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The Maslov correction in the semiclassical Feynman integral

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P. A. Horvathy

Quantum Physics · Submitted 26 Feb 2007

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

The authors' main claim The Maslov correction to the wave function is to the jump of $-\pi/2$ in the phase when the system passes through a caustic point.

how it is stated · asserted 1.00 read the record →

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arXiv IDquant-ph/0702236 (version 1)
Pith IDUJ7VFEPO, Pith's permanent record of this paper and its review
CitationP. A. Horvathy. "The Maslov correction in the semiclassical Feynman integral." arXiv:quant-ph/0702236 (2007). https://pith.science/paper/UJ7VFEPO
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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, 3,508 input tokens.

What the abstract itself states, as probabilities: claims first 0.02 · states limitation 0.09 · human participants 0.01 · controlled comparison 0.02 · randomized assignment 0.01 · states quantitative result 0.75 · compares with prior results 0.20 · mentions code or data availability 0.02.

The abstract, sentence by sentence

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

The Maslov correction to the wave function is to the jump of $-\pi/2$ in the phase when the system passes through a caustic point. This phenomenon is related to the second variation and to the geometry of paths, as conveniently explained in Feynman's path integral framework. The results can be extended to any system using the semiclassical approximation. The 1-dimensional harmonic oscillator is used to illustrate the different derivations reviewed here.

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 Maslov correction to the wave function is to the jump of $-\pi/2$ in the phase when the system passes through a caustic point. background 0.90 0.10 0.51 asserted 1.00
s1 This phenomenon is related to the second variation and to the geometry of paths, as conveniently explained in Feynman's path integral framework. background 0.73 0.10 0.08 asserted 0.99
s2 The results can be extended to any system using the semiclassical approximation. result 0.40 0.39 0.36 asserted 0.82
s3 The 1-dimensional harmonic oscillator is used to illustrate the different derivations reviewed here. method 0.91 0.37 0.04 asserted 1.00

What kind of paper the classifier reports this is: review 0.94 · evidence from literature 0.51.

What was examined, and what was not

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  • references and citing sentences
  • relations to other papers
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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

The Maslov correction to the wave function is to the jump of $-\pi/2$ in the phase when the system passes through a caustic point. This phenomenon is related to the second variation and to the geometry of paths, as conveniently explained in Feynman's path integral framework. The results can be extended to any system using the semiclassical approximation. The 1-dimensional harmonic oscillator is used to illustrate the different derivations reviewed here.

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References
How the literature uses it

3 arXiv papers cite this in 3 sentences

Each citing sentence is taken from the citing paper's LaTeX source and typed by Pith's classifier. A label appears at probability 0.8 or more (0.95 for support), a contest at 0.7 or more; the quoted words are the citing authors'. How each label was checked · JSON

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Cites it as background 1 paper

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