Statistical mechanics of integrable quantum spin systems
نویسندگان
چکیده
منابع مشابه
Statistical Mechanics of Quantum Spin Systems. Ill
In the algebraic formulation the thermodynamic pressure, or free energy, of a spin system is a convex continuous function P defined on a Banach space ~3 of translationally invariant interactions. We prove that each tangent functional to the graph of P defines a set of translationally invariant thermodynamic expectation values, l~Iore precisely each tangent functional defines a translationally i...
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We review briefly some ideas and constructions for dKP (from KP) and its Hamiltonian dynamics, discuss its quantization via Moyal back to KP, and treat the KP hierarchy itself as a sequence of quantum Hamiltonian systems based on the dKP dynamics. Some connections to q-theories are also indicated. The constructions are all well known (cf. [6, 8, 11, 12, 13, 14, 15, 16, 17, 18, 19, 23, 24, 29, 3...
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Aim of this paper is to give an extensive treatment of bipartite mean field spin systems, ordered and disordered: at first, bipartite ferromagnets are investigated, achieving an explicit expression for the free energy trough a new minimax variational principle. Furthermore via the Hamilton-Jacobi technique the same free energy structure is obtained together with the existence of its thermodynam...
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Robert A. DiStasio, Jr.,1 Étienne Marcotte,2 Roberto Car,1,2,3,4 Frank H. Stillinger,1 and Salvatore Torquato1,2,3,4 1Department of Chemistry, Princeton University, Princeton, New Jersey 08544, USA 2Department of Physics, Princeton University, Princeton, New Jersey 08544, USA 3Princeton Institute for the Science and Technology of Materials, Princeton University, Princeton, New Jersey 08544, USA...
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ژورنال
عنوان ژورنال: SciPost Physics Lecture Notes
سال: 2020
ISSN: 2590-1990
DOI: 10.21468/scipostphyslectnotes.16