Exact Results in Quantum Theory

Quantum mechanics is a theory that provides us with the wave picture of matter and it explicitly brings phenomena such as interference into the description of particles. These aspects are thoroughly illustrated by the phenomenon of quantum carpet. Quantum carpets are highly coherent interference patterns found in the evolution of the wave function describing particles in certain confined geometries. I will review known results and the most important concepts such as quantum revivals. In particular, recently carpets were found in many-body fermionic systems. Then, I will move on to new results in interacting bosonic systems, where we study carpets for all values of interaction between particles using exact Gaudin's solutions constructed with the Bethe ansatz techniques.
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(Meeting ID: 861 0663 2208, Passcode: 673023)