TFG Projects

In this TFG the student will have a first contact with the application of path integrals in quantum mechanics and its semi-classical solution in imaginary time: the so-called flucton. The flucton and its first quantum corrections will be calculated for simple 1D pairwise potentials at finite temperature, with the final goal of applying it to realistic potentials of physical relevance. 

The student will get in touch to the statistical thermal model of particle production in heavy-ion collisions. Using thermodynamical information from the fireball, the blast-wave model will be applied to extract the particle momentum spectra, and calculate hadron yield in given kinematical cuts of the experimental detector. Predictions will be compared to p+p collision from LHC. If time allows Pb+Pb collisions will also be considered.

A Janus particle is one of best known examples of active matter, presenting a self-propulsion in a medium with large damping. These particles have a wide range of applications, being used as micromotors to enhance physicochemical reactions. The student will develop simulations of these particles including their interactions with the bath and with other Janus particles. By generating a number of simulations, the student will construct observables that will eventually be compared to experimental results. 

In this TFG the student will deepen into the nuclear shell model and check by an explicit calculation the prediction for the nuclear energy levels. Using a potential without and with spin-orbit interaction, the student will numerically solve the Schrödinger equation and classify the eigenvalues of the discrete states to check whether or not the nuclear magic numbers are reproduced.