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

Aktosun, Tuncay

Inverse Probl. 3, L5-L7 (1987).

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

Keywords:

integral expression; potential; Jost matrix; one-dimensional non- relativistic quantum mechanics