Alternative form of the Gelfand Levitan equation

Eric Kincanon

doi:10.14419/ijamr.v10i2.31842

Article Details

Alternative form of the Gelfand Levitan equation

Authors:

Eric Kincanon

Publisher:

Science Publishing Corporation

Journal:

International Journal of Applied Mathematical Research Vol.10 Issue 2, pp.28-31

Document Type:

Article

Publication Date:

1/2021

Document Language:

English

Document ID (Org No.):

2001386839

pISSN:

2227-4324

DOI:

10.14419/ijamr.v10i2.31842

Keywords:

Inverse Scattering

Abstract:

 This paper presents an alternative form of the Gelfand-Levitan Equation. By assuming a particular form of the spectral measure function and the potential kernel, an equation relating the potential and the reflection coefficient is found. This equation has an advantage over the Gelfand-Levitan Equation in that it can be solved without using iterative methods. The validity of the equation is demonstrated by looking at a singular and non-singular potential.Â Â.

Article Details

Alternative form of the Gelfand Levitan equation

Authors: Eric Kincanon

Publisher: Science Publishing Corporation

Journal: International Journal of Applied Mathematical Research Vol.10 Issue 2, pp.28-31

Document Type: Article

Publication Date: 1/2021

Document Language: English

Document ID (Org No.): 2001386839

pISSN: 2227-4324

DOI: 10.14419/ijamr.v10i2.31842

Inverse Scattering

Issues

Authors:

Eric Kincanon

Publisher:

Science Publishing Corporation

Journal:

International Journal of Applied Mathematical Research Vol.10 Issue 2, pp.28-31

Document Type:

Article

Publication Date:

1/2021

Document Language:

English

Document ID (Org No.):

2001386839

pISSN:

2227-4324

DOI:

10.14419/ijamr.v10i2.31842