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Entropy and the Quantum II
 
Edited by: Robert Sims University of Arizona, Tucson, AZ
Daniel Ueltschi University of Warwick, Coventry, United Kingdom
Entropy and the Quantum II
Softcover ISBN:  978-0-8218-6898-0
Product Code:  CONM/552
List Price: $130.00
MAA Member Price: $117.00
AMS Member Price: $104.00
eBook ISBN:  978-0-8218-8231-3
Product Code:  CONM/552.E
List Price: $125.00
MAA Member Price: $112.50
AMS Member Price: $100.00
Softcover ISBN:  978-0-8218-6898-0
eBook: ISBN:  978-0-8218-8231-3
Product Code:  CONM/552.B
List Price: $255.00 $192.50
MAA Member Price: $229.50 $173.25
AMS Member Price: $204.00 $154.00
Entropy and the Quantum II
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Entropy and the Quantum II
Edited by: Robert Sims University of Arizona, Tucson, AZ
Daniel Ueltschi University of Warwick, Coventry, United Kingdom
Softcover ISBN:  978-0-8218-6898-0
Product Code:  CONM/552
List Price: $130.00
MAA Member Price: $117.00
AMS Member Price: $104.00
eBook ISBN:  978-0-8218-8231-3
Product Code:  CONM/552.E
List Price: $125.00
MAA Member Price: $112.50
AMS Member Price: $100.00
Softcover ISBN:  978-0-8218-6898-0
eBook ISBN:  978-0-8218-8231-3
Product Code:  CONM/552.B
List Price: $255.00 $192.50
MAA Member Price: $229.50 $173.25
AMS Member Price: $204.00 $154.00
  • Book Details
     
     
    Contemporary Mathematics
    Volume: 5522011; 224 pp
    MSC: Primary 35; 60; 81; 82; 15;

    The goal of the Entropy and the Quantum schools has been to introduce young researchers to some of the exciting current topics in mathematical physics. These topics often involve analytic techniques that can easily be understood with a dose of physical intuition.

    In March of 2010, four beautiful lectures were delivered on the campus of the University of Arizona. They included Isoperimetric Inequalities for Eigenvalues of the Laplacian by Rafael Benguria, Universality of Wigner Random Matrices by Laszlo Erdős, Kinetic Theory and the Kac Master Equation by Michael Loss, and Localization in Disordered Media by Günter Stolz. Additionally, there were talks by other senior scientists and a number of interesting presentations by junior participants. The range of the subjects and the enthusiasm of the young speakers are testimony to the great vitality of this field, and the lecture notes in this volume reflect well the diversity of this school.

    Readership

    Graduate students and research mathematicians interested in mathematical physics and analysis.

  • Table of Contents
     
     
    • Articles
    • Eric Carlen, Maria C. Carvalho and Michael Loss — Kinetic theory and the Kac Master equation
    • Rafael D. Benguria — Isoperimetric inequalities for eigenvalues of the Laplacian
    • Najoua Gamara, Abdelhalim Hasnaoui and Lotfi Hermi — Max-to-mean ratio estimates for the fundamental eigenfunction of the Dirichlet Laplacian
    • Günter Stolz — An introduction to the mathematics of Anderson localization
    • Helge Krüger — Schrödinger operators with potential $V(n)=n^{-\gamma }\cos (2\pi n^{\rho })$
    • Alain Joye — Random unitary models and their localization properties
    • Shannon Starr — Universality of correlations for random analytic functions
    • Anna Maltsev and Benjamin Schlein — A Wegner estimate for Wigner matrices
    • Bruno Nachtergaele, Anna Vershynina and Valentin A. Zagrebnov — Lieb-Robinson bounds and existence of the thermodynamic limit for a class of irreversible quantum dynamics
    • Christina Goldschmidt, Daniel Ueltschi and Peter Windridge — Quantum Heisenberg models and their probabilistic representations
  • Additional Material
     
     
  • Requests
     
     
    Review Copy – for publishers of book reviews
    Permission – for use of book, eBook, or Journal content
    Accessibility – to request an alternate format of an AMS title
Volume: 5522011; 224 pp
MSC: Primary 35; 60; 81; 82; 15;

The goal of the Entropy and the Quantum schools has been to introduce young researchers to some of the exciting current topics in mathematical physics. These topics often involve analytic techniques that can easily be understood with a dose of physical intuition.

In March of 2010, four beautiful lectures were delivered on the campus of the University of Arizona. They included Isoperimetric Inequalities for Eigenvalues of the Laplacian by Rafael Benguria, Universality of Wigner Random Matrices by Laszlo Erdős, Kinetic Theory and the Kac Master Equation by Michael Loss, and Localization in Disordered Media by Günter Stolz. Additionally, there were talks by other senior scientists and a number of interesting presentations by junior participants. The range of the subjects and the enthusiasm of the young speakers are testimony to the great vitality of this field, and the lecture notes in this volume reflect well the diversity of this school.

Readership

Graduate students and research mathematicians interested in mathematical physics and analysis.

  • Articles
  • Eric Carlen, Maria C. Carvalho and Michael Loss — Kinetic theory and the Kac Master equation
  • Rafael D. Benguria — Isoperimetric inequalities for eigenvalues of the Laplacian
  • Najoua Gamara, Abdelhalim Hasnaoui and Lotfi Hermi — Max-to-mean ratio estimates for the fundamental eigenfunction of the Dirichlet Laplacian
  • Günter Stolz — An introduction to the mathematics of Anderson localization
  • Helge Krüger — Schrödinger operators with potential $V(n)=n^{-\gamma }\cos (2\pi n^{\rho })$
  • Alain Joye — Random unitary models and their localization properties
  • Shannon Starr — Universality of correlations for random analytic functions
  • Anna Maltsev and Benjamin Schlein — A Wegner estimate for Wigner matrices
  • Bruno Nachtergaele, Anna Vershynina and Valentin A. Zagrebnov — Lieb-Robinson bounds and existence of the thermodynamic limit for a class of irreversible quantum dynamics
  • Christina Goldschmidt, Daniel Ueltschi and Peter Windridge — Quantum Heisenberg models and their probabilistic representations
Review Copy – for publishers of book reviews
Permission – for use of book, eBook, or Journal content
Accessibility – to request an alternate format of an AMS title
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