AN INVERSE SCATTERING PROBLEM FOR NONLOCAL POTENTIALS I: THE FAMILY OF PHASE EQUIVALENT WAVEFUNCTIONS
1986 ◽
Vol 01
(07)
◽
pp. 449-454
◽
Keyword(s):
We develop a consistent approach to an inverse scattering problem for the Schrodinger equation with nonlocal potentials. The main result presented in this paper is that for the two-body scattering data, given the problem of reconstructing both the family of phase equivalent two-body wavefunctions and the corresponding family of phase equivalent half-off-shell t-matrices, is reduced to solving a regular integral equation. This equation may be regarded as a generalization of the Gel’fand-Levitan equation.
1991 ◽
Vol 22
(3)
◽
pp. 717-731
◽
2015 ◽
Vol 3
(1)
◽
pp. 48-63
◽
2008 ◽
Vol 22
(23)
◽
pp. 2181-2189
◽
1990 ◽
Vol 31
(9)
◽
pp. 2172-2180
◽
2015 ◽
Vol 23
(4)
◽
1994 ◽
Vol 161
(3)
◽
pp. 569-595
◽
2020 ◽
Vol 27
(3)
◽
2006 ◽
Vol 86
(6)
◽
pp. 463-470
◽
1995 ◽
Vol 173
(1)
◽
pp. 199-224
◽