Path Integral
Code  Completion  Credits  Range 

D02MDI  ZK 
 Lecturer:
 Tutor:
 Supervisor:
 Department of Physics
 Synopsis:

Evolution kernel, Trotter product formula and configurationspace path integral, elementary properties of path integrals and simple solutions (e.g., free particle, harmonic oscillator, BohmAharonov effect), semiclassical timeevolution amplitude (WKB approximation) and its application to the anharmonic oscillator, variational perturbative theory and its application to the double well potential, Green functions and the FeynmanKac formula, phasespace path integrals, coherent state representation and Klauder?s path integral, Wick rotation and Euclidean path integrals, simple applications in statistical physics.
 Requirements:

basics of quantum mechanics and Dirac's formalism
 Syllabus of lectures:

1. Evolution kernel and Trotter product formula
2. configurationspace path integral
3.4. simple solutions (free particle, harmonic oscillator, BohmAharonov effect)
5. WKB approximation and its application to the anharmonic oscillator
6. variational perturbative theory and its application to the double well potential
7.8. Green functions and the FeynmanKac formula
9.10. coherent state representation and Klauder's path integral
11.12. Euclidean path integrals and applications in statistical physics
 Syllabus of tutorials:

Exercise classes represent an integral part of the actual lecture. Whenever some logically consistent part of the lecture is finished, the students are asked to demonstrate their understanding in front of a blackboard. Inasmuch, the content of the exercise classes is identical with the content of the lecture.
 Study Objective:
 Study materials:

 R.P.Feynman and A.R.Hibbs, Quantum Mechanics and Path Integrals, (McGraw Hill, New York, 1965)
 L.S.Schulman, Techniques and Applications of Path Integration, (WileyInterscience, New York, 1981)
 H.Kleinert, Path Integrals in Quantum Mechanics, Statistics, Polymer Physics, and Finacial Markets, (World Scientific Publishing, London, 2004)
 Note:
 Further information:
 No timetable has been prepared for this course
 The course is a part of the following study plans: