Study of Gamow States in the Rigged Hilbert Space with Tempered Ultradistributions

Details Study of Gamow States in the Rigged Hilbert Space with Tempered Ultradistributions Study of Gamow States in the Rigged Hilbert Space with Tempered Ultradistributions

1999-03-12

arxiv.org/abs/math-ph/9903029v1

Physics

Mathematical Physics

13 pages (LaTeX)

Scientific paper

In this work we show that it is possible to extend analitically, and with the
use of tempered ultradistributions, the pseudonorm defined by T. Berggren for
Gamow states. We define this pseudonorm for all states determined by the zeros
of the Jost function for any short range potential. As an example we study the
s-states corresponding to the square well potential.

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