Mathematical Physics Seminary

Inscription in the academic year.

Graphical representation of functions and fields in one and more dimensions. Search for function extremes and zeros. Matrix diagonalization. Numerical integration. Monte Carlo methods for numerical integration and modeling of probability distributions. Numerical solutions of differential equations of first and higher degrees. Numerical solutions of differential equations in many dimensions. Solving partial differential equations. Numerical Fourier transforms and Fast Fourier Transform methods.

1.) Numerical Recipes: The Art of Scientific Computing, Third Edition (2007), 1256 pp. Cambridge University Press ISBN-10: 0521880688

2.) Skripta za Matematično fizikalni seminar z primeri, dosegljiva na spletu: www-f9.ijs.si/~kersevan/

Objectives: Advanced understanding and application of numerical methods in Physics calculations. Presentation of basic numerical methods and their use in calculating and modeling representative Physics problems.

Competences:
The competence to use numerical modeling for solving Physics problems.
Mastering the principal numerical methods and approaches.
The skill to research the existing methods in scientific literature and adequate implementation of these.
The competence to code the numerical methods in at least one of programming languages and programming tools.

Knowledge and understanding:
Familiarity and understanding of fundamental numerical methods and approaches in solving Physics problems. Understanding the principles and limitations of different apporaches in numerical calculations and modeling of Physics problems.
Application of Physics principles and approaches using numerical calculations in problem solving in represetative cases.
Application of simplified models for numerical calculations with substantiated and explained validity of simplifications applied.

Individual tasks with practical and actual tasks of applying numerical methods, with presentation of the background and context of the category and type of problems and methods of solving these, computer demonstrations.

10 individual project coursework tasks with short oral defence, each task is graded individually, the final grade is the combination of individual grades of all tasks.

[1] ATLAS Collaboration, KERŠEVAN, Borut Paul, KRAMBERGER, Gregor, MAČEK, Boštjan, MANDIĆ, Igor, MIJOVIĆ, Liza, MIKUŽ, Marko, TYKHONOV, Andrii, et al. Evidence for the spin-0 nature of the Higgs boson using ATLAS data. Physics letters. Section B, ISSN 0370-2693. [Print ed.], 2013, vol. 726, no. 1/3, str. 120-144, doi:10.1016/j.physletb.2013.08.026. [COBISS-SI-ID 27301671]
[2] ATLAS Collaboration, AAD, G., CINDRO, Vladimir, DELIYERGIYEV, Maksym, FILIPČIČ, Andrej, FRATINA, Saša, GORIŠEK, Andrej, KERŠEVAN, Borut Paul, KRAMBERGER, Gregor, MAČEK, Boštjan, MANDIĆ, Igor, MIJOVIĆ, Liza, MIKUŽ, Marko, TYKHONOV, Andrii, et al. Measurement of top quark polarization in top-antitop events from proton-proton collisions at [square root] s=7 TeV using the ATLAS detector. Physical review letters, ISSN 0031-9007. [Print ed.], 2013, vol. 111, no. 23, str. 232002-1- 232002-19, doi: 10.1103/PhysRevLett.111.232002. [COBISS-SI-ID 27300391]
[3] ATLAS Collaboration, AAD, G., CINDRO, Vladimir, DOLENC, Irena, FILIPČIČ, Andrej, FRATINA, Saša, GORIŠEK, Andrej, KERŠEVAN, Borut Paul, KRAMBERGER, Gregor, MAČEK, Boštjan, MANDIĆ, Igor (pisar), MIJOVIĆ, Liza, MIKUŽ, Marko, TYKHONOV, Andrii, et al. Search for dark matter candidates and large extra dimensions in events with a photon and missing transverse momentum in pp collision data at [square root] s = 7 TeV with the ATLAS detector. Physical review letters, ISSN 0031-9007. [Print ed.], 2013, vol. 110, no. 1, str. 011802-1-011802-18, doi: 10.1103/PhysRevLett.110.011802. [COBISS-SI-ID 26480167]
[4] ATLAS Collaboration, AAD, G., CINDRO, Vladimir, DELIYERGIYEV, Maksym, DOLENC, Irena, FILIPČIČ, Andrej, FRATINA, Saša, GORIŠEK, Andrej, KERŠEVAN, Borut Paul, KRAMBERGER, Gregor, MAČEK, Boštjan, MANDIĆ, Igor, MIJOVIĆ, Liza, MIKUŽ, Marko, TYKHONOV, Andrii, et al. Observation of associated near-side and away-side long-range correlations in square root=5.02 TeV proton-lead collisions with the ATLAS detector. Physical review letters, ISSN 0031-9007. [Print ed.], 2013, vol. 110, no. 18, str. 182302-1-182302-18, doi: 10.1103/PhysRevLett.110.182302. [COBISS-SI-ID 26742311]
[5] KERŠEVAN, Borut Paul, RICHTER-WĄS, E. The Monte Carlo event generator AcerMC versions 2.0 to 3.8 with interfaces to PYTHIA 6.4, HERWIG 6.5 and ARIADNE 4.1. Computer physics communications, ISSN 0010-4655. [Print ed.], 2013, vol. 184, iss. 3, str. 919-985. http://www.sciencedirect.com/science/article/pii/S001046551200375X, http://dx.doi.org/10.1016/j.cpc.2012.10.032. [COBISS-SI-ID 2529636]