Published June 2018 | Version v1
Journal article Metadata-only

Representation of the Coulomb Matrix Elements by Means of Appell Hypergeometric Function F2

Creators

  • 1. University of Tlemcen, Theoretical Physics Laboratory (Algeria)

Description

Exact analytical representation for the Coulomb matrix elements by means of Appell's double series F2 is derived. The finite sum obtained for the Appell function F2 allows us to evaluate explicitly the matrix elements of the two-body Coulomb interaction in the lowest Landau level. An application requiring the matrix elements of Coulomb potential in quantum Hall effect regime is presented.

Additional details

Identifiers

DOI
10.1007/s11040-018-9267-3;

Publishing Information

Journal Title
Mathematical Physics, Analysis and Geometry
Journal Volume
21
Journal Issue
2
Journal Page Range
p. 1-10
ISSN
1385-0172

INIS

Country of Publication
Netherlands
Country of Input or Organization
International Atomic Energy Agency (IAEA)
INIS RN
49100137
Subject category
S71: CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS;
Descriptors DEI
COULOMB FIELD; HALL EFFECT; HYPERGEOMETRIC FUNCTIONS; MATRICES; MATRIX ELEMENTS; TWO-BODY PROBLEM
Descriptors DEC
ELECTRIC FIELDS; FUNCTIONS; MANY-BODY PROBLEM

Optional Information

Copyright
Copyright (c) 2018 Springer Science+Business Media B.V., part of Springer Nature