Module also offered within study programmes:
General information:
Name:
Quantum Mechanics
Course of study:
2016/2017
Code:
JFI-3-201-s
Faculty of:
Physics and Applied Computer Science
Study level:
Third-cycle studies
Specialty:
-
Field of study:
Physics
Semester:
2
Profile of education:
Academic (A)
Lecture language:
English
Form and type of study:
Full-time studies
Course homepage:
 
Responsible teacher:
prof. dr hab. inż. Szafran Bartłomiej (bszafran@agh.edu.pl)
Academic teachers:
Module summary

Students acquire knowledge of physical and mathematical foundations of advanced quantum mechanics. Students perform calculations of illustrative basic and advanced problems of quantum mechanics.

Description of learning outcomes for module
MLO code Student after module completion has the knowledge/ knows how to/is able to Connections with FLO Method of learning outcomes verification (form of completion)
Skills
M_U001 Students are capable of carrying out coordinate transformations in quantum mechanical problems FI3A_U01 Activity during classes,
Examination
M_U002 Students are capable of performing calculations in the Fock space using the Hartree-Fock approximation FI3A_U01 Activity during classes,
Examination
M_U003 Students know how to solve basic scattering problems in particular using the Born-Oppenheimer formalism FI3A_U01 Activity during classes,
Examination
M_U004 Students knows how to construct the Bell inequalities in accordance with the local formalism approach and falsify them using the quantum mechanics principles FI3A_U01 Activity during classes,
Examination
Knowledge
M_W001 Students acquire knowledge of physical and mathematical foundations of quantum mechanics; they understand the origin of quantization of physical quantities FI3A_W01 Activity during classes,
Examination
M_W002 Students understand the relations between transformations of coordinates and symmetries existing in quantum systems FI3A_W01 Activity during classes,
Examination
M_W003 Students understands quantum description of indistinguishable (indiscernible) particles FI3A_W01 Activity during classes,
Examination
M_W004 Students understand the standard quantum-mechanical interpretation in the quantum entanglement context FI3A_W04, FI3A_W01 Activity during classes,
Examination
FLO matrix in relation to forms of classes
MLO code Student after module completion has the knowledge/ knows how to/is able to Form of classes
Lecture
Audit. classes
Lab. classes
Project classes
Conv. seminar
Seminar classes
Pract. classes
Zaj. terenowe
Zaj. warsztatowe
Others
E-learning
Skills
M_U001 Students are capable of carrying out coordinate transformations in quantum mechanical problems - + - - - - - - - - -
M_U002 Students are capable of performing calculations in the Fock space using the Hartree-Fock approximation - + - - - - - - - - -
M_U003 Students know how to solve basic scattering problems in particular using the Born-Oppenheimer formalism - + - - - - - - - - -
M_U004 Students knows how to construct the Bell inequalities in accordance with the local formalism approach and falsify them using the quantum mechanics principles - + - - - - - - - - -
Knowledge
M_W001 Students acquire knowledge of physical and mathematical foundations of quantum mechanics; they understand the origin of quantization of physical quantities + - - - - - - - - - -
M_W002 Students understand the relations between transformations of coordinates and symmetries existing in quantum systems + - - - - - - - - - -
M_W003 Students understands quantum description of indistinguishable (indiscernible) particles + - - - - - - - - - -
M_W004 Students understand the standard quantum-mechanical interpretation in the quantum entanglement context + - - - - - - - - - -
Module content
Lectures:
Lecures' content

Physical and mathematical principles of quantum mechanics: Kinematics, Dynamics
Transformations of space coordinates in quantum mechanics, symmetry in quantum systems:_ Translations and momentum, Rotations and angular momentum. Discrete transformations: parity. Examples of other groups of transformations – internal symmetries (isospin, colour SU (3) etc.) Systems of identical particles. Groups of permutations and their representations.
Multiparticle systems: bosons, Multiparticle systems: fermions, Fock space and elements of quantum field theory, Fock space and elements of quantum field theory. Applications and examples: Elements of scattering theory, Many-body systems: methods of Hartree and Fock, Born-Oppenheimer approximation, Berry phase, etc., Interpretations of quantum mechanics. EPR paradox and Bell inequalities

Auditorium classes:

Illustration of topics discussed during lectures; presentation and discussion of the solutions of various problems handed-out to the Ph.D. students.

Student workload (ECTS credits balance)
Student activity form Student workload
Summary student workload 122 h
Module ECTS credits 5 ECTS
Participation in lectures 30 h
Realization of independently performed tasks 30 h
Preparation for classes 30 h
Examination or Final test 2 h
Participation in auditorium classes 30 h
Additional information
Method of calculating the final grade:

Oral exam grade

Prerequisites and additional requirements:

Basic knowledge of classical physics

Recommended literature and teaching resources:

1. L. Schiff, Mechanika kwantowa,. Wydawnictwo Naukowe PWN, Warszawa, 1977

Scientific publications of module course instructors related to the topic of the module:

Additional scientific publications not specified

Additional information:

None