02875nam 2200553 450 991082176020332120220823044439.00-8218-8208-20-8218-5853-X(CKB)3240000000070052(EBL)3113397(SSID)ssj0000629295(PQKBManifestationID)11380078(PQKBTitleCode)TC0000629295(PQKBWorkID)10731158(PQKB)11656694(MiAaPQ)EBC3113397(RPAM)16302436(PPN)19710858X(EXLCZ)99324000000007005220100625h20102010 uy| 0engur|n|---|||||txtccrEntropy and the quantum Arizona School of Analysis with Applications, March 16-20, 2009, University of Arizona /Robert Sims, Daniel Ueltschi, editorsProvidence, Rhode Island :American Mathematical Society,[2010]©20101 online resource (216 p.)Contemporary mathematics,5290271-4132These notes are motivated by the school Entropy and the Quantum that took place in Tucson, Arizona, on March 16-20, 2009."--Pref.0-8218-5247-7 Includes bibliographical references.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 --Contemporary mathematics (American Mathematical Society).5290271-4132Quantum entropyCongressesQuantum entropy530.12Sims Robert1975-Ueltschi Daniel1969-Arizona School of Analysis with ApplicationsMiAaPQMiAaPQMiAaPQBOOK9910821760203321Entropy and the quantum766853UNINA