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Resonance Tunneling in Double-Well Billiards with a Pointlike Scatterer

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Paper breakdownThe authors' claims, conditions and measurements, as JSON Signed receiptProof this review has not been altered
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Taksu Cheon, T. Shigehara

chao-dyn · Submitted 4 Dec 1996

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

The authors' main claim We show that by placing a pointlike scatterer inside the billiard, we can control the occurrence and the rate of the resonance tunneling.

how it is stated · asserted 1.00 read the record →

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arXiv IDchao-dyn/9612008 (version 1)
Pith IDDP3W4QN6, Pith's permanent record of this paper and its review
CitationTaksu Cheon, T. Shigehara. "Resonance Tunneling in Double-Well Billiards with a Pointlike Scatterer." arXiv:chao-dyn/9612008 (1996). https://pith.science/paper/DP3W4QN6
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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, 3,609 input tokens, $0.0002 reported.

What the abstract itself states, as probabilities: claims first 0.03 · states limitation 0.06 · human participants 0.01 · controlled comparison 0.09 · randomized assignment 0.01 · states quantitative result 0.04 · compares with prior results 0.06 · mentions code or data availability 0.02.

The abstract, sentence by sentence

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

The coherent tunneling phenomenon is investigated in rectangular billiards divided into two domains by a classically unclimbable potential barrier. We show that by placing a pointlike scatterer inside the billiard, we can control the occurrence and the rate of the resonance tunneling. The key role of the avoided crossing is stressed. Keywords: chaotic tunneling, quantum billiard, delta potential, diabolical degeneracy PACS: 3.65.-w, 4.30.Nk, 5.45.+b, 73.40.Gk

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 The coherent tunneling phenomenon is investigated in rectangular billiards divided into two domains by a classically unclimbable potential barrier. background 0.66 0.54 0.05 asserted 0.95
s1 We show that by placing a pointlike scatterer inside the billiard, we can control the occurrence and the rate of the resonance tunneling. result 0.74 0.91 0.83 asserted 1.00
s2 The key role of the avoided crossing is stressed. interpretation 0.98 0.50 0.10 asserted 0.98
s3 Keywords: chaotic tunneling, quantum billiard, delta potential, diabolical degeneracy PACS: 3.65.-w, 4.30.Nk, 5.45.+b, 73.40.Gk background 0.84 0.05 0.03 unclear 0.99

What kind of paper the classifier reports this is: theoretical result 0.62 · evidence from simulation or computation 0.69.

What was examined, and what was not

sources read
  • arXiv listing abstract v1
not examined
  • full text
  • figures and tables
  • references and citing sentences
  • relations to other papers
levels run
  • 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

The coherent tunneling phenomenon is investigated in rectangular billiards divided into two domains by a classically unclimbable potential barrier. We show that by placing a pointlike scatterer inside the billiard, we can control the occurrence and the rate of the resonance tunneling. The key role of the avoided crossing is stressed. Keywords: chaotic tunneling, quantum billiard, delta potential, diabolical degeneracy PACS: 3.65.-w, 4.30.Nk, 5.45.+b, 73.40.Gk

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