Quantum Physics
Code  Completion  Credits  Range  Language 

01KF  Z,ZK  6  4+2  Czech 
 Lecturer:
 Václav Potoček (guarantor)
 Tutor:
 Michal Jex, Antonín Hoskovec
 Supervisor:
 Department of Physics
 Synopsis:

Basic quantum theory presented via rigorous mathematical methods.
 Requirements:

Basic course of Calculus and Linear Algebra (01MANA, 01MAA24, 01LALA, 01LAA2). Basic functional analysis course (01FAN, 01FA2, 01FA3).
 Syllabus of lectures:

1. States and observables.
2. Basic postolates of nonrelativistic quantum mechanics.
3. Mixed states.
4. Superselection rules.
5. Compatibility, complete sets of compatible observables.
6. Uncertainity relations.
7. Canonical commutation relations.
8. Time evolution.
9. Feynman integral.
10. Nonconservative systems.
11. Composed systems.
12. Identical particles.
 Syllabus of tutorials:

Exercise is devoted to illustrate lectures by good examples and complements by the other lecture topics.
 Study Objective:

To give graduates the basic quantum theory via mathematically correct formulations and methods. To emphasize rigorous formalism and its benefits when solving some concrete problems from quantum mechanics.
 Study materials:

Key references:
[1] J. Blank, P. Exner, M. Havlíček: Hilbert Space Operators in Quantum Physics, Springer, 2008.
Recommended references:
[2] G. Mackey: The mathematical foundations of quantum mechanics, Dover Publications, 2004.
 Note:
 Further information:
 No timetable has been prepared for this course
 The course is a part of the following study plans:

 Matematické inženýrství (elective course)
 Matematická fyzika (compulsory course of the specialization)