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Modern physics

2024/2025
Programme:
Mathematics, Second Cycle
Year:
1 ali 2 year
Semester:
first or second
Kind:
optional
Group:
O
ECTS:
6
Language:
slovenian, english
Lecturer (contact person):
Hours per week – 1. or 2. semester:
Lectures
3
Seminar
0
Tutorial
2
Lab
0
Prerequisites

There are no prerequisites.

Content (Syllabus outline)

The electromagnetic field:

  • The electric and magnetic field
  • The integral and differential forms of the Maxwell equations
  • Electromagnetic radiation
  • Magnetic monopoles
    The theory of relativity:

  • The theory of special relativity: spacetime, the Lorentz transformations, the Minkowski metric and the Poincaré group

  • Electromagnetism in the theory of relativity and the Maxwell equations in covariant form;
  • the Maxwell equations in the language of differential forms
  • Introduction to classical field theory (the Lagrangian and the action)
  • Electromagnetism as a gauge field theory
  • Curved spacetime, geodesics and basics of the general theory of relativity
  • What are black holes?
    Quantum physics:

  • Why do we need quantum physics?

  • Wavelike properties of particles, the Schrödinger equation and the probabilistic interpretation
  • The postulates of quantum physics, the Heisenberg uncertainty relations
  • Examples of quantum systems: the harmonic oscillator, the Hydrogen atom
  • Relativistic quantum mechanics, the Dirac equation, spin and antimatter
  • Basics of the Feynman path integral: why is classical physics the limit of quantum physics?
  • What is quantum field theory?
Readings
  1. J. Strnad: Fizika. Del 3, Posebna teorija relativnosti, kvantna fizika, atomi, 2. spremenjena izd., Ljubljana : DMFA - založništvo, 2002, 2009.
  2. J. Strnad: Fizika. Del 4, Molekule, kristali, jedra, delci, 2. spremenjena izd., Ljubljana : DMFA - založništvo, 2002, 2005.
Objectives and competences

Students learn about the basic laws of classical electrodynamics, special and general relativity, quantum physics and elementary particle physics, as well as models of the universe.
Subject-specific competencies: knowledge and understanding of electromagnetism, special and general theory of relativity, quantum physics and the theory of interactions between elementary particles. The ability to solve practical problems in these areas. The ability to link the theoretical predictions and measurements. Critical evaluation and application of new knowledge in the fields of modern physics.

Intended learning outcomes

Knowledge and understanding: Acquire basic knowledge on theories of modern physics. The ability to link the theoretical predictions and measurements.
Application: Understanding of the laws of modern physics and applications of mathematical approaches.
Reflection: A critical assessment of the theoretical predictions with the results of the measurements.
Transferable skills: Ability to understand the phenomena and the interpretation and evaluation of the results of measurements.

Learning and teaching methods

Lectures, exercises, homeworks, consultations, seminars

Assessment

homeworks
written exam, which can be an in-class or a take-home exam
oral exam
grading: 5 (fail), 6-10 (pass) (according to the Statute of UL)

Lecturer's references

Sašo Grozdanov:
GROZDANOV, Sašo, HOFMAN, Diego M., IQBAL, Nabil. Generalized global symmetries and dissipative magnetohydrodynamics. Physical review. D. 2017, vol. 95, iss. 9, str. 096003-1-096003-22, ilustr. ISSN 2470-0010. DOI: 10.1103/PhysRevD.95.096003. [COBISS-SI-ID 3253348]
GROZDANOV, Sašo, SCHEE, Wilke van der. Coupling constant corrections in a holographic model of heavy ion collisions. Physical review letters. [Print ed.]. 2017, vol. 119, iss. 1, str. 011601-1-011601-5, ilustr. ISSN 0031-9007. DOI: 10.1103/PhysRevLett.119.011601. [COBISS-SI-ID 3253092]
CASALDERREY-SOLANA, Jorge, GROZDANOV, Sašo, STARINETS, Andrei O. Transport peak in the thermal spectral function of N = 4 supersymmetric Yang-Mills plasma at intermediate coupling. Physical review letters. [Print ed.]. 2018, vol. 121, iss. 19, str. 191603-1-191603-6, graf. prikazi. ISSN 0031-9007. DOI: 10.1103/PhysRevLett.121.191603. [COBISS-SI-ID 3263844]

Peter Križan:
Belle Collaboration, HARA, K., BRAČKO, Marko, GOLOB, Boštjan, KLUČAR, Jure, KORPAR, Samo, KRIŽAN, Peter, PESTOTNIK, Rok, PETRIČ, Marko, SMERKOL, Peter, STARIČ, Marko, ZUPANC, Anže, et al. Evidence for B[sup]- [to] [tau][sup]- ([nu][bar])[sub][tau] with a hadronic tagging method using the full data sample of Belle. Physical review letters, ISSN 0031-9007. [Print ed.], 2013, vol. 110, no. 13, str. 131801-1-131801-6. [COBISS-SI-ID 27055911]
Belle Collaboration, ADACHI, Ichiro, BRAČKO, Marko, GOLOB, Boštjan, KORPAR, Samo, KRIŽAN, Peter, PESTOTNIK, Rok, PETRIČ, Marko, SMERKOL, Peter, STANIČ, Samo, STARIČ, Marko, ZUPANC, Anže, et al. Precise measurement of the CP violation parameter sin2[phi][sub]1 in B[sup]0 [to] c c[bar] K[sup]0 decays. Physical review letters, ISSN 0031-9007. [Print ed.], 2012, vol. 108, no. 17, str. 171802-1-171802-7. [COBISS-SI-ID 25989415]
KRIŽAN, Peter. Overview of particle identification techniques. V: TRDs for the Third Millenium : proceedings of the 4th Workshop on Advanced Transition Radiation Detectors for Accelerators and Space Application, September 14-16, 2011, Bari, Italy, (Nuclear instruments and methods in physics research, ISSN 0168-9002, A, Accelerators, spectrometers, detectors and associated equipment, Vol. 706, 2013). Amsterdam: Elsevier, 2013, vol. 706, str. 48-54. [COBISS-SI-ID 27083559]