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Adventures in Mathematical Physics
Edited by: François Germinet, Université de Cergy-Pontoise, France, and Peter D. Hislop, University of Kentucky, Lexington, KY
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Contemporary Mathematics
2007; 256 pp; softcover
Volume: 447
ISBN-10: 0-8218-4241-2
ISBN-13: 978-0-8218-4241-6
List Price: US$81
Member Price: US$64.80
Order Code: CONM/447
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This volume consists of refereed research articles written by some of the speakers at this international conference in honor of the sixty-fifth birthday of Jean-Michel Combes. The topics span modern mathematical physics with contributions on state-of-the-art results in the theory of random operators, including localization for random Schrödinger operators with general probability measures, random magnetic Schrödinger operators, and interacting multiparticle operators with random potentials; transport properties of Schrödinger operators and classical Hamiltonian systems; equilibrium and nonequilibrium properties of open quantum systems; semiclassical methods for multiparticle systems and long-time evolution of wave packets; modeling of nanostructures; properties of eigenfunctions for first-order systems and solutions to the Ginzburg-Landau system; effective Hamiltonians for quantum resonances; quantum graphs, including scattering theory and trace formulas; random matrix theory; and quantum information theory. Graduate students and researchers will benefit from the accessibility of these articles and their current bibliographies.

Readership

Graduate students and research mathematicians interested in mathematical physics and statistical mechanics.

Table of Contents

  • W. H. Aschbacher -- On the emptiness formation probability in quasi-free states
  • V. Chulaevsky -- Wegner-Stollmann type estimates for some quantum lattice systems
  • M. Combescure -- The mutually unbiased bases revisited
  • H. D. Cornean, T. G. Pedersen, and B. Ricaud -- Pertubative vs. variational methods in the study of carbon nanotubes
  • S. De Bièvre, P. Lafitte, and P. E. Parris -- Normal transport at positive temperatures in classical Hamiltonian open systems
  • P. Exner and J. Lipovský -- Equivalence of resolvent and scattering resonances on quantum graphs
  • S. Fournais and B. Helffer -- Optimal uniform elliptic estimates for the Ginzburg-Landau system
  • F. Germinet and A. Klein -- Localization for a continuum Cantor-Anderson Hamiltonian
  • F. Germinet and S. Tcheremchantsev -- Generalized fractal dimensions on the negative axis for non compactly supported measures
  • F. Ghribi, P. D. Hislop, and F. Klopp -- Localization for Schrödinger operators with random vector potentials
  • G. A. Hagedorn and A. Joye -- Vibrational levels associated with hydrogen bonds and semiclassical Hamiltonian normal forms
  • V. Jakšiç and C.-A. Pillet -- On the strict positivity of entropy production
  • A. Jensen and G. Nenciu -- Uniqueness results for transient dynamics of quantum systems
  • V. Kostrykin, J. Potthoff, and R. Schrader -- Heat kernels on metric graphs and a trace formula
  • J. L. Lebowitz, A. Lytova, and L. Pastur -- On a random matrix model of quantum relaxation
  • D. Robert -- Revivals of wave packets and Bohr-Sommerfeld quantization rules
  • L. E. Thomas and Y. Wang -- On a linear stochastic wave equation modeling heat flow
  • D. R. Yafaev -- Exponential decay of eigenfunctions of first order systems
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