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math-ph2019
Constrained minimizers of the von Neumann entropy and their characterization
Romain Duboscq, Olivier Pinaud
We consider in this work the problem of minimizing the von Neumann entropy under the constraints that the density of particles, the current, and the kinetic energy of the system is…
math-ph2019
A constrained optimization problem in quantum statistical physics
Romain Duboscq, Olivier Pinaud
In this paper, we consider the problem of minimizing quantum free energies under the constraint that the density of particles is fixed at each point of Rd, for any d 1. We ar…