Understanding Feynman Diagrams and Perturbation Theory in Quantum Physics
Explore the concepts of Feynman diagrams and perturbation theory in quantum mechanics and quantum field theory. Learn about their motivations, applications in experimental physics, and graphical representations for simplifying complex calculations.
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Presentation Transcript
Outline Motivation Feynman integral Pertubation Thoery in Quantum Mechanics Pertubation Thoery in Quantum Field Theory Green Function Feynman Diagram Experimental Connection
Motivation Compared with experiments Amplitude of final states from collision of two initial particles Cross section of collision Graphical representation and simplicity
Pertubation Thoery in Quantum Mechanics Idea of Pertubation theory H = H_0 + H_I Acquire information from H_0 Getting new eigenvector
Pertubation Thoery in Quantum Mechanics Dyson series How wave function evolute by time when H = H_0 + H_I
Pertubation Thoery in Quantum Field Theory Idea of Quantum Field Theory Number of particle Take particle and wave as the same Solution (Feynman path integral approach)
Pertubation Thoery in Quantum Field Theory <final| exp( int_ (dt H_I)) |initial>
Green function Ideal of Green function Two point Green function Four point Green function as combination of two point green function
Green function Ideal of Green function Four point Green function as combination of two point green function
Feynman Diagram Green function + time evolution of field Graphical representation
Feynman Diagram Feynman rule: example of lampta Phy^4 theory
Feynman Diagram Re-intepretation of anti-particle Anti-particle in Dirac equation Anti-charge and positive energe
Experimental Connection Cross section What s cross section? Connection of cross section and experiment
Experimental Connection Calculating cross section Amplitude Cross section
