Comment on ‘Solving a singular integral equation for the one-dimensional Coulomb problem’ (2023 <i>Physica Scripta</i> <b>98</b> 085219)
Bibliographic record
Abstract
Abstract It is shown by Olendski that the derivation of the momentum waveform of the quasi-one-dimensional hydrogen atom recently performed by Shutovskyi et al (2023 Phys. Scr. 98 085 219) contains the same error as in the previous effort by Saha et al (2017 Eur. J. Phys. 38 025 103). The error was also identified by Olendski (2017 Eur. J. Phys. 38 038 001; 2019 Eur. J. Phys. 40 025 402). To exemplify the faulty nature of Shutovski et al formula, the standard deviations of position and momentum that enter the Heisenberg uncertainty relation were calculated. It produced different results in the position and wave vector spaces, whereas the use of the correct expression yields the same value by either method.
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How this classification was reachedexpand
Full frame machine prediction
Teacher imitationNot calibrated prevalence, not ground truth. Human validation pending. The Gemma side is a direct model label for every work in the frame, read from the title-only record. The Codex side is a classifier learned from the 10,348 direct Codex labels and calibrated to design-weighted sample rates; fields without enough sample support carry no Codex call. Candidate is the union of the two sides; consensus is their intersection. These outputs are machine_predicted_unvalidated and are not human labels.
Distilled classifier scores by category (both heads)
| Category | Codex | Gemma |
|---|---|---|
| Metaresearch | 0.006 | 0.031 |
| Meta-epidemiology (narrow) | 0.001 | 0.001 |
| Meta-epidemiology (broad) | 0.001 | 0.001 |
| Bibliometrics | 0.001 | 0.001 |
| Science and technology studies | 0.003 | 0.007 |
| Scholarly communication | 0.002 | 0.005 |
| Open science | 0.005 | 0.002 |
| Research integrity | 0.021 | 0.030 |
| Insufficient payload (model declined to judge) | 0.010 | 0.015 |
Machine scores (provisional)
The two teacher heads of the student model, read on this work. A score orders the frame for review; it never asserts a category, and the validation status ships verbatim with every row.
Baseline scores from an immature model (maturity gate not passed, 7 training rounds). Scores rank; they never assert a category.
score_only:v0-immature-baseline · verbatim from the scoring run: score_only means the number may rank works, and no category label ships from itClassification
machine, unvalidatedMachine predicted; a candidate call from one source (direct Gemma or distilled Codex), not a consensus.
How this classification was reached, model by model and score by score, is at the end of the page under "How this classification was reached".