LEADER 02875nam 2200553 450 001 9910788632803321 005 20220823044439.0 010 $a0-8218-8208-2 010 $a0-8218-5853-X 035 $a(CKB)3240000000070052 035 $a(EBL)3113397 035 $a(SSID)ssj0000629295 035 $a(PQKBManifestationID)11380078 035 $a(PQKBTitleCode)TC0000629295 035 $a(PQKBWorkID)10731158 035 $a(PQKB)11656694 035 $a(MiAaPQ)EBC3113397 035 $a(RPAM)16302436 035 $a(PPN)19710858X 035 $a(EXLCZ)993240000000070052 100 $a20100625h20102010 uy| 0 101 0 $aeng 135 $aur|n|---||||| 181 $ctxt 182 $cc 183 $acr 200 10$aEntropy and the quantum $eArizona School of Analysis with Applications, March 16-20, 2009, University of Arizona /$fRobert Sims, Daniel Ueltschi, editors 210 1$aProvidence, Rhode Island :$cAmerican Mathematical Society,$d[2010] 210 4$d©2010 215 $a1 online resource (216 p.) 225 1 $aContemporary mathematics,$v529$x0271-4132 300 $aThese notes are motivated by the school Entropy and the Quantum that took place in Tucson, Arizona, on March 16-20, 2009."--Pref. 311 $a0-8218-5247-7 320 $aIncludes bibliographical references. 327 $aContents -- Preface -- List of Participants -- Outline of Quantum Mechanics -- 1. The setting for quantum mechanics -- 2. The Schrödinger equation -- 3. Self-adjoint operators -- 4. The role of Planck's constant -- 5. Spin and statistics -- 6. Fundamental structures of quantum mechanics -- Inequalities for Schrödinger Operators and Applications to the Stability of Matter Problem -- Trace Inequalities and Quantum Entropy: An Introductory Course -- 1. Introduction -- 2. Operator convexity and monotonicity -- 3. The joint convexity of certain operator functions -- 4. Projections onto *-subalgebras and convexity inequalities -- 5. Tensor products -- 6. Lieb's Concavity Theorem and related results -- 7. Lp norms for matrices and entropy inequalities -- 8. Brascamp-Lieb type inequalities for traces -- Acknowledgements -- References -- Lieb-Robinson Bounds in Quantum Many-Body Physics -- Remarks on the Additivity Conjectures for Quantum Channels -- On the Static and Dynamical Collapse of White Dwarfs -- 410 0$aContemporary mathematics (American Mathematical Society).$v529$x0271-4132 606 $aQuantum entropy$vCongresses 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 $a9910788632803321 996 $aEntropy and the quantum$9766853 997 $aUNINA