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Audiovisual Mathematics Library

Audiovisual Mathematics Library

Documents 82D05 2 results

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Microscopic description of Coulomb gases - Serfaty, Sylvia (Author of the conference) | CIRM H

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We are interested in the statistical mechanics of systems of N points with Coulomb interactions in general dimension for a broad temperature range. We discuss local laws characterizing the rigidity of the system at the microscopic level, as well as free energy expansion and Central Limit Theorems for fluctuations.

82C22 ; 81V19 ; 60F05 ; 82D05

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Validity of spin wave theory for the quantum Heisenberg model - Seiringer, Robert (Author of the conference) | CIRM H

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We consider the quantum ferromagnetic Heisenberg model in three dimensions, for all spins $S= 1/2$. We rigorously prove the validity of the spin-wave approximation for the excitation spectrum, at the level of the first non-trivial contribution to the free energy at low temperatures. The proof combines a bosonic representation of the model introduced by Holstein and Primakoff with probabilistic estimates, localization bounds and functional inequalities.
Joint work with Michele Correggi and Alessandro Giuliani[-]
We consider the quantum ferromagnetic Heisenberg model in three dimensions, for all spins $S= 1/2$. We rigorously prove the validity of the spin-wave approximation for the excitation spectrum, at the level of the first non-trivial contribution to the free energy at low temperatures. The proof combines a bosonic representation of the model introduced by Holstein and Primakoff with probabilistic estimates, localization bounds and functional ...[+]

82D05 ; 82D40 ; 82D45 ; 82B10

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