عنوان

Finite space direct and inverse problem in quantum mechanical scattering theory using the Born approximation

Number

TLpq230729278

.Language of Text, Soundtrack etc

انگلیسی

Title Proper

Finite space direct and inverse problem in quantum mechanical scattering theory using the Born approximation

General Material Designation

[Thesis]

First Statement of Responsibility

S. M. S. Al-Amoudi

Name of Publisher, Distributor, etc.

King Fahd University of Petroleum and Minerals (Saudi Arabia)

Date of Publication, Distribution, etc.

1993

Specific Material Designation and Extent of Item

229

Dissertation or thesis details and type of degree

M.S.

Body granting the degree

King Fahd University of Petroleum and Minerals (Saudi Arabia)

Text preceding or following the note

1993

Text of Note

The direct scattering problem in a finite space was studied by expanding the radial wave function of a particle of mass mu, confined within a three-dimensional sphere of radius a in terms of a set of discrete spherical Bessel functions. The finite space version of the partial wave Born approximation was derived and two inversion techniques were developed to invert it. The first, involves using the inverse function of usdj\sbsp{\ell}{2}(r)usd while the second involves reducing the problem to a matrix equation usdAx = busd and then inverting the matrix A, which turns out to be singular. Although the matrix A is singular, we manage to invert it using generalized inverse concepts and techniques. In the course of developing the first of the above inversion techniques, some new and relevant mathematical relations were obtained. Furthermore, the infinite space inversion techniques developed in ref. (7) were improved by inverting the second partial wave Born approximation rather than the first partial wave Born approximation.

Physics

Pure sciences

S. M. S. Al-Amoudi

Electronic name

p

[Thesis]

276903

a

Y