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

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A. L. De Paoli, M. A. Estevez, M. C. Rocca, H. Vucetich (La Plata U.)

Mathematical Physics · Submitted 12 Mar 1999

abstract compiled · 2026-09-23 · no language-model review

The authors' main claim In this work we show that it is possible to extend analitically, and with the use of tempered ultradistributions, the pseudonorm defined by T.

how it is stated · hedged possibility 0.51 read the record →

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arXiv IDmath-ph/9903029 (version 1)
Pith ID6JRPGCOJ, Pith's permanent record of this paper and its review
CitationA. L. De Paoli, H. Vucetich (La Plata U.), M. A. Estevez, M. C. Rocca. "Study of Gamow States in the Rigged Hilbert Space with Tempered Ultradistributions." arXiv:math-ph/9903029 (1999). https://pith.science/paper/6JRPGCOJ
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The compiled record

The paper's own sentences, arranged. Each label is drawn from a closed vocabulary; the number beside it is the probability the classifier gave that label. Numbers in the tables are the authors', checked by code. No sentence in this record was written by a model.

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Compiled by classifier-1.13.0 via TypeSafe API, question bank abstract-p1-20260923, 2026-09-23: 1 request, 3,492 input tokens.

What the abstract itself states, as probabilities: claims first 0.05 · states limitation 0.18 · human participants 0.01 · controlled comparison 0.02 · randomized assignment 0.01 · states quantitative result 0.04 · compares with prior results 0.18 · mentions code or data availability 0.02.

The abstract, sentence by sentence

arXiv listing abstract v1. Results and the main claim are underlined; .

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.

background contribution method result interpretation main claim

What the classifier reports for each sentence. The number is the probability it gave the label.
#sentencerolethe authors' own workstates the main conclusionstrength
s0 In this work we show that it is possible to extend analitically, and with the use of tempered ultradistributions, the pseudonorm defined by T. contribution 0.96 0.88 0.57 hedged possibility 0.51
s1 Berggren for Gamow states. contribution 0.79 0.33 0.18 unclear 0.60
s2 We define this pseudonorm for all states determined by the zeros of the Jost function for any short range potential. contribution 0.89 0.91 0.26 asserted 1.00
s3 As an example we study the s-states corresponding to the square well potential. contribution 0.55 0.90 0.05 asserted 0.93

What kind of paper the classifier reports this is: theoretical result 0.91 · evidence from proof or derivation 1.00.

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  • references and citing sentences
  • relations to other papers
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  • P abstract
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  • T body sentences
  • C citations
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Every quoted sentence on this record is the authors'. Every label is from Pith's closed vocabulary, with the probability shown beside it. Every number in the measurements table is the authors', checked by code. Record as JSON

The paper
Original abstract

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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