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On the Qualitative Theory of Non-Gamov Decay States

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V. M. Chabanov, B. N. Zakhariev

Quantum Physics · Submitted 30 Nov 2000

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

The authors' main claim E-shift algorithms represent wide classes of exactly solvable quantum models for non-self-adjoint operators.

how it is stated · asserted 1.00 read the record →

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arXiv IDquant-ph/0011119 (version 1)
Pith IDT42TMQL4, Pith's permanent record of this paper and its review
CitationB. N. Zakhariev, V. M. Chabanov. "On the Qualitative Theory of Non-Gamov Decay States." arXiv:quant-ph/0011119 (2000). https://pith.science/paper/T42TMQL4
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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, 4,743 input tokens.

What the abstract itself states, as probabilities: claims first 0.05 · states limitation 0.09 · human participants 0.01 · controlled comparison 0.03 · randomized assignment 0.01 · states quantitative result 0.03 · compares with prior results 0.11 · mentions code or data availability 0.02.

The abstract, sentence by sentence

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

Complex potential transformations which add imaginary parts to chosen energy levels are given and qualitatively explained. Unexpected shape similarity of potential perturbations for real and imaginary E-shifts of bound states are exhibited. The imaginary E-shifts in the continuous spectrum lead to a surprising quasi-periodic field raking up initial propagating waves into localized states. Complex periodic potentials without lacunas (!) are constructed. The fission of quasi-bound states when neighbour complex eigenvalues approach one another is demonstrated. E-shift algorithms represent wide classes of exactly solvable quantum models for non-self-adjoint operators.

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 Complex potential transformations which add imaginary parts to chosen energy levels are given and qualitatively explained. contribution 0.84 0.85 0.18 asserted 1.00
s1 Unexpected shape similarity of potential perturbations for real and imaginary E-shifts of bound states are exhibited. result 0.99 0.85 0.11 asserted 1.00
s2 The imaginary E-shifts in the continuous spectrum lead to a surprising quasi-periodic field raking up initial propagating waves into localized states. result 0.99 0.83 0.22 asserted 1.00
s3 Complex periodic potentials without lacunas (!) are constructed. contribution 0.57 0.89 0.11 asserted 1.00
s4 The fission of quasi-bound states when neighbour complex eigenvalues approach one another is demonstrated. result 0.96 0.87 0.14 asserted 1.00
s5 E-shift algorithms represent wide classes of exactly solvable quantum models for non-self-adjoint operators. interpretation 0.87 0.64 0.44 asserted 1.00

What kind of paper the classifier reports this is: theoretical result 0.69 · evidence from proof or derivation 0.95.

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
not run
  • 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

Complex potential transformations which add imaginary parts to chosen energy levels are given and qualitatively explained. Unexpected shape similarity of potential perturbations for real and imaginary E-shifts of bound states are exhibited. The imaginary E-shifts in the continuous spectrum lead to a surprising quasi-periodic field raking up initial propagating waves into localized states. Complex periodic potentials without lacunas (!) are constructed. The fission of quasi-bound states when neighbour complex eigenvalues approach one another is demonstrated. E-shift algorithms represent wide classes of exactly solvable quantum models for non-self-adjoint operators.

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