The conditional entropy in the microcanonical ensemble: The quantum lattice |
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| Authors: | David Dietz William Greenberg |
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| Affiliation: | U.S. Naval Weapons Evaluation Facility, Code AT-8, Kirtland Air Force Base, Albuquerque, New Mexico 87111, USA;Department of Mathematics, Virginia Polytechnic Institute & State University, Blacksburg, Virginia 24061, USA |
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| Abstract: | The existence of the conditional entropy in the thermodynamic limit for a class of long range compatible observables operating on a quantum lattice is exhibited for the microcanonical ensemble. This limit is demonstrated first along a special sequence of cubes with a fixed contraction parameter. Properties of the parameter dependent limit are utilized to remove the parameter, and the results are extended to van Hove sequences approximable by cubes. |
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