Quantum physics

Lecturer:

Petr Jizba (gar.), Libor Šnobl (gar.)

Tutor:

Petr Jizba (gar.), Libor Šnobl (gar.), Jiří Hrivnák

Supervisor:

Department of Physics

Synopsis:

State description, wave function, postulates of quantum mechanics, Born´s statistical interpretation, expectation values, Schrödinger equation, Heisenberg uncertainty principle, quantization of angular momentum, solution of simple systems, hydrogen atom.

Requirements:

Knowledge of linear algebra, probability theory, theoretical physics and calculus at the level of third-year CTU undergraduates is expected.

Syllabus of lectures:

1.Experiments leading to the formulation of QM

2.De Broglie's conjecture, Schroedinger's equation

3.Description of states and observables in QM

4.Harmonic oscilator

5.Quantization of angular momentum

6.Particle in spherically symmetric potential. Coulomb field.

7.Mean values of observables and transition probabilities

8.Time evolution of states

9.Particle in the electromagnetic field. Spin

10.Many particle systems, bosons and fermions

11.Quantum tunneling

Syllabus of tutorials:

Deepening the knowledge by explicit solution of problems related to

1. Schroedinger's equation

2.Description of states and observables in QM

3.Harmonic oscilator

4.Quantization of angular momentum

5.Particle in spherically symmetric potential. Coulomb field.

6.Mean values of observables and transition probabilities

7.Time evolution of states

8.Particle in the electromagnetic field. Spin

9.Many particle systems, bosons and fermions

11.Quantum tunneling

Study Objective:

knowledge:

essential notions and structures of quantum mechanics, description of simple quantum systems

abilities:

computation of expectation values of observables and of time evolution

Study materials:

Key references:

-P.A.M.Dirac, The Principles of Quantum Mechanics, Fourth ed., (Cambridge University Press, Cambridge, 1958)

Recommended references:

-A.Messiah, Quantum Mechanics, Two Volumes Bound as One, (Dover Publications, New York, 1999)

-J.J.Sakurai, Modern Quantum Mechanics, (Addison-Wesley, Reading, 1996)

- P.V. Landshoff, A. Metherell, W. G. Rees, Essential Quantum Physics, CUP 2010.

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: