Quantum Physics · arXiv:quant-ph/9502019 v1 · submitted 19 Feb 1995
Variational perturbation expansion for strong-coupling coefficients of the anharmonic oscillator
The paper says
“As an application of a recently developed variational perturbation theory we find the first 22 terms of the convergent strong-coupling series expansion for the ground state energy of the quartic anharmonic oscillator.”
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The paper
Abstract
As an application of a recently developed variational perturbation theory we find the first 22 terms of the convergent strong-coupling series expansion for the ground state energy of the quartic anharmonic oscillator.
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abstract compiled · 2026-09-23 · no language-model review
How the main claim is stated: asserted 1.00
What the abstract itself states, as probabilities: claims first 0.17 · states limitation 0.06 · human participants 0.01 · controlled comparison 0.01 · randomized assignment 0.01 · states quantitative result 0.92 · compares with prior results 0.07 · mentions code or data availability 0.02
The abstract, sentence by sentence
This table labels the abstract only (arXiv listing abstract v1). The number is the probability the classifier gave the label.
| Sentence | Role | The authors' own work | States the main conclusion | Strength |
|---|---|---|---|---|
| As an application of a recently developed variational perturbation theory we find the first 22 terms of the convergent strong-coupling series expansion for the ground state energy of the quartic anharmonic oscillator. | result 0.72 | 0.96 | 0.86 | asserted 1.00 |
What kind of paper the classifier reports this is: theoretical result 0.97 · evidence from proof or derivation 0.75
What was examined, and what was not
Sources read
- arXiv listing abstract v1
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How the labels were made
Compiled by classifier-1.13.0 via TypeSafe API, question bank abstract-p1-20260923, 2026-09-23: 1 request, 1,660 input tokens.
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Cited by 2 Pith papers
Reviewed papers on Pith that cite this one. The full citation record
- Introduction to the functional RG and applications to gauge theories hep-ph · Nov 2006
- Resummation in Hot Field Theories hep-ph · Apr 2004
How the literature uses it
3 arXiv papers cite this in 3 sentences
Papers citing it · 1 sentence without a confident label
Uses its data or values 2 papers
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For example, in free massive scalar field theory at $T ≫m$ the pressure is [equation] such that the dimensionless entropy density $s_o ≡s/T$ is [equation] With the addition of a $ϕ^4$ interaction, at $T ≫√(λ)$ we instead have [equation] with $a_0 ≈0.667986$ [ref] .
Thermalization and chaos in a 1+1d QFT · High Temperature Behavior · 0.92
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Although the zero-mode sector is strongly coupled, as a quantum mechanical system it is well amenable to numerics; see e.g. Ref. [ref] , which found $a_0 ≈0.667986$ and $a_1 ≈0.143668$.
Thermalization and Hydrodynamics of Two-Dimensional Quantum Field Theories · Scalar + $ϕ^p$ · 0.99
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