Published March 1980
| Version v1
Journal article
Inverse scattering. I. One dimension
Description
This paper presents two new methods of reconstructing an underlying potential in the one-dimensional Schroedinger equation from a given S matrix. One of these methods is based on a Gel'fand--Levitan equation, the other on a Marchenko equation. A sequel of this paper will treat the three-dimensional case by similar methods
Additional details
Publishing Information
- Journal Title
- J. Math. Phys. (N.Y.)
- Journal Volume
- 21
- Journal Issue
- 3
- Series
- J. Math. Phys. (N.Y.).
- Journal Page Range
- 493-505
- ISSN
- 0022-2488
INIS
- Country of Publication
- United States
- Country of Input or Organization
- United States
- INIS RN
- 11530081
- Subject category
- S72: PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; S71: CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS;
- Descriptors DEI
- BOUND STATE; INVERSE SCATTERING PROBLEM; JOST FUNCTION; KERNELS; ONE-DIMENSIONAL CALCULATIONS; S MATRIX; SCATTERING AMPLITUDES; SCHROEDINGER EQUATION; SPECTRAL FUNCTIONS; WAVE FUNCTIONS
- Descriptors DEC
- AMPLITUDES; DIFFERENTIAL EQUATIONS; EQUATIONS; FUNCTIONS; MATRICES