Entropy and the quantum II : Arizona School of Analysis with Applications, March 1519, 2010, University of Arizona

Contributor(s): Sims Robert | Ueltschi DanielMaterial type: Computer fileComputer fileSeries: Contemporary mathematics ; v. 552Publication details: Providence, R.I. : American Mathematical Society, c2011Description: 1 online resource (viii, 224 p. : ill.)ISBN: 9780821882313 (online)Subject(s): matrix theory Special matrices Random matrices | Linear and multilinear algebra | Partial differential equations Equations of mathematical physics and other areas of application Boltzmann equations | Partial differential equations Spectral theory and eigenvalue problems Estimation of eigenvalues, upper and lower bounds | Quantum entropyOnline resources: Click here to access online
Contents:
Kinetic theory and the Kac Master equation ; Isoperimetric inequalities for eigenvalues of the Laplacian ; Maxtomean ratio estimates for the fundamental eigenfunction of the Dirichlet Laplacian ; An introduction to the mathematics of Anderson localization ; Schrodinger operators with potential Eric Carlen Maria C Carvalho and Michael Loss ; Rafael D Benguria ; Najoua Gamara Abdelhalim Hasnaoui and Lotfi Hermi ; Gunter Stolz ; Helge Kruger ; Alain Joye ; Shannon Starr ; Anna Maltsev and Benjamin Schlein ; Bruno Nachtergaele Anna Vershynina and Valentin A Zagrebnov ; Christina Goldschmidt Daniel Ueltschi and Peter Windridge
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Link to resource Accessible Online EBK21556

Includes bibliographical references.

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