Published July 2006
| Version v1
Journal article
Coulomb-Sturmian matrix elements of the Coulomb Green's operator
Creators
- 1. Department of Physics and Astronomy, California State University, Long Beach, California 90840 (United States)
Description
The two-body Coulomb Hamiltonian, when calculated in Coulomb-Sturmian basis, has an infinite symmetric tridiagonal--i.e., Jacobi-matrix form. This Jacobi-matrix structure involves a continued-fraction representation for the inverse of the Green's matrix. The continued fraction can be transformed to a ratio of two 2F1 hypergeometric functions. From this result we find an exact analytic formula for the matrix elements of the Green's operator of the Coulomb Hamiltonian
Additional details
Identifiers
- DOI
- 10.1103/PhysRevA.74.014701;
- arXiv
- arXiv:math-ph/0604037v1;
Publishing Information
- Journal Title
- Physical Review. A
- Journal Volume
- 74
- Journal Issue
- 1
- Journal Page Range
- p. 014701-014701.4
- ISSN
- 1050-2947
- CODEN
- PLRAAN
INIS
- Country of Publication
- United States
- Country of Input or Organization
- International Atomic Energy Agency (IAEA)
- INIS RN
- 38025975
- Subject category
- S74: ATOMIC AND MOLECULAR PHYSICS; S71: CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS;
- Descriptors DEI
- ALGEBRA; CONTINUED FRACTIONS; COULOMB FIELD; GREEN FUNCTION; HAMILTONIANS; HYPERGEOMETRIC FUNCTIONS; MATRIX ELEMENTS; QUANTUM MECHANICS; TWO-BODY PROBLEM
- Descriptors DEC
- ELECTRIC FIELDS; FUNCTIONS; MANY-BODY PROBLEM; MATHEMATICAL OPERATORS; MATHEMATICS; MECHANICS; QUANTUM OPERATORS
Optional Information
- Notes
- (c) 2006 The American Physical Society