Contemporary Mathematics 1998; 221 pp; softcover Volume: 217 ISBN10: 0821808613 ISBN13: 9780821808610 List Price: US$56 Member Price: US$44.80 Order Code: CONM/217
 This volume consists of selected contributions from the "Georgia Institute of TechnologyUAB International Conference on Differential Equations and Mathematical Physics". The book offers a combination of certain emerging topics and important research advances in this active area. The topics range widely and include magnetic Schrödinger operators, the Boltzmann equations, nonlinear variational problems, and noncommutative probability theory. Some articles were included for their aesthetic value and others to present an overview. All articles were reviewed for scientific content and readability. The text is suitable for graduate and advanced graduate courses and seminars on the topic. Readership Graduate students, research mathematicians and physicists working in mathematical physics, applied mathematics, analysis, and differential equations. Table of Contents  R. D. Benguria and M. C. Depassier  A variational method for nonlinear eigenvalue problems
 J. FleckingerPellé and P. Takáč  Maximum and antimaximum principles for some elliptic problems
 M. HoffmannOstenhof, T. HoffmannOstenhof, and N. Nadirashvili  On the nodal line conjecture
 K. Yajima  On fundamental solution of time dependent Schrödinger equations
 P. Exner  Laterally coupled quantum waveguides
 A. Kupiainen  Some mathematical problems in passive advection
 E. H. Lieb  Stability and instability of relativistic electrons in classical electromagnetic fields
 R. Brummelhuis and M. B. Ruskai  A simple onedimensional model for atoms in strong magnetic fields
 G. Zhislin and S. Vugal'ter  Geometric methods for manyparticle Hamiltonians with magnetic fields
 L. Erdős and H.T. Yau  Linear Boltzmann equation as scaling limit of quantum Lorentz gas
 S. Molchanov  Multiscattering on sparse bumps
 A. Ya. Gordon  Purely continuous spectrum for generic almostperiodic potential
 J. M. Combes, P. D. Hislop, and E. Mourre  Correlated Wegner inequalities for random Schrödinger operators
 D. Petz and F. Hiai  Logarithmic energy as an entropy functional
