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Formulas for phase recovering from phaseless scattering data at fixed frequency

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Roman Novikov

Mathematical Physics · Submitted 8 Feb 2015

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

The authors' main claim As a corollary, we give global uniqueness results for quantum and acoustic inverse scattering at fixed frequency without phase information.

how it is stated · asserted 1.00 read the record →

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arXiv ID1502.02282 (version 2)
Pith IDKAIVSJ6T, Pith's permanent record of this paper and its review
CitationRoman Novikov. "Formulas for phase recovering from phaseless scattering data at fixed frequency." arXiv:1502.02282 (2015). https://pith.science/paper/KAIVSJ6T
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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-1.13-20260917 via OpenRouter, question bank abstract-p1-20260923, 2026-09-23: 1 request, 2,864 input tokens, $0.0001 reported.

What the abstract itself states, as probabilities: claims first 0.04 · states limitation 0.34 · human participants 0.01 · controlled comparison 0.01 · randomized assignment 0.01 · states quantitative result 0.15 · compares with prior results 0.05 · mentions code or data availability 0.02.

The abstract, sentence by sentence

arXiv listing abstract v2. Results and the main claim are underlined; .

We consider quantum and acoustic wave propagation at fixed frequency for compactly supported scatterers in dimension $d\ge 2$. In these framework we give explicit formulas for phase recovering from appropriate phaseless scattering data. As a corollary, we give global uniqueness results for quantum and acoustic inverse scattering at fixed frequency without phase information.

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 We consider quantum and acoustic wave propagation at fixed frequency for compactly supported scatterers in dimension $d\ge 2$. background 0.99 0.17 0.03 asserted 0.82
s1 In these framework we give explicit formulas for phase recovering from appropriate phaseless scattering data. contribution 0.88 0.94 0.43 asserted 1.00
s2 As a corollary, we give global uniqueness results for quantum and acoustic inverse scattering at fixed frequency without phase information. result 0.91 0.94 0.63 asserted 1.00

What kind of paper the classifier reports this is: theoretical result 0.98 · evidence from proof or derivation 1.00.

What was examined, and what was not

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not examined
  • full text
  • figures and tables
  • references and citing sentences
  • relations to other papers
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  • P abstract
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  • S sections
  • T body sentences
  • C citations
  • R cross-paper relations

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

We consider quantum and acoustic wave propagation at fixed frequency for compactly supported scatterers in dimension $d\ge 2$. In these framework we give explicit formulas for phase recovering from appropriate phaseless scattering data. As a corollary, we give global uniqueness results for quantum and acoustic inverse scattering at fixed frequency without phase information.

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