## 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