Quantum Mechanics 2
Code | Completion | Credits | Range | Language |
---|---|---|---|---|
02KVAN2 | Z,ZK | 4 | 2P+2C | Czech |
- Garant předmětu:
- Lecturer:
- Tutor:
- Supervisor:
- Department of Physics
- Synopsis:
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Introduction to more advanced topics in quantum mechanics. General formalism of quantum theory, approximate methods and path integral.
- Requirements:
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02 KVAN Quantum Mechanics
- Syllabus of lectures:
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1) Addition of angular momenta, tensor operators
2) Various representations of quantum theory
3) Density matrix
4) JWKB approximation
5) Variational method
6) Time-dependent perturbation theory
7) Propagator, Green function
8) Path integral in quantum mechanics
9) Perturbative expansion of path integral, Feynman diagrams
10) Path integral description of scattering
11) Occupation numbers, annihilation and creation operators, Fock space
12) Brief review of quantum field theory
- Syllabus of tutorials:
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Solution of topical problems in
1) Addition of angular momenta, tensor operators
2) Various representations of quantum theory
3) Density matrix
4) JWKB approximation
5) Variational method
6) Time-dependent perturbation theory
7) Propagator, Green function
8) Path integral in quantum mechanics
9) Perturbative expansion of path integral, Feynman diagrams
10) Path integral description of scattering
11) Occupation numbers, annihilation and creation operators, Fock space
- Study Objective:
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Knowledge:
Introduction to more advanced topics in quantum mechanics.
Abilities:
Application of general formalism of quantum theory, approximation methods and path integral
- Study materials:
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Key references:
[1] P.A.M. Dirac, Principles of Quantum Mechanics, Oxford University Press, Oxford 1958.
Recommended references:
[2] L. D. Faddeev and O. A. Yakubovskii: Lectures on Quantum Mechanics for Mathematics Students (Student Mathematical Library), AMS 2009.
[3] A.Messiah, Quantum Mechanics, Two Volumes Bound as One, (Dover Publications, New York, 1999).
[4] L. H. Ryder, Quantum Field Theory, Cambridge University Press, Cambridge 1996.
- Note:
- Further information:
- No time-table has been prepared for this course
- The course is a part of the following study plans:
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- BS Matematické inženýrství - Matematická fyzika (compulsory course of the specialization)