Infopaket

Quantum Mechanics

ОК 16.

Обов’язкова дисципліна для ОП

First

2023/2024

5 Semester

4

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

Full-time form

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.

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.

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.

Lectures, practical classes, independent work, consultations

Colloquium, Modular control works, Tasks for independent work Test work

Ukrainian