Course title Quantum Mechanics of Many Particle Systems
Code F116
Status Lectures (30), Numerical exercises (15), Seminars (15)
Level Basic
Year 1. Semester 1.
ECTS 5 ECTS credits
Lecturer Igor Lukačević, Assistant Professor
Course objective Learn how to apply quantum mechanics in solving the realistic problems (material properties).
Prerequisites General Physics 1, Mathematics 1, Mathematics 2
Learning outcomes: After successfully completed course, student will be able to:

  1. describe approximation methods in detail
  2. apply approximation methods to simpler problems
  3. independently use and apply the computer in solving more complex problems
  4. understand and relate the obtained results with the experimental ones
Teaching activity ECTS Learning outcome Students activity Methods of evaluation Points
min max
Seminars 1 3-4 Making the presentation Assessing the seminar work 0% 20%
Laboratory practice 2 1-2 Continuous work in laboratory Following the students’ progress – experiment success 0% 40%
Knowledge test – theoretical part 2 1-2 Preparation for examination Written (preparatory) exam 0% 40%
Total 5 0% 100%
Consultations Yes
Gained competencies
  • knowledge of basic approximations for solving the problems in many particle systems
  • understanding the pros and cons of given approximations
  • ability to apply the most appropriate approximation in solving specific problem
  • relating the basic properties of many particle quantum systems (building the periodic table of elements)
Content (Course curriculum) Identical particles and symmetry of wave function. Basics of relativistic quantum theory. Perturbation theory and its applications. Approximation methods in quantum mechanics of many particle systems: WKB, adiabatic, variational principle, Hartree-Fock. Explaining simple molecules. Electronic structure of materials: overview of possibilities, density functional theory, quantum molecular dynamics. Understanding the periodic system of elements.
Recommended reading
  • L. Liboff, Introductory Quantum Mechanics, Addison-Wesley, 2003.
  • J. Griffiths, Introduction to Quantum Mechanics, Pearson Education Inc, New York, 2005.
  • Supek, Teorijska fizika i struktura materije, Školska knjiga, Zagreb, 1989.
  • L. I. Schiff, Quantum Mechanics, Mc-Graw Hill, New York 1968.
Additional reading
  • P. Feynman, R.B. Leighton, M. Sands, The Feynman Lectures on Physics – Volume III, Addison-Wesley Publications, Reading, 1966.
  • H. Wichmann, Quantum Physics: Berkeley physicscourse – Volume IV, McGraw-Hill, New York, 1971.
  • Ročak, M. Vrtar, Zbirka zadataka iz kvantne mehanike, Zagreb 1969.
  • A.M. Dirac, Principles of Quantum Mechanics, Oxford University Press, Oxfrod, 1978.
  • A.M. Dirac, Lectures on Quantum Mechanics, Dover Publications, New York, 2001.
  • Heisenberg, The Physical Principles of the Quantum Theory, Dover Publications, New York, 1949.
  • Y. Peleg, R. Pnini, E. Zaarur, Schaum’s outline of theory and problems of quantum mechanics, McGraw-Hill, New York, 1998.
Instructional methods Lectures (theory). Practical exercises in computer laboratory – individual and/or group work with computer simulations on specific problems with mentor (teacher).
Exam formats Laboratory work (throughout semester) with seminar concerning the specific problem analyzed in laboratory. Number of finished exercises, the correctness of solutions and individuality during work give the mark from the numerical part. Written exams via preparatory exams during the semester (3/semester) from theoretical part.
Language Croatian or English
Quality control and successfulness follow up Quality of knowledge shown via exams. Estimation of enthusiasm towards the subject.
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