Principles of Physics III - Quantum Mechanics - NBCM241

• Title: Principles of Physics III - Quantum Mechanics
• Guaranteed by: Department of Chemical Physics and Optics (32-KCHFO)
• Faculty: Faculty of Mathematics and Physics
• Actual: from 2022
• Semester: winter
• E-Credits: 5
• Hours per week, examination: winter s.:2/2, C+Ex [HT]
• Capacity: unlimited
• Min. number of students: unlimited
• 4EU+: no
• Virtual mobility / capacity: no
• State of the course: not taught
• Language: English
• Teaching methods: full-time
• Teaching methods: full-time
• Guarantor: Mgr. Jiří Klimeš, Ph.D.

Annotation

Last update: RNDr. Vojtěch Kapsa, CSc. (09.02.2022)

The course Basic Principles of Physics III is the third course in the physics series of the program Science. It provides an introduction to advanced classical mechanics and quantum mechanics. The relevance of quantum-mechanical model systems to chemistry and biology will be also discussed.

Aim of the course

Last update: RNDr. Vojtěch Kapsa, CSc. (09.02.2022)

The aim is to consolidate the knowledge of quantum mechanics gained in chemistry courses and develop the mathematical and physical apparatus needed to apply quantum mechanics to simple systems.

Literature

Last update: Mgr. Jiří Klimeš, Ph.D. (18.04.2023)

1. The Feynman Lectures on Physics, Volume III: Quantum Mechanics, online: https://www.feynmanlectures.caltech.edu/III_toc.html
2. A. I. M. Rae, J. Napolitano, Quantum mechanics, sixth edition, CRC Press, 2016
3. L. E. Ballentine, Quantum mechanics: A modern development, World Scientific, 1998
4. J. Zamastil, J. Benda, T. Uhlířová: Quantum mechanics and electrodynamics, Springer, 2017
5. J. Coopersmith: The Lazy Universe : An Introduction to the Principle of Least Action, Oxford, 2017

Teaching methods

Last update: RNDr. Vojtěch Kapsa, CSc. (05.02.2022)

Students will be provided with the study materials and problem sets and it is expected that students will critically review those materials before exercises.

Requirements to the exam

Last update: RNDr. Vojtěch Kapsa, CSc. (05.02.2022)

The final mark is based on the oral examination (67%) and the results of tests taken during the course (33%). The oral examination takes place during the examination period and students must first obtain the credit for practical exercises. Credit for exercises is based on the solution of take-home problems (34%) and two tests (midterm and final, each 33%).

Syllabus

Last update: Mgr. Jiří Klimeš, Ph.D. (18.04.2023)

1. Newton and Lagrange mechanics
2. Action, variation principle, Noether’s theorem
3. Hamilton equations
4. Defining experiments of quantum mechanics, spin, entanglement
5. de Broglie and Schrödinger equation
6. Simple solvable 1D systems
7. Harmonic oscillator
8. Approximate methods
9. Angular momentum
10. Hydrogen atom
11. Atoms, molecules, and solids