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math-ph2022★ 9 cited
On Quantum Sobolev Inequalities
Laurent Lafleche
We investigate the quantum analogue of the classical Sobolev inequalities in the phase space, with the quantum Sobolev norms defined in terms of Schatten norms of commutators. Thes…
math-ph2022★ 1 cited
On the semiclassical regularity of thermal equilibria
Jacky J. Chong, Laurent Lafleche, Chiara Saffirio
We study the regularity properties of fermionic equilibrium states at finite positive temperature and show that they satisfy certain semiclassical bounds. As a corollary, we identi…