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Stability properties of |Psi|^2 in Bohmian dynamics

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G. Potel, M. Munoz-Alenar, F. Barranco, E. Vigezzi

Quantum Physics · Submitted 7 Jun 2002

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

The authors' main claim We show that for simple one-dimensional systems any initial probability distribution of a statistical ensemble approaches asymptotically |Psi(x,t)}|^2 if the system is subject to a random noise of arbitrarily small intensity.

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arXiv IDquant-ph/0206043 (version 1)
Pith IDAW7SY4CZ, Pith's permanent record of this paper and its review
CitationE. Vigezzi, F. Barranco, G. Potel, M. Munoz-Alenar. "Stability properties of |Psi|^2 in Bohmian dynamics." arXiv:quant-ph/0206043 (2002). https://pith.science/paper/AW7SY4CZ
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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, 2,319 input tokens.

What the abstract itself states, as probabilities: claims first 0.03 · states limitation 0.58 · human participants 0.01 · controlled comparison 0.04 · randomized assignment 0.03 · states quantitative result 0.09 · compares with prior results 0.08 · mentions code or data availability 0.02.

The abstract, sentence by sentence

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

According to Bohmian dynamics, the particles of a quantum system move along trajectories, following a velocity field determined by the wave-function Psi(x,t). We show that for simple one-dimensional systems any initial probability distribution of a statistical ensemble approaches asymptotically |Psi(x,t)}|^2 if the system is subject to a random noise of arbitrarily small intensity.

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 According to Bohmian dynamics, the particles of a quantum system move along trajectories, following a velocity field determined by the wave-function Psi(x,t). background 1.00 0.03 0.03 asserted 1.00
s1 We show that for simple one-dimensional systems any initial probability distribution of a statistical ensemble approaches asymptotically |Psi(x,t)}|^2 if the system is subject to a random noise of arbitrarily small intensity. result 0.98 0.94 0.92 asserted 1.00

What kind of paper the classifier reports this is: theoretical result 1.00 · evidence from proof or derivation 0.98.

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

According to Bohmian dynamics, the particles of a quantum system move along trajectories, following a velocity field determined by the wave-function Psi(x,t). We show that for simple one-dimensional systems any initial probability distribution of a statistical ensemble approaches asymptotically |Psi(x,t)}|^2 if the system is subject to a random noise of arbitrarily small intensity.

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