Quantum Mechanics
Course: Physics
Structural unit: Faculty of Physics
Title
Quantum Mechanics
Code
ОК 16.
Module type
Обов’язкова дисципліна для ОП
Educational cycle
First
Year of study when the component is delivered
2021/2022
Semester/trimester when the component is delivered
5 Semester
Number of ECTS credits allocated
4
Learning outcomes
Know the basic postulates of quantum mechanics.
Know the basics of representation theory.
Be able to perform basic operations with operators - count the switches of operators of physical quantities and find their average values
Be able to obtain energy spectra of particles in one-dimensional potentials
Be able to calculate the spectrum and wave functions of a particle in two- and three-dimensional potentials
Ability to present the results of independent work
Processing of the necessary information, its ordering and assessment of reliability
Form of study
Full-time form
Prerequisites and co-requisites
1. Know the basics of mathematical analysis, linear algebra, function theory of complex variables, mathematical physics.
2. Be able to solve elementary differential equations, differential equations in partial derivatives, look for eigenvalues and eigenfunctions of linear self-adjoint operators.
3. Have basic skills in calculating derivatives of complex functions, integrals.
Course content
Мodule 1
Topic 1 Basic laws of quantum mechanics and its connection with "classical" physics.
Topic 2 Waves de Broglie. The main task of quantum mechanics. The principle of complementarity.
Topic 3 The first postulate of quantum mechanics.
Topic 4 The second postulate of quantum mechanics.
Topic 5 The third postulate of quantum mechanics.
Topic 6 The ratio of uncertainties.
Мodule 2
Topic 7 Schrödinger's equation. Continuity equation. The passage of a particle through a barrier.
Topic 8 Changing the average values of physical quantities over time. Poisson's quantum brackets.
Topic 9 Harmonic oscillator: wave approach, secondary quantization.
Topic 10 Pure and mixed states
Topic 11 Hydrogen atom.
Recommended or required reading and other learning resources/tools
1. Dirac P.A.M. The Principles of Quantum Mechanics. Oxford at the Clarendon Press. 1947.
2. Федорченко А.М. Теоретична фізика. т.2, Київ, Вища школа, 1993.
3. Вакарчук І.О. Квантова механіка. - Львів, ЛДУ, 2004.
4. Машкевич В.С. Годенко Л.П. Квантова фізика. Конспект лекцій Київ, КПІ, 1990.
5. Bohm A. Quantum Mechanics: Foundations and Applications. Springer. 1986.
6. Messiah A. Quantum Mechanics. Dover Books on Physics. 2014.
7. Flugge S. Practical Quantum Mechanics. Springer. 1999.
8. Cronin J.A., Greenberg D.F., Telegdi V.L. University of Chicago Graduate Problems in Phys-ics with Solutions. University of Chicago Press. 1979.
Planned learning activities and teaching methods
Lectures, practical classes, independent work, consultations
Assessment methods and criteria
Colloquium,
Modular control works,
Tasks for independent work
Test work
Language of instruction
Ukrainian
Lecturers
This discipline is taught by the following teachers
Departments
The following departments are involved in teaching the above discipline