathematics to real physical theories is the aim.

Place, publisher, year, edition, pages
2013. , 46 p.
Keyword [en]
Amplitudes, Feynman, diagrams, quantum, field, mechanics
National Category
Physical Sciences Other Physics Topics
URN: urn:nbn:se:uu:diva-201668OAI: oai:DiVA.org:uu-201668DiVA: diva2:628405
Educational program
Bachelor Programme in Physics
Physics, Chemistry, Mathematics
Available from: 2013-06-18 Created: 2013-06-13 Last updated: 2013-06-18Bibliographically approved

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