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Path Integrals in Quantum Mechanics

Course Code :2002WETPQM
Study domain:Physics
Bi-anuall course:Taught in academic years starting in an odd year
Academic year:2020-2021
Semester:1st semester
Contact hours:30
Study load (hours):168
Contract restrictions: No contract restriction
Language of instruction:English
Exam period:exam in the 1st semester
Lecturer(s)Jacques Tempere

3. Course contents *

We start by explaining and introducing the concept of path integration, deriving it from the two-slit experiment, and contrast this approach to quantum mechanics with other approaches (namely the Schrodinger and Heisenberg approaches). Also the link with quantum statistical mechanics is explained.
In the second part, you learn techniques to calculate path integrals. We take a close look at: the exact solutions for quadratic path integrals, fourier methods, the WKB method, and the method of images. We solve a number of representative cases, that serve as references for later use.
In the third part, you pick a specific specialized topic (eg. superfluidity in liquid helium, the Aharanov-Bohm effect and particles on a ring, the Duru-Kleinert description of the hydrogen atom, relativistic particles) and explore how path integrals are used in these more complicated, real-life examples. You report on your study through a didactic presentation for your other students, so they can also understand this topic.