Journal ArticleDOI
Variational Methods in Nuclear Collision Problems
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Abstract:
Variational methods, similar to the Rayleigh-Ritz method for bound state calculations, are developed for the phase shifts and elements of the scattering matrix in nuclear collisions. Numerical applications to neutron-proton and neutron-deuteron scattering involving trial functions with undetermined coefficients are described. Another variational principle, for scattering amplitudes, is shown to lead to the Born approximations and a formula recently derived by Schwinger. It may also be used in conjunction with the method of undetermined coefficients.read more
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Book ChapterDOI
The R-Matrix Theory of Atomic Processes
Philip G. Burke,W. D. Robb +1 more
TL;DR: The R-matrix concept of atomic processes was first introduced by Wigner and Eisenbud as mentioned in this paper with the fundamental idea that configuration space describes the scattered particle, and the target is divided into two regions.
Journal ArticleDOI
Effects of surface crossing in chemical reactions - The H3 system
Richard K. Preston,John C. Tully +1 more
TL;DR: Triatomic hydrogen positive ion surface crossing effects in chemical reactions based on potential energy surfaces calculation using diatomics-in-molecules approach were investigated in this paper, where the potential energy surface calculation was carried out using a graph-based approach.
Journal ArticleDOI
Use of energy derivative of the radial solution in an augmented plane wave method: application to copper
D D Koelling,G O Arbman +1 more
TL;DR: In this paper, the authors presented an application of the method, previously suggested by Marcus (1967) and analysed by Andersen to the Chodorow copper potential and examined its precision and its convergence properties.
Journal ArticleDOI
Collisional Breakup in a Quantum System of Three Charged Particles
TL;DR: A framework for solving ionization problems in many areas of chemistry and physics is finally provided by a mathematical transformation of the Schrodinger equation that makes the final state tractable, providing the key to a numerical solution of this problem that reveals its full dynamics.
Journal ArticleDOI
The partial wave theory of electron-hydrogen atom collisions
I. C. Percival,M. J. Seaton +1 more
TL;DR: In this paper, the solution of the algebraic problems arising in the partial wave treatment of electron-hydrogen atom collisions is discussed, where explicit antisymmetrized wave functions are used throughout.