## Multiparticle Quantum Scattering with Applications to Nuclear, Atomic and Molecular PhysicsThe topics in this volume include the ideas of mathematicians, physicists and chemists in the area of multiparticle scattering theory. Scattering theory (or collision theory as it is often called) is a fundamental area of theory and computation in both physics and chemistry. The correct formulation of scattering theory for two-body collisions is now well worked out, but systems with three or more particles still present fundamental unmet challenges, both in the formulations of the problem and in the interpretation of computational results. A key issue in the mathematical foundations is asymptotic completeness, which says that any state of a quantum system is a superposition of bound and scattering states. Key issues on the physical side are concerned with boundary conditions, electromagnetic fields, effective potentials and resonances. |

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Multiparticle Quantum Scattering with Applications to Nuclear, Atomic and ... Donald G. Truhlar,Barry Simon No preview available - 2011 |

Multiparticle Quantum Scattering with Applications to Nuclear, Atomic and ... Donald G. Truhlar,Barry Simon No preview available - 2012 |

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adiabatic amplitude analytic approximation asymptotic completeness atomic barrier resonances bound calculations center of mass channel Chem cluster decomposition compact complex computational constant convergence coordinate corresponding D. G. Truhlar D.J. Kouri D.K. Hoffman defined denote derivative described dynamics eigenstates eigenvalues electron expansion finite Fourier given Green's function grid Hilbert space integral interaction kinetic energy laser fields Lemma Lett magnetic field Math Mathematics matrix elements methods Moiseyev molecular molecules momentum Mourre estimate multiphoton neutral obtain optical-model orthogonal packet parameters particles Phys Physics poles polynomial polynomial expansion problem proof propagation quantal quantum mechanical quantum number quasienergy reaction coordinate reaction probability region S-matrix satisfies scattering matrix scattering theory Schrodinger equation Schrodinger operators Section self-adjoint operators solution spectral spectrum subspaces theorem threshold time-dependent tion tonian trace formulas transformation transition state theory TV-body vector wave operator wavepacket width