Advances in Soviet Mathematics 1991; 194 pp; hardcover Volume: 5 ISBN10: 0821841041 ISBN13: 9780821841044 List Price: US$96 Member Price: US$76.80 Order Code: ADVSOV/5
 This collection deals with several different topics related to the construction and spectral analysis of Hamiltonians of various systems arising in mathematical physics. Included are a study of the disposition and character of resonances for certain operators, with applications to solid body physics; a survey of work in the perturbation of Hamiltonians in fermion systems; an examination of the construction of the Hamiltonian for three different pointwise interacting quantum particles; and a study of the lower branches of the Hamiltonian of the lattice model for chromodynamics. The final paper presents an extensive survey of problems related to the spectrum of finiteparticle lattice Hamiltonians, which arise in quantum field theory and in models in the theory of solid bodies. The book provides an introduction of sorts to a series of new methods and problems in mathematical physics. Table of Contents  Zh. I. Abdullaev and S. N. Lakaev  On the spectral properties of the matrixvalued Friedrichs model
 D. D. Botvich and V. A. Malyshev  Asymptotic completeness and all that for an infinite number of fermions
 A. M. Mel'ikov and R. A. Minlos  On the pointlike interaction of three different particles
 R. A. Minlos and E. A. Zhizhina  Meson states in lattice QCD
 A. I. Mogilner  Hamiltonians in solidstate physics as multiparticle discrete Schrödinger operators: Problems and results
