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- W2077371982 startingPage "1615" @default.
- W2077371982 abstract "A method of solving the Schrodinger equation for scattering in an arbitrary state of angular momentum is presented by forming the solution out of a real amplitude function $A$ and a real phase function $B$. $A$ satisfies a nonlinear differential equation with the virtue that it has no nodes for physical potentials. $B$ is simply related to $A$. With these equations a superperturbation theory for phase shifts can be formulated, being defined as a sequence of approximations in which the error at any stage is of the order of the square of the error at the previous stage. A great advantage of this scheme lies in numerical computations, where its greater speed of convergence over standard methods is demonstrated in a test case. It was found that in the case of $s$-wave scattering from an exponential potential the superperturbation scheme converged in three interactions, whereas the Green's-function method required 27 iterations." @default.
- W2077371982 created "2016-06-24" @default.
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- W2077371982 date "1968-09-25" @default.
- W2077371982 modified "2023-09-25" @default.
- W2077371982 title "Generalized Superperturbation Theory for Scattering" @default.
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- W2077371982 doi "https://doi.org/10.1103/physrev.173.1615" @default.
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