Mathematical results in quantum mechanics : a conference on QMATH-8, Mathematical Results in Quantum Mechanics Universidad Nacional Autónoma de México, Taxco, México, December 10-14, 2001
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書誌事項
Mathematical results in quantum mechanics : a conference on QMATH-8, Mathematical Results in Quantum Mechanics Universidad Nacional Autónoma de México, Taxco, México, December 10-14, 2001
（Contemporary mathematics, 307）
American Mathematical Society, c2002
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注記
Includes bibliographical references
内容説明・目次
内容説明
This book contains contributions presented at the conference, 'QMath-8: Mathematical Results in Quantum Mechanics', held at Universidad Nacional Autonoma de Mexico in December 2001. The articles cover a wide range of mathematical problems and focus on various aspects of quantum mechanics, quantum field theory, and nuclear physics. Topics vary from spectral properties of the Schrodinger equation of various quantum systems to the analysis of quantum computation algorithms. The book is suitable for graduate students and research mathematicians interested in the mathematical aspects of quantum mechanics.
目次
Blow-up for Schrodinger equation with pointwise nonlinearity by R. Adami Quantum electrodynamics of relativistic bound states with cutoffs. II by J.-M. Barbaroux, M. Dimassi, and J.-C. Guillot Scattering by a slab: An exact calculation by F. Bentosela and M. Tater Crystalline order in one dimensional Thomas-Fermi type models by X. Blanc and C. Le Bris New results on the spectrum of lattice Schrodinger operators and applications by J. Bourgain Reconstruction of the memory from partial boundary measurements by A. L. Bukhgeim, G. V. Dyatlov, and G. Uhlmann Asymptotics for nonlinear dissipative equations in the super critical case by R. E. Cardiel and P. I. Naumkin Edge states for quantum Hall Hamiltonians by J.-M. Combes, P. D. Hislop, and E. Soccorsi A semiclassical approach in linear response theory by M. Combescure and D. Robert Wigner-von Neumann-like potentials by J. Cruz-Sampedro Equilibrium potentials in scattering theory by M. Demuth and A. Noll Straight quantum waveguides with combined boundary conditions by J. Dittrich and J. Kriz Perturbation theory for the quantum time-evolution in rotating potentials by V. Enss, V. Kostrykin, and R. Schrader Two dimensional Pauli operator via scalar potential by L. Erdos and V. Vougalter A max-min principle for the ground state of the Dirac-Fock functional by M. J. Esteban and E. Sere On the regularity of the density of electronic wave functions by S. Fournais, M. Hoffmann-Ostenhof, T. Hoffmann-Ostenhof, and T. O. Sorensen Enhanced binding through coupling to a photon field by C. Hainzl The large radius limit for coherent states on spheres by B. C. Hall and J. J. Mitchell Quantum scattering for potentials homogeneous of degree zero by I. Herbst and E. Skibsted Existence of the density of states for one-dimensional alloy-type potentials with small support by W. Kirsch and I. Veselic Statistical ensembles and density of states by V. Kostrykin and R. Schrader The Cauchy problem for the Toda lattice with a class of non-stabilized initial data by M. Kudryavtsev Absolutely continuous spectrum of Jacobi matrices by A. Laptev, S. Naboko, and O. Safronov Stability of matter in relativistic quantum electrodynamics by E. H. Lieb and M. Loss The algebra of observables in a magnetic field by M. Mantoiu and R. Purice Recent developments in value distribution theory for Schrodinger operators on the half line by D. B. Pearson Long time propagation results in quantum mechanics by D. Robert Comments on adiabatic quantum algorithms by M. B. Ruskai Tunneling destruction for a nonlinear Schrodinger equation by A. Sacchetti Symmetry breaking in a model of a rotating Bose gas by R. Seiringer Euler's constant in Segal-Bargmann analysis by S. B. Sontz Maxwell with a touch of Schrodinger by A. Tip Exponentially accurate semiclassical asymptotics by J. H. Toloza Some properties of the eigenvalues of a Schrodinger equation with energy-dependent potential by C. van der Mee and V. Pivovarchik The Bargmann transform for $L^2(S^3)$ and regularization of the Kepler problem by C. Villegas-Blas Schrodinger equations with superquadratic potentials by K. Yajima and G. Zhang Band spectrum of the Laplacian on a slab with the Dirichlet boundary condition on a grid by K. Yoshitomi Other talks Participants.
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