Quantum Physics

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 non-relativistic 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. Non-conservative systems

11. Composed systéme

12. Identical particles

Outline of the exercises:

1. Spectral decompositions, particle on a finite interval

2. Yes-no experiments

3. Position and momentum, mixed states

4. Conservative and non-conservative 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 non-relativistic 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. Non-conservative systems

11. Composed systéme

12. Identical particles

Outline of the exercises:

1. Spectral decompositions, particle on a finite interval

2. Yes-no experiments

3. Position and momentum, mixed states

4. Conservative and non-conservative 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. Yes-no experiments

3. Position and momentum, mixed states

4. Conservative and non-conservative 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:

Time-table for winter semester 2020/2021:

Time-table is not available yet

Time-table for summer semester 2020/2021:

Time-table is not available yet

The course is a part of the following study plans: