26E063KMM - Quantum mechanical methods in electrical engineering and computer science

Course specification
Course title		Quantum mechanical methods in electrical engineering and computer science
Acronym		26E063KMM
Study programme		Electrical Engineering and Computing
Module		Physical Electronics - Biomedical and Nuclear Engineering, Physical Electronics - Nanoelectronics and Photonics
Type of study		bachelor academic studies
Lecturer (for classes)		professor PhD Milan Tadić professor PhD Jelena Radovanović professor PhD Vladimir Arsoski asst. professor PhD Nikola Vuković
Lecturer/Associate (for practice)		professor PhD Jelena Radovanović professor PhD Vladimir Arsoski asst. professor PhD Nikola Vuković
Lecturer/Associate (for OTC)
ESPB		6.0	Status	elective
Condition
The goal		Introducing students to quantum mechanical concepts at a higher level than the Quantum Mechanics course, such as approximate and numerical methods, secondary quantization, symmetries, and quantum computing.
The outcome		Acquisition of theoretical and operational knowledge of quantum mechanical methods necessary for the calculation of electronic structure and transport in quantum electronic devices, as well as for simulations of quantum mechanical systems in quantum informatics and nuclear physics.
Contents
Contents of lectures		Interpretations. Perturbation theory for degenerate states. Variational method. WKB approximation. Numerical methods for solving the Schrödinger equation. Secondary quantization. Density matrix. Symmetries. Dipole transitions. Dirac equation. Spin-orbit interaction. Wave packet. Scattering theory. Green's function for a free particle. Fundamentals of quantum computing and quantum communications.
Contents of exercises		Solving selected problems. Computer simulations of selected examples.
Literature
D. J. Griffiths and D. F. Schroeter, "Introduction to quantum mechanics", Cambridge University Press, 2018. (Original title) M.A. Nielsen, I. L. Chuang, Quantum computation and quantum information, Cambridge university press, 2010. (Original title) S.Weinberg, Lectures on Quantum Mechanics, Cambridge University Press, 2013. (Original title) J. Izaac, J. Wang, Computational Quantum Mechanics, Springer, 2018. (Original title) J.S. Faulkner, Modern Quantum Mechanics and Quantum Information, IOP Publishing, Bristol, UK, 2021. (Original title)
Number of hours per week during the semester/trimester/year
Lectures	Exercises	OTC	Study and Research	Other classes
3	2
Methods of teaching		Lectures and auditory exercises
Knowledge score (maximum points 100)
Pre obligations		Points	Final exam	Points
Activites during lectures			Test paper	50
Practical lessons			Oral examination
Projects
Colloquia		50
Seminars