On the existence of derivations as square roots of generators of state-symmetric quantum Markov semigroups
Vernooij MatthijsWorkshop:Optimal Transport on Quantum Struct.
on 9/28/22
This is a modal window.
In spite of their very different natures, the Euler, Einstein and Schroedinger Equations share very similar variational structures in strong connection with Optimal Transport Theory, involving density fields that are respectively real, matrix and complex-valued. A key point of the analysis is to write all these equations as quadratic system ofconservation laws, in particular thanks to the Madelung transform in the case of Schroedinger's equation.