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) 

Code: 
Number of ECTS credits: 

Prerequsites: 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 manybody quantum mechanics and
relativistic version of quantum mechanics.


Program: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. KleinGordon equation. 9. Dirac equation. 10. Nonrelativistic approximation for electron with spin in a magnetic field, Pauli equation. 11. Manybody systems. Second quantization for fermions and bosons. 12. Selfconsistent meanfield method: Hartree and HartreeFock approximations. Remarks about applications: atomic structure, molecular systems. 

Basic literature: 1.
L. Schiff, Mechanika kwantowa, PWN 1997 Additional literature: 1. I. BiałynickiBirula, M. Cieplak, J. Kamiński, Teoria kwantów, PWN2. 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, McGrawHill, 1965 6. C. Białobrzeski, Podstawy poznawcze fizyki świata atomowego.
