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- W2052348495 abstract "The Schrödinger equation for the scattered particle is converted into an integral equation, in which the kernel is obtained by the use of the condition that the events described by the solutions of the equation must be causally related, i.e., that causes must always precede the effects which they produce. The integral equation is iterated once, and it is found that its solution corresponds to the usual description of a scattering process in terms of an undeflected wave traversing the system plus a radially scattered wave moving outwards. In the second part, it is shown that a simple relation exists between solutions of Schrödinger's equation of the sort just described and the solution of the initial-value problem associated with the equation of motion for a free particle. By this means a solution of the scattering problem is set up which describes how the wave function develops as the wave which it describes propagates through the system. The series which results was first given by Feynman. As an example, the first Born approximation for the scattering problem is developed by each approach." @default.
- W2052348495 created "2016-06-24" @default.
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- W2052348495 date "1952-05-01" @default.
- W2052348495 modified "2023-09-26" @default.
- W2052348495 title "The Scattering Theory of the Schrödinger Equation" @default.
- W2052348495 doi "https://doi.org/10.1119/1.1933199" @default.
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