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Classical and quantum dynamics of the n-dimensional kicked rotator

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Georg Junker, Harald Karl, Hajo Leschke

chao-dyn · Submitted 31 Aug 1995

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

The authors' main claim Here, we always find localization independent of the actual number of degrees of freedom.

how it is stated · asserted 1.00 read the record →

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arXiv IDchao-dyn/9508009 (version 2)
Pith IDUMMT2QGY, Pith's permanent record of this paper and its review
CitationGeorg Junker, Hajo Leschke, Harald Karl. "Classical and quantum dynamics of the n-dimensional kicked rotator." arXiv:chao-dyn/9508009 (1995). https://pith.science/paper/UMMT2QGY
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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, 4,804 input tokens, $0.0002 reported.

What the abstract itself states, as probabilities: claims first 0.04 · states limitation 0.45 · human participants 0.01 · controlled comparison 0.10 · randomized assignment 0.01 · states quantitative result 0.53 · compares with prior results 0.66 · mentions code or data availability 0.02.

The abstract, sentence by sentence

arXiv listing abstract v2. Results and the main claim are underlined; .

The classical and quantum dynamics for an n-dimensional generalization of the kicked planar (n=1) rotator in an additional effective centrifugal potential. Therefore, typical phenomena like the diffusion in classical phase space are similar to that of the one-dimensional model. For the quantum dynamics such a result is not expected as in this case the evolution does depend in a very complicated way on the number n of degrees of freedom. In the limit n --> infinity we find the free undistrubed quantum motion. For finite values of n (1<=n<=26) we study numerically the quantum dynamics. Here, we always find localization independent of the actual number of degrees of freedom.

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 classical and quantum dynamics for an n-dimensional generalization of the kicked planar (n=1) rotator in an additional effective centrifugal potential. contribution 0.87 0.44 0.07 unclear 0.90
s1 Therefore, typical phenomena like the diffusion in classical phase space are similar to that of the one-dimensional model. result 0.89 0.56 0.12 asserted 0.91
s2 For the quantum dynamics such a result is not expected as in this case the evolution does depend in a very complicated way on the number n of degrees of freedom. interpretation 0.38 0.25 0.16 asserted 0.86
s3 In the limit n --> infinity we find the free undistrubed quantum motion. result 1.00 0.90 0.10 asserted 1.00
s4 For finite values of n (1<=n<=26) we study numerically the quantum dynamics. method 0.69 0.94 0.04 asserted 0.97
s5 Here, we always find localization independent of the actual number of degrees of freedom. result 1.00 0.94 0.66 asserted 1.00

What kind of paper the classifier reports this is: simulation study 0.96 · evidence from simulation or computation 1.00.

What was examined, and what was not

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  • 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

The classical and quantum dynamics for an n-dimensional generalization of the kicked planar (n=1) rotator in an additional effective centrifugal potential. Therefore, typical phenomena like the diffusion in classical phase space are similar to that of the one-dimensional model. For the quantum dynamics such a result is not expected as in this case the evolution does depend in a very complicated way on the number n of degrees of freedom. In the limit n --> infinity we find the free undistrubed quantum motion. For finite values of n (1<=n<=26) we study numerically the quantum dynamics. Here, we always find localization independent of the actual number of degrees of freedom.

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