Publication
Title
Off-diagonal properties of the Feynman propagator and the Green function for a bare Coulomb field
Author
Abstract
Blinder [ Phys. Rev. A, 43, 13 (1991) ] has given an explicit diagonal form for the nonrelativistic Coulomb propagator. His result is an infinite series involving Whittaker, Laguerre, Hermite, and error functions. However, he notes that at the nucleus, only error functions remain in the infinite series. Here, an off-diagonal generalization of Blinder's result at the nucleus is constructed. By relating this result to the Green function, it is then shown that one is led in this latter representation to an explicit sum of Blinder's infinite series. Finally, contact is established between the present off-diagonal study and the recent work of Chibisov [ Phys. Rev. Lett. 84, 451 (2000) ] on the Coulomb Green function.
Language
English
Source (journal)
Physical review : A : atomic, molecular and optical physics. - Lancaster, Pa, 1990 - 2015
Publication
Lancaster, Pa : 2004
ISSN
1094-1622 [online]
1050-2947 [print]
Volume/pages
69:4(2004), p. 1-4
Article Reference
044703
ISI
000221276400146
Medium
E-only publicatie
Full text (Publisher's DOI)
Full text (open access)
UAntwerpen
Faculty/Department
Research group
Publication type
Subject
Affiliation
Publications with a UAntwerp address
External links
Web of Science
Record
Identification
Creation 03.01.2013
Last edited 09.09.2017
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