Quantum Physics
Code  Completion  Credits  Range 

02KFA  Z,ZK  6  4P+2C 
 Lecturer:
 Igor Jex (guarantor), Václav Potoček
 Tutor:
 Igor Jex (guarantor), Václav Potoček
 Supervisor:
 Department of Physics
 Synopsis:

Outline of the lecture:
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 systéme
12. Identical particles
Outline of the exercises:
1. Spectral decompositions, particle on a finite interval
2. Yesno experiments
3. Position and momentum, mixed states
4. Conservative and nonconservative systems
5. Tensor product, composite systems, statistical operators
6. Second quantization
 Requirements:
 Syllabus of lectures:

Outline of the lecture:
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 systéme
12. Identical particles
Outline of the exercises:
1. Spectral decompositions, particle on a finite interval
2. Yesno experiments
3. Position and momentum, mixed states
4. Conservative and nonconservative systems
5. Tensor product, composite systems, statistical operators
6. Second quantization
 Syllabus of tutorials:

Outline of the exercises:
1. Spectral decompositions, particle on a finite interval
2. Yesno experiments
3. Position and momentum, mixed states
4. Conservative and nonconservative systems
5. Tensor product, composite systems, statistical operators
6. Second quantization
 Study Objective:

Knowledge:
To give graduates the basic quantum mechanics with a mathematically correct formulation.
Acquired skills:
Calculation of spektra of Hamiltonians and solution of other basic problems of quantum mechanics with rigorous mathematical methods.
 Study materials:

Key references:
[1] J.Blank, P.Exner, M.Havlicek: Hilbert Space Operators in Quantum Physics. Springer, 2008
Recommended references:
[2] G. Mackey: The mathematical foundations of quantum mechanics. Dover Publications, 2004
 Note:
 Timetable for winter semester 2020/2021:
 Timetable is not available yet
 Timetable for summer semester 2020/2021:
 Timetable is not available yet
 The course is a part of the following study plans: