Contemporary Mathematics 2007; 256 pp; softcover Volume: 447 ISBN10: 0821842412 ISBN13: 9780821842416 List Price: US$86 Member Price: US$68.80 Order Code: CONM/447
 This volume consists of refereed research articles written by some of the speakers at this international conference in honor of the sixtyfifth birthday of JeanMichel Combes. The topics span modern mathematical physics with contributions on stateoftheart 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 longtime evolution of wave packets; modeling of nanostructures; properties of eigenfunctions for firstorder systems and solutions to the GinzburgLandau 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 quasifree states
 V. Chulaevsky  WegnerStollmann 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 GinzburgLandau system
 F. Germinet and A. Klein  Localization for a continuum CantorAnderson 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 BohrSommerfeld 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
