1. SylabUZ
2. Wydział Fizyki i Astronomii
3. semestr zimowy 2017/2018
4. Fizyka - Program Erasmus pierwszego stopnia
5. Quantum mechanics foundations

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Quantum mechanics foundations - opis przedmiotu

Cel przedmiotu

To acquaint students with the basics of quantum mechanics and its formalism

Wymagania wstępne

Zapisz zmiany

Knowledge of basic physics, mathematical methods of physics, elements of algebra and mathematical analysis

Zakres tematyczny

Lecture: Experimental foundations of quantum physics. Corpuscular properties of the electromagnetic radiation. Wave properties of particles. Atoms structure. Mathematical methods in Quantum Mechanics – vectors spaces, Hilbert spaces, operators, discrete and continuous and discrete basis representation. Quantum postulates and their consequences – the state of the quantum system, a correspondence of observables with operators, an eigenvalue problem, probabilistic interpretation of results of measurements, the time evolution of the quantum system. Uncertainty relation. Symmetries: space translations and time translations. Quantum Mechanics of a particle in one dimension: a free particle, harmonic oscillator. Quantum Mechanics of a particle in three dimensions: angular momentum. Symmetries in quantum mechanics - symmetries with respect to a shift  in space and in  time, rotational symmetries s - relationship with conservation laws. A hydrogen-like atom.

Theoretical class: Problems and exercises for the lecture: elements of a theory of the linear operators in the Hilbert space, uncertainty principle, the square potential barrier, potential well, symmetries, , rotational symmetries  - relationship with conservation laws.

Metody kształcenia

Conventional lecture, classes.

Efekty uczenia się i metody weryfikacji osiągania efektów uczenia się

Opis efektu	Symbole efektów	Metody weryfikacji	Forma zajęć

Warunki zaliczenia

Lectures: passing a final written exam,

Classes: passing a final test.

Before taking the examination the student needs to obtain passing grade in the computational exercises.

The final grade: the arithmetic average of the examination grade and computational exercises grade

Literatura podstawowa

[1] R. L. Liboff, Wstęp do mechaniki kwantowej, PWN, 1987 (Introductory Quantum Mechanics, Holden–Day, San Francisco).

[2] L. D. Landau, E. M. Lifszic, Mechanika kwantowa, PWN (L. D. Landau, E. M. Lifshitz, Quantum mechanics: Nonrelativistic theory, Pergamon Press).

[3] L. I. Schiff, Mechanika kwantowa, PWN, 1977 (Quantum Mechanics, McGraw–Hill, New York).

[4] Nouredine Zettili, Quantum Mechanics: Concepts and Applications, 2^nd ed., Willey 2009.

[5] Michel Le Bellac, Quantum Physics, Cambridge 2006.

Literatura uzupełniająca

[1] J. Brojan, J. Mostowski, K. Wódkiewicz, Zbiór zadań z mechaniki kwantowej, PWN 1978.

Uwagi

Zmodyfikowane przez dr hab. Maria Przybylska, prof. UZ (ostatnia modyfikacja: 09-07-2018 22:27)