SCATTERING AND INVERSE SCATTERING IN ONE-DIMENSIONAL NONHOMOGENEOUS MEDIA

被引：14

作者：

AKTOSUN, T

KLAUS, M

VANDERMEE, C

机构：

[1] VIRGINIA POLYTECH INST & STATE UNIV,DEPT MATH,BLACKSBURG,VA 24061

[2] FREE UNIV AMSTERDAM,DEPT PHYS & ASTRON,1007 MC AMSTERDAM,NETHERLANDS

来源：

JOURNAL OF MATHEMATICAL PHYSICS | 1992年 / 33卷 / 05期

关键词：

D O I：

10.1063/1.529650

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

The wave propagation in a one-dimensional nonhomogeneous medium is considered, where the wave speed and the restoring force depend on location. In the frequency domain this is equivalent to the Schrodinger equation d2-psi/dx2 + k2-psi = k2P(x)psi + Q(x)psi with an added potential proportional to energy. The scattering and bound-state solutions of this equation are studied and the properties of the scattering matrix are obtained; the inverse scattering problem of recovering the restoring force when the wave speed and the scattering data are known are also solved.

引用

页码：1717 / 1744

页数：28

共 22 条

[11]

Gakhov F.D., 1966, BOUND VALUE PROBL

[12]

Gel'fand I., 1955, AM MATH SOC TRANSL, V1, P253

[13] LOW-ENERGY BEHAVIOR OF THE SCATTERING MATRIX FOR THE SCHRODINGER-EQUATION ON THE LINE [J].