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MATH 6629 - Mechanics of Interacting Particles (not offered in 2024-2025)

Course Name: 
Mechanics of Interacting Particles
Course Code: 
MATH 6629
Course Credits: 
4
Level: 
Graduate
Prerequisites: 
MATH6627, MATH6628
Course Description: 

The course gives an up-to-date and modern overview of the main concepts in the Mechanics of interacting particles. Starting with an introduction to Newtonian mechanics and the Lagrangian/Hamiltonian formalism the course continues with an axiomatic approach to Quantum Mechanics. Path integrals and path integral quantization of Bosonic and Fermionic particles are also treated. A short introduction to Gauge Theories and the Higgs field is given at the end of the course.

Content: 
Analytical Mechanics; Quantum Mechanics; Path integral quantization of Bose and Dirac particles; Quantization of a Dirac and scalar field; Gauge theories.
Assessment: 
The course assessment has two components consisting of coursework (40%) and a final exam (60%): One in-course test - 20% of overall grade; One group project - 20% of overall grade; Final exam - 60% of overall grade
Categoryofcourses: 
Typeofcourse: 
Electives
coursedegree: 
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