Entropy and the quantum : Arizona School of Analysis with Applications, March 16-20, 2009, University of Arizona / / Robert Sims, Daniel Ueltschi, editors

• Pubblicazione: Providence, Rhode Island : , : American Mathematical Society, , [2010]; ©2010
• Descrizione fisica: 1 online resource (216 p.)
• Disciplina: 530.12
• Soggetto topico: Quantum entropy
• Persona (resp. second.): SimsRobert <1975->; UeltschiDaniel <1969->
• Note generali: These notes are motivated by the school Entropy and the Quantum that took place in Tucson, Arizona, on March 16-20, 2009."--Pref.
• Nota di bibliografia: Includes bibliographical references.
• Nota di contenuto: 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 --
• Titolo autorizzato: Entropy and the quantum
• ISBN: 0-8218-8208-2; 0-8218-5853-X
• Formato: Materiale a stampa
• Livello bibliografico: Monografia
• Lingua di pubblicazione: Inglese
• Record Nr.: 9910788632803321
• Lo trovi qui: Univ. Federico II
• Serie: Contemporary mathematics (American Mathematical Society). ; 529 . 0271-4132