Courses – Fakultet tehničkih nauka u Novom Sadu

Subject: Mathematical methods in electrodynamics and quantum mechanics (17.OM529)

Type of studies	Title
Master Academic Studies	Mathematics in Engineering (Year: 2, Semester: Winter)

General information:

Category	Professional-applicative
Scientific or art field	Teorijska i primenjena matematika Physics
ECTS	6

Preparing the students to be ready for subtle thinking and gaining the basic knowledge from mathematical methods crucial for quantitative elaboration of different phenomena in electrodynamics and quantum mechanics. After completing of this program students are enable to deal with some basic topics in pertaining scientific fields (primarly the Maxwell’s electrodynamics and quantum mechanics of harmonic oscillators and simple atoms).

The acquired knowledge serves for student’s future education and in the other subjects of studying in order to establish and to solve the adequate mathematical models.

Theoretical study:The solution of partial differential equations of second order in therms of method of separation of variables. (The Laplace equation and the Schrodinger equation). The WKB (Wentzel-Kramers-Brillouin) method for differential equations of mathematical physics. Solutions of equations of harmonic oscillators and hydrogen atom by the method of power series expansions. Josephson’s effect and sine-Gordon equation. Nonlinear transmission lines and pertaining solitonic waves. The perturbation theory. Practical classes (exercise): the exercises are performed with appropriate examples of theory that practicing a given material and therefore contribute to the understanding and practice of a given material.

Lectures. Numerical and calculation practice. Consultations. Lectures are organized in combined form. The presentation of the theoretical part is followed by the corresponding examples which contribute to better understanding of the theoretical part. During the practice classes which follow the lectures, the subject matter is supported by charactristic examples to provide futher practice and better understanding In addition to lectures and practice classes there are regular consultations. There is a possibility of taking partial examinations which cover certain logical units during the course.

Authors	Title	Year	Publisher	Language
Michael Remoissenet	Waves called Solitons	1999	Springer,	English
Jon Mathews and R.L. Walker,	Mathematical Methods in Physics	1970	W.A. Benjamin, INC.,	English
Paul Harrison	Quantum Wells	2005	Wires and Dots Wiley	English
L.E. Reichl	A modern Course in Statistical Physics	1991	Edward Arnold,	English
B.H. Bransden and C.J. Joachain,	Introduction to quantum mechanics	1990	Longman Scientific&Technical,	English

Course activity	Pre-examination	Obligations	Number of points
Lecture attendance	Yes	Yes	3.00
Final exam - part one	No	No	25.00
Test	Yes	Yes	10.00
Final exam - part two	No	No	25.00
Exercise attendance	Yes	Yes	2.00
Written part of the exam - tasks and theory	No	Yes	50.00
Test	Yes	Yes	10.00
Test	Yes	Yes	10.00
Project task	Yes	Yes	15.00