02483nam 2200553 450 991047992730332120180731045126.00-8218-8231-7(CKB)3240000000070075(EBL)3113155(SSID)ssj0000629296(PQKBManifestationID)11425382(PQKBTitleCode)TC0000629296(PQKBWorkID)10730323(PQKB)11182434(MiAaPQ)EBC3113155(PPN)197108822(EXLCZ)99324000000007007520110708h20112011 uy| 0engur|n|---|||||txtccrEntropy and the quantum II Arizona School of Analysis with Applications, March 15-19, 2010, University of Arizona /Robert Sims, Daniel Ueltschi, editorsProvidence, Rhode Island :American Mathematical Society,[2011]©20111 online resource (234 p.)Contemporary mathematics ;552Description based upon print version of record.0-8218-6898-5 Includes bibliographical references.""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""Contemporary mathematics (American Mathematical Society) ;552.Quantum entropyCongressesElectronic books.Quantum entropy530.12Sims Robert1975-Ueltschi Daniel1969-Arizona School of Analysis with ApplicationsMiAaPQMiAaPQMiAaPQBOOK9910479927303321Entropy and the quantum II852393UNINA