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H 1 Quantum spin systems and phase transitions. Part 4

Auteurs : Ueltschi, Daniel (Auteur de la Conférence)
CIRM (Editeur )

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    Résumé : These lectures will be an introduction to the quantum Heisenberg model and other related systems. We will review the Hilbert space, the spin operators, the Hamiltonian, and the free energy. We will restrict ourselves to equilibrium systems. The main questions deal with the nature of equilibrium states and the phase transitions. We will review some of the main results such as the Mermin-Wagner theorem and the method of reflection positivity, that allows to prove the existence of phase transitions. Finally, we will discuss certain probabilistic representations and their consequences.

    Codes MSC :

    Informations sur la rencontre

    Nom du congrès : Current topics in mathematical physics / Sujets actuels en physique mathématique
    Organisteurs Congrès : Esteban, Maria J. ; Lewin, Mathieu ; Seiringer, Robert
    Dates : 02/09/13 - 07/09/13
    Année de la rencontre : 2013
    URL Congrès : http://ihp2013.math.cnrs.fr/index.php/pr...

    Citation Data

    DOI : 10.24350/CIRM.V.19243003
    Cite this video as: Ueltschi, Daniel (2013). Quantum spin systems and phase transitions. Part 4. CIRM. Audiovisual resource. doi:10.24350/CIRM.V.19243003
    URI : http://dx.doi.org/10.24350/CIRM.V.19243003

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