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Quantum Mechanics

ОК 16.

Обов’язкова дисципліна для ОП

First

2023/2024

6 Semester

5

Know the basic approximate methods of quantum mechanics and the conditions of their application for simple potentials Know the main features of the interaction of the atom with the electromagnetic field at the quantum level Know the main achievements of relativistic quantum mechanics Know the basic methods of multiparticle quantum theory Be able to solve the Dirac equation for the hydrogen atom and the rectangular potential. Be able to obtain the main results of quantum radiation theory, photoelectric effect theory and dispersion Be able to calculate the spectrum and wave functions for a helium atom and a hydrogen ion Be able to calculate the scattering cross section for model repulsive potentials Application of the received knowledge to practical tasks

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 3 Topic 12 The transition from quantum equations of motion to classical ones. Topic 13 Stationary perturbation theory. Degenerate and non-degenerate cases. Topic 14 Nonstationary perturbation theory. Topic 15 Quantization of the electromagnetic field. Interaction of the atom with the electromagnetic field. Topic 16 Relativistic theory of particles with spin s = 1/2 Мodule 4 Topic 17 Theory of scattering. Topic 18 Quantum mechanics of many particle systems. Topic 19 The theory of the helium 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