Contemporary Mathematics 2002; 350 pp; softcover Volume: 307 ISBN10: 0821829009 ISBN13: 9780821829004 List Price: US$103 Member Price: US$82.40 Order Code: CONM/307
 This book contains contributions presented at the conference, "QMath8: Mathematical Results in Quantum Mechanics", held at Universidad Nacional Autónoma de México 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 Schrödinger 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. Readership Graduate students and research mathematicians interested in quantum mechanics. Table of Contents  R. Adami  Blowup for Schrödinger equation with pointwise nonlinearity
 J.M. Barbaroux, M. Dimassi, and J.C. Guillot  Quantum electrodynamics of relativistic bound states with cutoffs. II
 F. Bentosela and M. Tater  Scattering by a slab: An exact calculation
 X. Blanc and C. Le Bris  Crystalline order in one dimensional ThomasFermi type models
 J. Bourgain  New results on the spectrum of lattice Schrödinger operators and applications
 A. L. Bukhgeĭm, G. V. Dyatlov, and G. Uhlmann  Reconstruction of the memory from partial boundary measurements
 R. E. Cardiel and P. I. Naumkin  Asymptotics for nonlinear dissipative equations in the super critical case
 J.M. Combes, P. D. Hislop, and E. Soccorsi  Edge states for quantum Hall Hamiltonians
 M. Combescure and D. Robert  A semiclassical approach in linear response theory
 J. CruzSampedro  Wignervon Neumannlike potentials
 M. Demuth and A. Noll  Equilibrium potentials in scattering theory
 J. Dittrich and J. Kříž  Straight quantum waveguides with combined boundary conditions
 V. Enss, V. Kostrykin, and R. Schrader  Perturbation theory for the quantum timeevolution in rotating potentials
 L. Erdős and V. Vougalter  Two dimensional Pauli operator via scalar potential
 M. J. Esteban and E. Séré  A maxmin principle for the ground state of the DiracFock functional
 S. Fournais, M. HoffmannOstenhof, T. HoffmannOstenhof, and T. Sørensen  On the regularity of the density of electronic wave functions
 C. Hainzl  Enhanced binding through coupling to a photon field
 B. C. Hall and J. J. Mitchell  The large radius limit for coherent states on spheres
 I. Herbst and E. Skibsted  Quantum scattering for potentials homogeneous of degree zero
 W. Kirsch and I. Veselić  Existence of the density of states for onedimensional alloytype potentials with small support
 V. Kostrykin and R. Schrader  Statistical ensembles and density of states
 M. Kudryavtsev  The Cauchy problem for the Toda lattice with a class of nonstabilized initial data
 A. Laptev, S. Naboko, and O. Safronov  Absolutely continuous spectrum of Jacobi matrices
 E. H. Lieb and M. Loss  Stability of matter in relativistic quantum electrodynamics
 M. Măntoiu and R. Purice  The algebra of observables in a magnetic field
 D. B. Pearson  Recent developments in value distribution theory for Schrödinger operators on the half line
 D. Robert  Long time propagation results in quantum mechanics
 M. B. Ruskai  Comments on adiabatic quantum algorithms
 A. Sacchetti  Tunneling destruction for a nonlinear Schrödinger equation
 R. Seiringer  Symmetry breaking in a model of a rotating Bose gas
 S. B. Sontz  Euler's constant in SegalBargmann analysis
 A. Tip  Maxwell with a touch of Schrödinger
 J. H. Toloza  Exponentially accurate semiclassical asymptotics
 C. van der Mee and V. Pivovarchik  Some properties of the eigenvalues of a Schrödinger equation with energydependent potential
 C. VillegasBlas  The Bargmann transform for \(L^2(S^3)\) and regularization of the Kepler problem
 K. Yajima and G. Zhang  Schrödinger equations with superquadratic potentials
 K. Yoshitomi  Band spectrum of the Laplacian on a slab with the Dirichlet boundary condition on a grid
 Other talks
 Participants
