Infopaket

Quantum mechanics

ОК 21.

Обов’язкова дисципліна для ОП

First

2023/2024

5 Semester

5

To understand the broad interdisciplinary context of the specialty, its place in the theory of knowledge and evaluation of objects and phenomena. To be able to use the principles and methods of reproduction of reference quantities in the construction of reference measuring instruments (standard samples, reference transducers, reference measuring instruments. To know and understand modern theoretical and experimental research methods to assess the accuracy of the results. To know, understand and be able to apply at a basic level the basic principles of general and theoretical physics, in particular, classical, relativistic and quantum mechanics, molecular physics and thermodynamics, electromagnetism, wave and quantum optics, atomic and atomic nucleus physics to establish, analyze, interpret, explain and classify the essence and mechanisms of various physical phenomena and processes to solve complex specialized problems and practical problems in physics, optics and laser physics.

Full-time form

To know the basics of mathematical analysis, methods of mathematical physics and the theory of functions of a complex variable. To be able to solve ordinary and partial differential equations. Possess methods of differential and integral calculus, methods of mathematical physics

Experimental foundations of quantum mechanics. De Broglie's hypothesis. Wave properties of particles. State function. Wave package. The principle of uncertainty. The principle of superposition. The concept of Hilbert space and algebra of operators. Hermitian operators. Eigenvalues and eigenvalues of operators, their properties. Operator of momentum of motion. Temporal evolution of the state. The operator of evolution. Schrödinger's equation. One-dimensional quantum systems: potential well, potential barrier, tunneling. One-dimensional quantum systems: harmonic oscillator. The moment of movement. Spin. Movement in a centrally symmetric field. Factorization method. The theory of the hydrogen atom. Approximate methods of quantum mechanics. Stationary perturbation theory. Stark effect. Time-dependent perturbation theory. Quantum mechanics of a system of many particles.

1. I.O. Vakarchuk. Quantum Mechanics. - Lviv, LSU, 2004. 2. Fedorchenko A.M. Theoretical physics. Vol. 2, Kyiv, Higher School, 1993. 3. Nouredine Zettili. Quantum Mechanics: Concepts and Applications. John Wiley & Sons, 688 pages. 4. Walter Greiner. Quantum Mechanics An Introduction, Third Edition, Springer, 2001, 485 pages. 5. R. Shankar, Principles of Quantum Mechanics, Springer New York, NY, 676 pages.

Lectures, practical classes, individual work.

Colloquium, homework, module control work, exam.

Ukrainian