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.
Last update: Kapsa Vojtěch, RNDr., CSc. (09.02.2022)
Aim of the course
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.
Last update: Kapsa Vojtěch, RNDr., CSc. (09.02.2022)
Course completion requirements
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%).
Last update: Houfek Karel, doc. RNDr., Ph.D. (17.05.2024)
A. I. M. Rae, J. Napolitano, Quantum mechanics, sixth edition, CRC Press, 2016
L. E. Ballentine, Quantum mechanics: A modern development, World Scientific, 1998
J. Zamastil, J. Benda, T. Uhlířová: Quantum mechanics and electrodynamics, Springer, 2017
J. Coopersmith: The Lazy Universe : An Introduction to the Principle of Least Action, Oxford, 2017
Last update: Klimeš Jiří, Mgr., Ph.D. (18.04.2023)
Teaching methods
Students will be provided with the study materials and problem sets and it is expected that students will critically review those materials before exercises.
Last update: Kapsa Vojtěch, RNDr., CSc. (05.02.2022)
Requirements to the exam
The requirements for the exam correspond to the course syllabus to the extent that was given in the lectures.
Last update: Houfek Karel, doc. RNDr., Ph.D. (17.05.2024)
Syllabus
Newton and Lagrange mechanics
Action, variation principle, Noether’s theorem
Hamilton equations
Defining experiments of quantum mechanics, spin, entanglement
de Broglie and Schrödinger equation
Simple solvable 1D systems
Harmonic oscillator
Approximate methods
Angular momentum
Hydrogen atom
Atoms, molecules, and solids
Last update: Klimeš Jiří, Mgr., Ph.D. (18.04.2023)