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An integral expression for the Jost matrix of non-relativistic scattering of the line. (English) Zbl 0625.35075

An integral expression in terms of the potential and the physical solutions is given for the Jost matrix of one-dimensional non- relativistic quantum mechanics.

MSC:

35Q99 Partial differential equations of mathematical physics and other areas of application
35C15 Integral representations of solutions to PDEs
35P25 Scattering theory for PDEs
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