Variational Methods in Nuclear Collision Problems
- 15 December 1948
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review B
- Vol. 74 (12) , 1763-1772
- https://doi.org/10.1103/physrev.74.1763
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.Keywords
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