Quantum Physics

Course guarantor:

Petr Jizba, Filip Petrásek

Lecturer:

Filip Petrásek

Tutor:

Filip Petrásek

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:

1. Regular attendance with a maximum of 2 unexcused absences.

2. Presentation of credit examples at the blackboard after detailed home preparation with the possibility of consultation during the semester.

3. The exam includes 4 numerical examples during the exam period.

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

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:

[1] J. Formánek, Úvod do kvantové teorie, I.+II. díl, (Academie, Praha, 2004)

[2] D.J. Griffiths, Introduction to Quantum Mechanics, (Cambridge University Press, Cambridge, 2016)

Recommended references:

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

[4] J.J.Sakurai and J.J.Napolitano,

Modern Quantum Mechanics, Modern Quantum Mechanics, (Pearsony, Harlow, 2013)

[5] P.V. Landshoff, A. Metherell, W. G. Rees, Essential Quantum Physics, Cambridge University Press, Cambridge, 2010)

Note:

Time-table for winter semester 2025/2026:

Time-table is not available yet

Time-table for summer semester 2025/2026:

Time-table is not available yet

The course is a part of the following study plans:

• Jaderné inženýrství - Aplikovaná fyzika ionizujícího záření (PS)
• Jaderné inženýrství - Jaderné reaktory (PS)
• Radiolgická fyzika (compulsory course in the program)