Title
Off-diagonal properties of the Feynman propagator and the Green function for a bare Coulomb field Off-diagonal properties of the Feynman propagator and the Green function for a bare Coulomb field
Author
Faculty/Department
Faculty of Sciences. Physics
Publication type
article
Publication
Lancaster, Pa ,
Subject
Physics
Source (journal)
Physical review : A : atomic, molecular and optical physics. - Lancaster, Pa, 1990 - 2015
Volume/pages
69(2004) :4 , p. 1-4
ISSN
1094-1622
1050-2947
Article Reference
044703
Carrier
E-only publicatie
Target language
English (eng)
Full text (Publishers DOI)
Affiliation
University of Antwerp
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.
Full text (open access)
https://repository.uantwerpen.be/docman/irua/22dd87/6588.pdf
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