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Project: Z2

Title:          Quantum mechanics on a discrete time lattice

DESY group:     Zeuthen Particle Physics Theory

Type:           Online project

Duration:       19th July - 10th Sep 2021

Description:

In the project, an introduction to the Feynman’s pathintegral approach to quantum mechanics will
be obtained. In particular, the harmonic oscillator should be worked out on a discrete time lattice.
After a rotation to Euclidean time, the system shall be investigated through a Monte Carlo simulation.
Therefore, in the project the pathintegral formulation, the lattice discretization, Monte Carlo
simulations and error analysis will be learned. The project will follow closely the article by
Creutz and Freedman https://www.zeuthen.desy.de/~kjansen/lattice/qcd/miscellaneous/CreutzFreedman.pdf


Special Qualifications expected:
basic knowledge in quantum mechanics, mastering of a programming language, e.g.
Python, Julia, C, matlab ...