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A new approximation scheme in quantum mechanics

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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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Sang Koo You, Kwang Joe Jeon, Chul Koo Kim, Kyun Nahm (Yonsei University)

Quantum Physics · Submitted 30 Dec 1997

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

The authors' main claim Using the anharmonic oscillator and the He atom as examples, we show that the present method provides an efficient scheme in estimating both the ground and the excited states.

how it is stated · asserted 1.00 read the record →

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arXiv IDquant-ph/9712056 (version 1)
Pith IDSOW33CJY, Pith's permanent record of this paper and its review
CitationChul Koo Kim, Kwang Joe Jeon, Kyun Nahm (Yonsei University), Sang Koo You. "A new approximation scheme in quantum mechanics." arXiv:quant-ph/9712056 (1997). https://pith.science/paper/SOW33CJY
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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, 2,848 input tokens.

What the abstract itself states, as probabilities: claims first 0.05 · states limitation 0.95 · human participants 0.01 · controlled comparison 0.03 · randomized assignment 0.01 · states quantitative result 0.04 · compares with prior results 0.13 · mentions code or data availability 0.02.

The abstract, sentence by sentence

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

An approximation method which combines the perturbation theory with the variational calculation is constructed for quantum mechanical problems. Using the anharmonic oscillator and the He atom as examples, we show that the present method provides an efficient scheme in estimating both the ground and the excited states. We also discuss the limitations of the present method.

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 An approximation method which combines the perturbation theory with the variational calculation is constructed for quantum mechanical problems. contribution 0.58 0.91 0.16 asserted 1.00
s1 Using the anharmonic oscillator and the He atom as examples, we show that the present method provides an efficient scheme in estimating both the ground and the excited states. result 0.92 0.95 0.68 asserted 1.00
s2 We also discuss the limitations of the present method. limitation 0.99 0.80 0.06 asserted 0.53

What kind of paper the classifier reports this is: method or tool 1.00 · evidence from simulation or computation 0.91.

What was examined, and what was not

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not examined
  • full text
  • figures and tables
  • references and citing sentences
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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

An approximation method which combines the perturbation theory with the variational calculation is constructed for quantum mechanical problems. Using the anharmonic oscillator and the He atom as examples, we show that the present method provides an efficient scheme in estimating both the ground and the excited states. We also discuss the limitations of the present method.

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