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A discrete time-dependent method for metastable atoms in intense fields

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Liang-You Peng, J F McCann, Daniel Dundas, K T Taylor, I D Williams

Atomic Physics · Submitted 20 Feb 2004

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

The authors' main claim The results are in good agreement with recent experiments.

how it is stated · asserted 0.97 read the record →

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arXiv IDphysics/0402108 (version 1)
Pith IDHBYUBJ5P, Pith's permanent record of this paper and its review
CitationDaniel Dundas, I D Williams, J F McCann, K T Taylor, Liang-You Peng. "A discrete time-dependent method for metastable atoms in intense fields." arXiv:physics/0402108 (2004). https://pith.science/paper/HBYUBJ5P
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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, 5,410 input tokens.

What the abstract itself states, as probabilities: claims first 0.03 · states limitation 0.31 · human participants 0.01 · controlled comparison 0.04 · randomized assignment 0.01 · states quantitative result 0.07 · compares with prior results 0.78 · mentions code or data availability 0.02.

The abstract, sentence by sentence

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

The full-dimensional time-dependent Schrodinger equation for the electronic dynamics of single-electron systems in intense external fields is solved directly using a discrete method. Our approach combines the finite-difference and Lagrange mesh methods. The method is applied to calculate the quasienergies and ionization probabilities of atomic and molecular systems in intense static and dynamic electric fields. The gauge invariance and accuracy of the method is established. Applications to multiphoton ionization of positronium and hydrogen atoms and molecules are presented. At very high intensity above saturation threshold, we extend the method using a scaling technique to estimate the quasienergies of metastable states of the hydrogen molecular ion. The results are in good agreement with recent experiments.

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 full-dimensional time-dependent Schrodinger equation for the electronic dynamics of single-electron systems in intense external fields is solved directly using a discrete method. method 0.81 0.92 0.08 asserted 1.00
s1 Our approach combines the finite-difference and Lagrange mesh methods. method 0.99 0.83 0.04 asserted 1.00
s2 The method is applied to calculate the quasienergies and ionization probabilities of atomic and molecular systems in intense static and dynamic electric fields. contribution 0.78 0.93 0.12 asserted 1.00
s3 The gauge invariance and accuracy of the method is established. result 0.61 0.90 0.14 asserted 1.00
s4 Applications to multiphoton ionization of positronium and hydrogen atoms and molecules are presented. contribution 0.87 0.90 0.09 asserted 0.97
s5 At very high intensity above saturation threshold, we extend the method using a scaling technique to estimate the quasienergies of metastable states of the hydrogen molecular ion. method 0.63 0.95 0.14 asserted 0.97
s6 The results are in good agreement with recent experiments. result 0.75 0.83 0.38 asserted 0.97

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

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  • 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 full-dimensional time-dependent Schrodinger equation for the electronic dynamics of single-electron systems in intense external fields is solved directly using a discrete method. Our approach combines the finite-difference and Lagrange mesh methods. The method is applied to calculate the quasienergies and ionization probabilities of atomic and molecular systems in intense static and dynamic electric fields. The gauge invariance and accuracy of the method is established. Applications to multiphoton ionization of positronium and hydrogen atoms and molecules are presented. At very high intensity above saturation threshold, we extend the method using a scaling technique to estimate the quasienergies of metastable states of the hydrogen molecular ion. The results are in good agreement with recent experiments.

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