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