Course name: Quantum Mechanics II

Course status: compulsory

Course language: polish

Name of the teacher: prof. dr hab. Piotr Magierski

Semester: 6

Number of hours: 2/ 2/ _ (Lect/Classes/Lab)


Number of ECTS credits:

Pre-requsites: Classical Mechanics, Classical Electrodynamics, Quantum Mechanics I.

Form of completion: Examination (written)

Assessment methods: Student has to complete classes before is allowed to take the final exam. To complete classes student has to pass two exams. Homeworks and activity during classes are also graded. Those with outstanding records will pass final exam automatically with the best grade. Details are presented at the beginning of the course.  Final grade=2/3*(final exam)+1/3*(class)
Aims of the course: After completing the course a student is able to solve problems in quantum mechanics using the perturbation theory and semiclassical approximations. He/she gets acquainted with methods of solving quantum scattering problems (e.g. to calculate cross section), learns basics of many-body quantum mechanics and relativistic version of quantum mechanics.


1. Perturbation theory in quantum mechanics. Fermi golden rule.
2. Measurement in quantum mechanics revisited: EPR paradox, Bell's inequality, quantum teleportation.
3. Quantum theory of scattering, cross section, scattering amplitude.
4. Born approximation and its applications.
5. Method of phase shifts, low energy scattering.
6. Motion of a quantum particle and motion of a classical particle - similarities and differences7. Semiclassical approximation of quantum mechanics. WKB method and its applications. 
8. Relativistic quantum mechanics. Klein-Gordon equation.
9. Dirac equation.
10. Nonrelativistic approximation for electron with spin in a magnetic field, Pauli equation
11. Many-body systems. Second quantization for fermions and bosons.
12. Self-consistent mean-field method: Hartree and Hartree-Fock approximations. Remarks about applications: atomic structure, molecular systems.

Basic literature:

1. L. Schiff, Mechanika kwantowa, PWN 1997
2. A.S. Dawydow, Mechanika kwantowa, PWN 1969
3. B. Średniawa, Mechanika kwantowa, PWN 1981
4. L.D. Landau, E.M. Lifszyc, Mechanika kwantowa. Teoria nierelatywistyczna, PWN

Additional literature:

1. I. Białynicki-Birula, M. Cieplak, J. Kamiński, Teoria kwantów, PWN
2. D. Bohm, Mechanika kwantowa,
3. A. Messiah, Quantum Mechanics,
4. J.D. Bjorken, S.D. Drell, Relatywistyczna teoria kwantów, PWN 1985

5. A. Hibbs, R. Feynman, Quantum Mechanics and Path Integrals, McGraw-Hill, 1965
6. C. Białobrzeski, Podstawy poznawcze fizyki świata atomowego.