Multiparticle quantum scattering with applications to nuclear, atomic, and molecular physics

A.G. Sitenko gives an introduction to nonrelativistic scattering theory. The presentation is mathematically rigorous, but is accessible to upper level undergraduates in physics. The relationship between the scattering matrix and physical observables, i.e., transition probabilities, is discussed in detail. Among the emphasized topics are the stationary formulation of the scattering problem, the inverse scattering problem, dispersion relations, three-particle bound states and their scattering, collisions of particles with spin and polarization phenomena. The analytical properties of the scattering matrix are discussed. Exercises are included to help the reader to gain some experience and more expertise in scattering theory N-body quantum systems: A tutorial / Gian Michele Graf -- A tutorial on computational approaches to quantum scattering / Donald J. Kouri and David K. Hoffman -- Time-independent wavepacket quantum mechanics / Donald J. Kouri, Youhong Huang and David K. Hoffman -- Classical action and quantum N-body asymptotic completeness / Gian Michele Graf and Daniel Schenker -- On trace formulas for Schrodinger-type operators / F. Gesztesy and H. Holden -- Multiparticle quantum systems in constant magnetic fields / I. Laba -- New channels of scattering for two- and three-body quantum systems with long-range potentials / D. Yafaev -- State-of-state transition probabilities and control of laser-induced dynamical processes by the (t, t') Method / Nimrod Moiseyev -- Barrier resonances and chemical reactivity / Ronald S. Friedman and Donald G. Truhlar -- Quantization in the continuum - complex dilated expansions of scattering quantities / Nils Elander. Microscopic atomic and nuclear mean fields / Claude Mahaux -- The Pauli principle in multi-cluster states of nuclei / Jens Bang -- Nonperturbative approaches to atomic and molecular multiphoton (half-collision) processes in intense laser fields / Shih-I Chu -- Global recursion polynomial expansions of the Green's function and time evolution operator for the Schrodinger equation with absorbing boundary conditions / Vladimir A. Mandelshtam