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Quantum physics - course description

General information
Course name Quantum physics
Course ID 13.2-WF-FizD-QP-S17
Faculty Faculty of Physics and Astronomy
Field of study WFiA - oferta ERASMUS
Education profile -
Level of studies Erasmus programme
Beginning semester winter term 2023/2024
Course information
Semester 2
ECTS credits to win 6
Available in specialities Physics
Course type obligatory
Teaching language english
Author of syllabus
  • prof. dr Zbigniew Ficek
  • dr hab. Sylwia Kondej, prof. UZ
Classes forms
The class form Hours per semester (full-time) Hours per week (full-time) Hours per semester (part-time) Hours per week (part-time) Form of assignment
Class 30 2 - - Credit with grade
Lecture 30 2 - - Exam

Aim of the course

To teach students advanced methods of quantum physics and their applications.

Prerequisites

Knowledge of the basic concepts quantum physics, covered in the undergrad course "Quantum mechanics foundations".

Scope

- Basic concepts of quantum physics. Non-relativistic Schrodinger equation - Revisited.

- Multidimensional potential wells: Quantum wires and quantum dots.

- Density operator and its representations.

- Matrix representations and their applications.

- Electron spin. Pauli matrices and their applications.

- Quantum dynamics and pictures. Unitary transformations.

- Quantum harmonic oscillator. Annihilation and creation operators and their algebra.

- Quantum theory of two particles.

- Interaction of simple quantum systems with external fields. Zeeman and Stark effects. Diagonalization of the interaction Hamiltonian. Dressed states.

- Quantum model of two interacting systems. Entangled states.

- Time independent perturbation theory.

- Time dependent perturbation theory. Fermi golden rule.

- Entropy in quantum physics.

- Relativistic Schrodinger equation: Klein-Gordon equation.

- Dirac equation. Negative energy states. Spinors.

Teaching methods

Two hours per week are scheduled for lectures and two hours for tutorials. Lectures will cover the formal course content. Tutorials, solving problems and exercises on topics related to the lectures.

Learning outcomes and methods of theirs verification

Outcome description Outcome symbols Methods of verification The class form

Assignment conditions

Lectures: Final written exam. To obtain a passing grade student should provide correct answer to at least 2/3 of questions.

Tutorial: Activity during the tutorial hours demonstrating the ability of solving tutorial problems and a positive grade of the final test. Before taking the final lecture examination the student needs to obtain passing grade of the tutorials.

The final grade: the arithmetic average of the tutorial and lecture examination grades.

Recommended reading

1. E. Merzbacher, Quantum Mechanics, (Wiley, New York, 1998).

2. R. Eisberg and R. Resnick, Quantum Physics of Atoms, Molecules, Solids, Nuclei, and Particles, (Wiley, New York, 1985).

3. D. J. Griffiths and  D. F. Schroeter,  Introduction to Quantum Mechanics  (Cambridge University Press, 2021).

4.  C. Cohen-Tannoudji, B. Diu, F. Laloe, Quantum Mechanics: Volume I: Basic Concepts, Tools, and Applications, Volume II: Angular Momentum, Spin, and Approximation Methods, (Wiley-VCH, 2019).
 

Further reading

1. A. S. Davydov, Quantum Mechanics, (Pergamon, Oxford, 2013).

2. L. I. Schiff, Quantum mechanics, (McGraw-Hill, New York, 2010).

3. N. Zettili, Quantum Mechanics - Concepts and Applications (Wiley, 2022).

Notes


Modified by dr hab. Maria Przybylska, prof. UZ (last modification: 30-04-2023 17:20)