F6050 Advanced quantum mechanics

Faculty of Science
Spring 2020
Extent and Intensity
2/1/0. 4 credit(s). Type of Completion: zk (examination).
Teacher(s)
prof. Rikard von Unge, Ph.D. (lecturer)
prof. Rikard von Unge, Ph.D. (seminar tutor)
Guaranteed by
prof. Rikard von Unge, Ph.D.
Department of Theoretical Physics and Astrophysics – Physics Section – Faculty of Science
Contact Person: prof. Rikard von Unge, Ph.D.
Supplier department: Department of Theoretical Physics and Astrophysics – Physics Section – Faculty of Science
Course Enrolment Limitations
The course is also offered to the students of the fields other than those the course is directly associated with.
fields of study / plans the course is directly associated with
Course objectives
Main objectives are to learn more on 1) some new tools for the solution of the quantum mechanical problems 2) relativistic quantum mechanics and 3) scattering theory.
Learning outcomes
After finishing the course the students will:
thoroughly understand the foundations of modern Quantum Mechanics;
be able to solve selected problems using the Path integral formalism;
be able to derive the Dirac equation and solve it in some special cases;
be able to solve problems in scattering theory;
Syllabus
  • New tools: Density matrix Propagators Feynman integrals Scattering theory: Lippmann - Schwinger equation Born and Eikonal approximation Optical theorem Low energy scattering, bound states, resonances Scattering of identical particles Relativistic theory: Lorentz and SU(2) groups Spinor and standard representation Dirac equation and its solution in elementary examples
Literature
    recommended literature
  • SAKURAI, J. J. and Jim NAPOLITANO. Modern quantum mechanics. 2nd ed. Harlow: Pearson, 2014, ii, 520. ISBN 9781292024103. info
    not specified
  • Landau
  • LANDAU, Lev Davydovič and Jevgenij Michajlovič LIFŠIC. Quantum mechanics : non-relativistic theory. 3rd rev. and enl. ed. Oxford: Butterworth Heinemann, 2002, xv, 677 s. ISBN 0-08-029140-6. info
  • BERESTECKIJ, Vladimir Borisovič and Lev Petrovič PITAJEVSKIJ. Quantum electrodynamics. Edited by Jevgenij Michajlovič Lifšic, Translated by J. B. Sykes - J. S Bell. 2nd ed. Oxford: Butterworth-Heinemann, 1999, xv, 652 s. ISBN 0-7506-3371-9. info
  • FEYNMAN, Richard Phillips. Quantum electrodynamics. [Reading, MA.]: Westview Press, 1998, x, 198. ISBN 0201360756. info
  • FEYNMAN, Richard Phillips. Statistical mechanics : a set of lectures. Reading: W. A. Benjamin, 1972, xii, 354. info
  • FEYNMAN, Richard Phillips and Albert R. HIBBS. Kvantovaja mechanika i integraly po trajektorijam. Translated by E. M. Barliš - Ju. L. Obuchov. Moskva: Mir, 1968, 382 s. info
Teaching methods
Lectures.
Assessment methods
Homework problems and Oral exam.
Language of instruction
Czech
Further Comments
Study Materials
The course is taught annually.
The course is taught: every week.
The course is also listed under the following terms Spring 2008 - for the purpose of the accreditation, Spring 2011 - only for the accreditation, Spring 2000, Spring 2001, Spring 2002, Spring 2003, Spring 2004, Spring 2005, Spring 2006, Spring 2007, Spring 2008, Spring 2009, Spring 2010, Spring 2011, Spring 2012, spring 2012 - acreditation, Spring 2013, Spring 2014, Spring 2015, Spring 2016, Spring 2017, spring 2018, Spring 2019, Spring 2021, Spring 2022, Spring 2023, Spring 2024, Spring 2025.
  • Enrolment Statistics (Spring 2020, recent)
  • Permalink: https://is.muni.cz/course/sci/spring2020/F6050