Mainz 2022 – scientific programme
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HK: Fachverband Physik der Hadronen und Kerne
HK 13: Heavy-Ion Collisions and QCD Phases IV
HK 13.2: Talk
Monday, March 28, 2022, 16:15–16:30, HK-H2
Quantum Mechanical Bound State Formation in Time Dependent Potentials — •Jan Rais1, Hendrik van Hees2, and Carsten Greiner3 — 1Institute for theoretical physics, Goethe Universität Frankfurt — 2Institute for theoretical physics, Goethe Universität Frankfurt — 3Institute for theoretical physics, Goethe Universität Frankfurt
We study the formation of quantum mechanical bound states within a 1-dimensional attractive square well potential, by first solving the stationary system and then study a time dependent system. Here we introduce a time dependent potential, which could generally be of every shape. In our case, we introduce Gaussian potentials which are sufficiently small in space, due to the size of the box and differ due to different time lengths. We are interested to study the time scales, in which bound states populate and depopulate. Therefore we also clarify how to treat the question, where to obtain Heisenberg's uncertainty relation in energy and time and how it is fulfilled in our system. Furthermore we study the applicability of first order perturbation theory on the considered quantum system.