Physics of Materials

Learning Outcomes

  1. Describe basic concepts of quantum-mechanical pictures of matter.
  2. Apply approximative methods of quantum mechanics into desription of matter.
  3. Derive wave equation in three dimensions.
  4. Apply classical and quantum distributions.
  5. Analyze potentials and conductivity in crystall latice.
  6. Explain fermion pairing in BCS theory at low temperatures.
  7. Describe quantum theory of magnetism and its application in quantum metrology and quantum computers.
  8. Analyze electric and magnetic properties of materials in technology.

Forms of Teaching


Lectures with AV support. Scientific movies on related contemporary research. Simple experiments and demonstrations.

Seminars and workshops

Individual presentations of special topics.


Examples and problem solutions.

Independent assignments

Work on computer and knowledge in simulations, data handling, and searching on articles and solutions in quantum physics.


Attending lectures (P), solving examples and excercises (V) laboratory excercises (L) on lectures. Individual and/or group presentations of specific topics - seminars (S)

Grading Method

Continuous Assessment Exam
Type Threshold Percent of Grade Threshold Percent of Grade
Homeworks 0 % 10 % 0 % 0 %
Class participation 0 % 10 % 0 % 0 %
Mid Term Exam: Written 0 % 40 % 0 %
Final Exam: Written 0 % 40 %
Exam: Written 0 % 40 %
Exam: Oral 40 %

Week by Week Schedule

  1. Wave equation in three dimensions .
  2. Solutions, properties, interpretations; Quantum numbers set and possible values.
  3. WBK approximation and applications (semiconductor junctions); Perturbation theory of QM and applications.
  4. Function of the density of states and partition functions.
  5. Bose–Einstein condensates (superconductivity, quantum computers).
  6. Drift velocities, relaxation times, mobility.
  7. Langevin function: applications.
  8. Midterm exam.
  9. Lorentz field; Clausius–Mossotti formula.
  10. Magnetic moments related to Schrödinger equation; Electron spin; Landé factor; Hund’s rules and applications.
  11. Spintronics and applications (quantum computers); NMR and applications (quantum computers).
  12. Meissner effect; London equations; Penetration depth.
  13. Cooper pairs and B;C;S; theory ; Magnetic flux quantization (fluxon); Quantum metrology; Phenomenology of crystal superconducting heterostructures.
  14. Quantum Hall effect; Applications of HTS materials for technology (quantum dots, thin films, magnets).
  15. Final exam.

Study Programmes

University undergraduate
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University graduate
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(.), Baće M.; Bistričić, L.; Borjanović, V.; Horvat, D.; Petković, T. Riješeni primjeri iz fizike materijala, recenzirani udžbenik. Hinus, Zagreb, 2011.,
(.), Knapp, V; Colić, P. Uvod u električna i magnetska svojstva materijala, udžbenik. Školska knjiga, 2. izd. 1997.,
(.), 1. Rosenberg, H. M. The Solid State. An introduction to the Physics of solids for students of physics, material science, and engineering, 3rd ed., Oxford University Press, Oxford 1989.,
(.), 2. A. F. J. Levi, Applied quantum mechanics, Cambridge University Press, Cambridge, 2003.,
(.), 3. L. Susskind and A. Friedman. Quantum Mechanics The Theoretical Minimum, Basic books - Perseus Books Group. New York, 2014.,
(.), 4. E. L. Wolf, Nanophysics and Nanotechnology, Wiley – VCH Verlag GmbH & Co. KGaA, Weinheim, 2004.,
(.), 5. L.I. Schiff, QUANTUM MECHANICS, McGraw-Hill Book Company, 3rd edition, 1968.,

Associate Lecturers


ID 183500
  Summer semester
L3 English Level
L1 e-Learning
45 Lectures
8 Exercises
5 Laboratory exercises
0 Project laboratory

Grading System

85 Excellent
75 Very Good
60 Good
50 Acceptable