Treatment of Gamow states using tempered ultradistributions (vol 12, pg 497, 1999)

Citation
Al. De Paoli et al., Treatment of Gamow states using tempered ultradistributions (vol 12, pg 497, 1999), FOUND PH L, 13(2), 2000, pp. 201-204
Citations number
3
Categorie Soggetti
Physics
Journal title
FOUNDATIONS OF PHYSICS LETTERS
ISSN journal
08949875 → ACNP
Volume
13
Issue
2
Year of publication
2000
Pages
201 - 204
Database
ISI
SICI code
0894-9875(200004)13:2<201:TOGSUT>2.0.ZU;2-N
Abstract
In Ref. [1] we showed that it is possible to extend analitically and with t he use of tempered ultradistributions, the pseudonorm defined by T. Berggre n for Gamow states. In that reference we define this pseudonorm for all sta tes determined by the zeros of the Jost function for any short range potent ial. However, the proof is not completely general due to the fact that the statement h(l)(0, r) = C phi(l)(0, r) is not true in all cases. In this add endum we give a new proof, general and independent of that statement.