Quantum physics

Lecturer:

Miloslav Havlíček (gar.), Severin Pošta

Tutor:

Miloslav Havlíček (gar.), Severin Pošta

Supervisor:

Department of Mathematics

Synopsis:

Basic quantum theory presented via rigorous mathematical methods.

Requirements:

Basic course of Calculus and Linear Algebra (in the extent of the courses 01MA1, 01MAA2-4, 01LAP, 01LAA2 held at the FNSPE CTU in Prague).

Syllabus of lectures:

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

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 mechanics with a mathematically correct formulation.

Study materials:

Key references: J.Blank,P.Exner,M.Havlicek:Hilbert Space Operators in Quantum Physics.Springer,2008

Recommended references: George Mackey (2004). The mathematical foundations of quantum mechanics. Dover Publications. ISBN 0-486-43517-2.

Note:

Time-table for winter semester 2011/2012:

Time-table is not available yet

Time-table for summer semester 2011/2012:

Time-table is not available yet

The course is a part of the following study plans: