Entropy and the quantum II : [electronic resource] Arizona School of Analysis with Applications, March 15-19, 2010, University of Arizona / Robert Sims, Daniel Ueltschi, editors.

By: (2nd : Arizona School of Analysis with Applications (2nd : 2010 : University of Arizona)Contributor(s): Sims, Robert, 1975- | Ueltschi, Daniel, 1969-Material type: TextTextSeries: Contemporary mathematics ; v. 552Publication details: Providence, R.I. : American Mathematical Society, c2011Description: 1 online resource (viii, 224 p. : ill.)ISBN: 9780821882313 (online)Subject(s): Quantum entropy -- Congresses | Linear and multilinear algebra; matrix theory -- Special matrices -- Random matrices. $2 msc | Partial differential equations -- Spectral theory and eigenvalue problems -- Estimation of eigenvalues, upper and lower bounds. $2 msc | Partial differential equations -- Equations of mathematical physics and other areas of application -- Boltzmann equations. $2 msc | Probability theory and stochastic processes -- Probability theory on algebraic and topological structures -- Limit theorems for vector-valued random variables (infinite-dimensional case). $2 msc | Probability theory and stochastic processes -- Special processes -- Interacting random processes; statistical mechanics type models; percolation theory. $2 msc | Quantum theory -- General mathematical topics and methods in quantum theory -- Selfadjoint operator theory in quantum theory, including spectral analysis. $2 msc | Statistical mechanics, structure of matter -- Equilibrium statistical mechanics -- Quantum equilibrium statistical mechanics (general). $2 msc | Statistical mechanics, structure of matter -- Equilibrium statistical mechanics -- Disordered systems (random Ising models, random Schr�eodinger operators, etc.). $2 msc | Statistical mechanics, structure of matter -- Time-dependent statistical mechanics (dynamic and nonequilibrium) -- Quantum dynamics and nonequilibrium statistical mechanics (general). $2 msc | Statistical mechanics, structure of matter -- Time-dependent statistical mechanics (dynamic and nonequilibrium) -- Kinetic theory of gases. $2 mscAdditional physical formats: Entropy and the quantum II :DDC classification: 530.12 LOC classification: QC174.85.Q83 | A75 2010Other classification: 15B52 | 35P15 | 35Q20 | 60B12 | 60K35 | 81Q10 | 82B10 | 82B44 | 82C10 | 82C40 Online resources: Contents | Contents
Contents:
Kinetic theory and the Kac Master equation / Eric Carlen, Maria C. Carvalho and Michael Loss -- http://www.ams.org/conm/552/ http://dx.doi.org/10.1090/conm/552/10908 Isoperimetric inequalities for eigenvalues of the Laplacian / Rafael D. Benguria -- http://www.ams.org/conm/552/ http://dx.doi.org/10.1090/conm/552/10909 Max-to-mean ratio estimates for the fundamental eigenfunction of the Dirichlet Laplacian / Najoua Gamara, Abdelhalim Hasnaoui and Lotfi Hermi -- http://www.ams.org/conm/552/ http://dx.doi.org/10.1090/conm/552/10910 An introduction to the mathematics of Anderson localization / G�unter Stolz -- http://www.ams.org/conm/552/ http://dx.doi.org/10.1090/conm/552/10911 Schr�odinger operators with potential $V(n)=n^{-\gamma }\cos (2\pi n^{\rho })$ / Helge Kr�uger -- http://www.ams.org/conm/552/ http://dx.doi.org/10.1090/conm/552/10912 Random unitary models and their localization properties / Alain Joye -- http://www.ams.org/conm/552/ http://dx.doi.org/10.1090/conm/552/10913 Universality of correlations for random analytic functions / Shannon Starr -- http://www.ams.org/conm/552/ http://dx.doi.org/10.1090/conm/552/10914 A Wegner estimate for Wigner matrices / Anna Maltsev and Benjamin Schlein -- http://www.ams.org/conm/552/ http://dx.doi.org/10.1090/conm/552/10915 Lieb-Robinson bounds and existence of the thermodynamic limit for a class of irreversible quantum dynamics / Bruno Nachtergaele, Anna Vershynina and Valentin A. Zagrebnov -- http://www.ams.org/conm/552/ http://dx.doi.org/10.1090/conm/552/10916 Quantum Heisenberg models and their probabilistic representations / Christina Goldschmidt, Daniel Ueltschi and Peter Windridge -- http://www.ams.org/conm/552/ http://dx.doi.org/10.1090/conm/552/10917
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Includes bibliographical references.

Kinetic theory and the Kac Master equation / Eric Carlen, Maria C. Carvalho and Michael Loss -- Isoperimetric inequalities for eigenvalues of the Laplacian / Rafael D. Benguria -- Max-to-mean ratio estimates for the fundamental eigenfunction of the Dirichlet Laplacian / Najoua Gamara, Abdelhalim Hasnaoui and Lotfi Hermi -- An introduction to the mathematics of Anderson localization / G�unter Stolz -- Schr�odinger operators with potential $V(n)=n^{-\gamma }\cos (2\pi n^{\rho })$ / Helge Kr�uger -- Random unitary models and their localization properties / Alain Joye -- Universality of correlations for random analytic functions / Shannon Starr -- A Wegner estimate for Wigner matrices / Anna Maltsev and Benjamin Schlein -- Lieb-Robinson bounds and existence of the thermodynamic limit for a class of irreversible quantum dynamics / Bruno Nachtergaele, Anna Vershynina and Valentin A. Zagrebnov -- Quantum Heisenberg models and their probabilistic representations / Christina Goldschmidt, Daniel Ueltschi and Peter Windridge --

http://www.ams.org/conm/552/

http://dx.doi.org/10.1090/conm/552/10908

http://www.ams.org/conm/552/

http://dx.doi.org/10.1090/conm/552/10909

http://www.ams.org/conm/552/

http://dx.doi.org/10.1090/conm/552/10910

http://www.ams.org/conm/552/

http://dx.doi.org/10.1090/conm/552/10911

http://www.ams.org/conm/552/

http://dx.doi.org/10.1090/conm/552/10912

http://www.ams.org/conm/552/

http://dx.doi.org/10.1090/conm/552/10913

http://www.ams.org/conm/552/

http://dx.doi.org/10.1090/conm/552/10914

http://www.ams.org/conm/552/

http://dx.doi.org/10.1090/conm/552/10915

http://www.ams.org/conm/552/

http://dx.doi.org/10.1090/conm/552/10916

http://www.ams.org/conm/552/

http://dx.doi.org/10.1090/conm/552/10917

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Electronic reproduction. Providence, Rhode Island : American Mathematical Society. 2012

Mode of access : World Wide Web

Description based on print version record.

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