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Record Nr. |
UNINA9910479927303321 |
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Titolo |
Entropy and the quantum II : Arizona School of Analysis with Applications, March 15-19, 2010, University of Arizona / / Robert Sims, Daniel Ueltschi, editors |
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Pubbl/distr/stampa |
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Providence, Rhode Island : , : American Mathematical Society, , [2011] |
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©2011 |
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ISBN |
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Descrizione fisica |
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1 online resource (234 p.) |
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Collana |
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Contemporary mathematics ; ; 552 |
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Disciplina |
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Soggetti |
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Quantum entropy |
Electronic books. |
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Lingua di pubblicazione |
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Formato |
Materiale a stampa |
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Livello bibliografico |
Monografia |
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Note generali |
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Description based upon print version of record. |
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Nota di bibliografia |
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Includes bibliographical references. |
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Nota di contenuto |
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""Quantum Heisenberg Models and their Probabilistic Representations""""1. Introduction""; ""1.1. Guide to notation""; ""2. Hilbert space, spin operators, Heisenberg Hamiltonian""; ""2.1. Graphs and Hilbert space""; ""2.2. Spin operators""; ""2.3. Hamiltonians and magnetization""; ""2.4. Gibbs states and free energy""; ""2.5. Symmetries""; ""3. Stochastic representations""; ""3.1. Poisson edge process, cycles and loops""; ""3.2. Duhamel expansion""; ""3.3. Tóth's representation of the ferromagnet""; ""3.4. Aizenman-Nachtergaele's representation of the antiferromagnet"" |
""4. Thermodynamic limit and phase transitions""""4.1. Thermodynamic limit""; ""4.2. Ferromagnetic phase transition""; ""4.3. Antiferromagnetic phase transition"" |
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