Mathematical physics practicum

Course title:

Computing and plotting functions: power and asymptotic series, Pade approximations, chain fractions; plotting vector fields.

Eigenvalues and eigenvectors of a tensor.

Harmonic analysis: Fast Fourier transform (FFT), correlation function.

(Systems of) simple (ordinary) differential equations: initial-value problems, stiff systems, boundary-value problems.

Partial differential equations: 1-D wave and diffusion equation, Fourier method, finite-difference method (discretization), Galerkin method.

Basic application and use of machine learning methods (neural networks and decision trees).

S. Širca, M. Horvat, Računske metode za fizike, DMFA Ljubljana 2011.
S. Širca, M. Horvat, Computational methods for physicists, Springer-Verlag 2012.
W. H. Press et al., Numerical Recipes. Cambridge University Press 2007.
I. Kuščer, A. Kodre, Matematika v fiziki in tehniki. DMFA Ljubljana 1994.
 

The student acquires experience in the application of mathematical tools for the numerical and symbolic analysis and for the visualization of data.

Knowledge and understanding
Understanding of the execution of computational procedures and the choice of the computational method.

Application
The skill of quantitative evaluation of concrete physics and technical problems.

Reflection
Interpretation of numerical results.

Transferrable skills
The skill of the numerical solution of the project. The skill of reporting about the computational project. Application of computer graphics for data visualization. Managing programming languages and computational tools.

Weekly projects, live computer presentations, consultations.

The grade is given according to the grades of individual projects (12 weekly problems).
grading: 5 (fail), 6-10 (pass) (according to the Statute of UL)

[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](SNN)=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]