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Scattering and Inverse Scattering
1993For a given potential, the scattering method has been commonly used to find the wave functions in quantum mechanics. An inverse process of this scattering is to find the potential from known scattering data. Such a process is called the inverse scattering method. If the potential satisfies a nonlinear evolution equation (the differential equation u t =
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Scattered spaces not having scattered compactifications
Mathematical Notes of the Academy of Sciences of the USSR, 1978Some examples of scattered spaces not having scattered compactifications are given, which solves a problem of Semadeni. Thus, let S be any extremally disconnected dense-in-itself subspace of βN/N. Then for every point ξ∈S the subspacen ∪{ξ} does not have any scattered compactification.
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Multiple scattering and scattering cross sections
The Journal of the Acoustical Society of America, 2018The scattering cross section for a cluster of scatterers can be calculated using various methods, either exactly or by invoking various approximations. Of special interest are methods in which the scattering properties of individual members of the cluster are used. The underlying question is: Can the contribution to the cluster's cross section from any
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Scattering Matrices in Many-Body Scattering
Communications in Mathematical Physics, 1999Let \(\{X_a; a\in I\}\) be a family of linear subspaces of \(\mathbb{R}^n= X_0\), \(X_1= \{0\}\), and \(X^a\) the orthocomplement of \(X_a\). The author treats \(S\)-matrices of the many-body Hamiltonian \(H= \Delta+\sum_{a\in I}(\pi^a)^* V_a\). Consider \(h_a= \Delta+ \sum_{b\leq a}V_b\) on \(\mathbb{L}^2(X^a)\). Let \(\varepsilon_\alpha\), \(\alpha= (
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Scattering and multiple scattering in NISP
Nuclear Instruments and Methods in Physics Research Section A: Accelerators, Spectrometers, Detectors and Associated Equipment, 2003It is very common to use Monte Carlo integration to estimate multiple scattering corrections in neutron experiments. The neutron instrument simulation package (NISP) includes various sample types and materials, many of which also account for multiple scattering.
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Multiple scattering in single scatterers
The Journal of the Acoustical Society of America, 2004Scattering by a multilayered scatterer is analyzed via a novel multiple-scattering approach. Based on the recognition that multiple scattering occurs within single scatterers having internal interfaces, the solution procedure follows the physical process, and yields analytically exact solutions.
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Scattering without scattering operator
Annals of Physics, 1972Abstract For potential scattering with long-range forces and for scattering with creation of massless particles, no S matrix can be properly defined. It is necessary to return to prime principles to establish the theoretical counterpart of the observed scattering probabilities.
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