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101 0 $aeng
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181   $ctxt
182   $cc
183   $acr
200 10$aEntropy and the quantum II $eArizona School of Analysis with Applications, March 15-19, 2010, University of Arizona /$fRobert Sims, Daniel Ueltschi, editors
210  1$aProvidence, Rhode Island :$cAmerican Mathematical Society,$d[2011]
210  4$d©2011
215   $a1 online resource (234 p.)
225 1 $aContemporary mathematics ;$v552
300   $aDescription based upon print version of record.
311   $a0-8218-6898-5 
320   $aIncludes bibliographical references.
327   $a""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. TA?łth's representation of the ferromagnet""; ""3.4. Aizenman-Nachtergaele's representation of the antiferromagnet""
327   $a""4. Thermodynamic limit and phase transitions""""4.1. Thermodynamic limit""; ""4.2. Ferromagnetic phase transition""; ""4.3. Antiferromagnetic phase transition""
410  0$aContemporary mathematics (American Mathematical Society) ;$v552.
606   $aQuantum entropy$vCongresses
608   $aElectronic books.
615  0$aQuantum entropy
676   $a530.12
702   $aSims$b Robert$f1975-
702   $aUeltschi$b Daniel$f1969-
712 12$aArizona School of Analysis with Applications
801  0$bMiAaPQ
801  1$bMiAaPQ
801  2$bMiAaPQ
906   $aBOOK
912   $a9910479927303321
996   $aEntropy and the quantum II$9852393
997   $aUNINA