Theoretical physics II

General data

Course ID:	WM-FI-451
Erasmus code / ISCED:	(unknown) / (unknown)
Course title:	Theoretical physics II
Name in Polish:	Fizyka teoretyczna II
Organizational unit:	Faculty of Mathematics and Natural Sciences. School of Exact Sciences.
Course groups:
ECTS credit allocation (and other scores):	(not available) Basic information on ECTS credits allocation principles: the annual hourly workload of the student’s work required to achieve the expected learning outcomes for a given stage is 1500-1800h, corresponding to 60 ECTS; the student’s weekly hourly workload is 45 h; 1 ECTS point corresponds to 25-30 hours of student work needed to achieve the assumed learning outcomes; weekly student workload necessary to achieve the assumed learning outcomes allows to obtain 1.5 ECTS; work required to pass the course, which has been assigned 3 ECTS, constitutes 10% of the semester student load. view allocation of credits
Language:	Polish
Subject level:	elementary
Learning outcome code/codes:	FIZ2_W01; FIZ2_W02; FIZ2_W03; FIZ2_W07; FIZ2_W08; FIZ2_U01; FIZ2_U04; FIZ2_U09; FIZ2_U15; FIZ2_U16; FIZ2_K02
Short description:	Electrostatics, magnetostatics, fields in matter, Maxwell's equations, electromagnetic waves, radiation, electromagnetism in a special theory of relativity.
Full description:	1. Mathematical introduction, vectors, scalar and vector products, vector fields, gradient, divergence, curl, curves, surface and volume integrals, unoriented and oriented integrals, surface parameterization, Stokes' and Gauss' theorems, Dirac delta function in one and many dimensions. 2. Maxwel'sl equations in integral and differential form: Gauss' law for electricity and magnetism, Amper's law, Faraday's law of induction, the principle of charge conservation. 3. Electrostatics, superposition principle, electrostatic potential, Poisson's equation. 4. Multipolar expansion, charges in the electrostatic field, energy of an electrostatic system , multipolar interactions, electrostatic field energy. 5. Solving electrostatic problems, Laplace's equation in one, two and three dimensions, boundary conditions, method of images. 6. Electrostatic field in dielectrics, polarization, Gauss' law, forces acting on dielectrics. 7. Magnetostatics, Lorentz' force, Biot-Savart's law, vector potential, magnetic field energy. 8. Magnetic field in matter, magnetization: dia-, para- and ferromagnetics, magnetic moment, magnetic field energy, magnetic dipole. 9. Non-relativistic motion of charge in static fields, magnetic dipole in a magnetic field. 10. General description of the electromagnetic field, energy, Poynting's vector, potentials, Lorentz' and Coulomb's gauges. 11. Electromagnetic waves, reflection, refraction and polarization, Fresnel's formulas, waves in matter, absorption and dispersion, waveguides. 12. Green's functions for wave equation, retarded potentials. 12.Radiation of a charge, Lienard-Wichert's potentials, dipole radiation. 14. Lorentz' transformations for electromagnetic fields and potentials, four-dimensional description of fields, Lagrangian for electromagnetic field, Maxwell's equation in a four-vector language. 15. Relativistic dynamics of particles in electromagnetic fields.
Bibliography:	D.J. Griffiths, Foundations of electrodynamics 2004 J.D. Jackson, Classical electrodynamics 1985
Efekty kształcenia i opis ECTS:	Knows basic concepts and mathematical formalism of electrodynamics. Understands the essence and specificity of electrodynamics. Understands connections of electrodynamics with other branches of theoretical and experimental physics.
Assessment methods and assessment criteria:	Written and oral exam

This course is not currently offered.

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