Kolloquium Wilhelm Killing: Prof. Dr. Roberto Longo (Rom): The information in a wave

Thursday, 16.01.2020 16:30 im Raum M5

Mathematik und Informatik

Suppose that some information is transmitted by an undulatory signal. In Classical Field Theory, the stress-energy tensor provides the energy-momentum density of the wave packet at any time. But, how to measure the information, or entropy, carried by the wave packet in a certain region at given time? Surprisingly, one can answer the above (entirely classical) question by means of Operator Algebras and Quantum Field Theory. In fact, in second quantisation a wave packet gives rise to a sector of the Klein-Gordon Quantum Field Theory on the Rindler spacetime W. The associated vacuum noncommutative entropy of the global von Neumann algebras of W is the entropy of the wave packet in the wedge region W of the Minkowski spacetime. One can then read this result in first quantisation via a notion of entropy of a vector of a Hilbert space with respect to a real linear subspace. I give a path to the above results by an overview of some of basic results in Operator Algebras and Quantum Field Theory and of the relation with the Quantum Null Energy Inequality.

Angelegt am Friday, 11.10.2019 09:43 von shupp_01
Geändert am Thursday, 19.03.2020 11:52 von vliesche
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