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Record Nr. |
UNINA9910788632803321 |
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Titolo |
Entropy and the quantum : Arizona School of Analysis with Applications, March 16-20, 2009, 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, , [2010] |
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©2010 |
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ISBN |
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0-8218-8208-2 |
0-8218-5853-X |
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Descrizione fisica |
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1 online resource (216 p.) |
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Collana |
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Contemporary mathematics, ; 529 , 0271-4132 |
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Disciplina |
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Soggetti |
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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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These notes are motivated by the school Entropy and the Quantum that took place in Tucson, Arizona, on March 16-20, 2009."--Pref. |
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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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Contents -- Preface -- List of Participants -- Outline of Quantum Mechanics -- 1. The setting for quantum mechanics -- 2. The Schrödinger equation -- 3. Self-adjoint operators -- 4. The role of Planck's constant -- 5. Spin and statistics -- 6. Fundamental structures of quantum mechanics -- Inequalities for Schrödinger Operators and Applications to the Stability of Matter Problem -- Trace Inequalities and Quantum Entropy: An Introductory Course -- 1. Introduction -- 2. Operator convexity and monotonicity -- 3. The joint convexity of certain operator functions -- 4. Projections onto *-subalgebras and convexity inequalities -- 5. Tensor products -- 6. Lieb's Concavity Theorem and related results -- 7. Lp norms for matrices and entropy inequalities -- 8. Brascamp-Lieb type inequalities for traces -- Acknowledgements -- References -- Lieb-Robinson Bounds in Quantum Many-Body Physics -- Remarks on the Additivity Conjectures for Quantum Channels -- On the Static and Dynamical Collapse of White Dwarfs -- |
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