Modern Physics and its Application in Electrical Engineering

Learning Outcomes

  1. Explain 3D Schrödinger equation
  2. Explain orbital angular momentum in quantum mechanics and electron spin
  3. Explain Maxwell equations and electromagnetic waves in dielectrics and conductors
  4. Explain dispersion relations
  5. Explain the impact of electric and magnetic fields on the energy levels of electrons
  6. Explain the bonding of atoms to molecules and crystals.

Forms of Teaching


Lectures in 2 cycles of 7 and 6 weeks

Seminars and workshops



Work with mentor



Grading Method

Continuous Assessment Exam
Type Threshold Percent of Grade Threshold Percent of Grade
Seminar/Project 0 % 70 % 0 % 70 %
Final Exam: Oral 30 %

Week by Week Schedule

  1. Solution of Schrödinger equation in three dimensions; Solutions for spherically symetric potential; Orbital angular momentum in quantum mechanics; Electron spin.
  2. Time independent perturbation theory; Quantum processes: emission and absorption of radiation; Selection rules.
  3. Maxwell equations and electromagnetic waves in dielectrics and conductors.
  4. Reflection and refraction of electromagnetic waves; Dispersion relations; Normal and anomalous dispersion.
  5. Reflection and refraction of electromagnetic waves; Dispersion relations; Normal and anomalous dispersion.
  6. Magnetic polarization and magnetic moments.
  7. Stark effect; Zeeman effect and Landau levels.
  8. Midterm exam.
  9. Quantum mechanics and electric and magnetic field couplings.
  10. Artificial materials.
  11. Artificial materials.
  12. Quantum and plasmonic electromagnetic systems.
  13. Novel optical guiding structures and sensors.
  14. Novel radiating structures.
  15. Final exam.

Study Programmes

University undergraduate
Computing (study)
Elective Courses (6. semester)
Electrical Engineering and Information Technology (study)
Elective Courses (6. semester)
University graduate
Audio Technologies and Electroacoustics (profile)
Elective Courses (2. semester)
Electrical Power Engineering (profile)
Elective course (2. semester)


D. Horvat (2011.), Fizika 2: titranje, valovi, elektromagnetizam, optika i uvod u modernu fiziku, Neodidakta
(.), S. Hrabar, Z. Sipus, I Malcic, „Broadening of Cloaking Bandwidth by Passive And Active Techniques“ // Transformation Electromagnetics and Metamaterials / Douglas, Werner ; Do-Hoon, Kwon (ur.). London : Springer, 2013, ISBN 978-1-4471-4996-5,
(.), S. Hrabar, „Application of Wire Media in Antenna Technology“ // Metamaterials and Plasmonics: Fundamentals, Modelling, Applications / Zouhdi, Said ; Sihvola, Ari ; Vinogradov, Alexey (ur.).Amsterdam : Springer, 2009., ISBN 978-1-4020-9407-1,
(.), S. Hrabar, „Waveguide Experiments to Characterize the Properties of SNG and DNG Metamaterials“ // Metamaterials, Physics and Engineering Explorations / Engheta, N. ; Ziolkowski, R. (ur.).U.S.A. : John Wiley and IEEE, 2006., ISBN 978-0471761020,

Associate Lecturers


ID 183491
  Summer semester
L3 English Level
L1 e-Learning
60 Lectures
0 Exercises
0 Laboratory exercises
0 Project laboratory

Grading System

89 Excellent
76 Very Good
63 Good
50 Acceptable