Energy levels and wave functions of weakly bound bosonic trimers using Pekeris coordinates and a symmetry-adapted Lanczos approach
Bibliographic record
Abstract
An approach is presented for the accurate calculation of the energy levels of weakly bound bosonic rare gas trimers. A Pekeris coordinate system is used in order to avoid the interdependent range problem associated with internuclear distance coordinates. The present choice of coordinates also permits a straightforward treatment of boson symmetry and allows one to assess the importance of linear configurations through the calculation of one-body reduced distribution functions. The discrete variable representation is used and the eigenvalue problem is solved using a Lanczos recursion combined with projection operator techniques in order to extract totally symmetric states. Lennard-Jones systems corresponding to Argon and Neon are studied in order to assess the accuracy of the method by comparing them with those of recent benchmark calculations. The approach allows the accurate calculation of several bound states. Calculations are also performed for the case of a Morse interaction potential and the results are compared to those studies based on the commonly used internuclear distance coordinates. The present approach is found to be more accurate.
Fetched live from OpenAlex and de-inverted. Abstracts are not stored in this database: the inverted indexes are 8.6 GB of the frame’s 9.3 GB of text, and the host has 13 GB free.
How this classification was reachedexpand
Full frame distilled prediction
Teacher imitationNot calibrated prevalence, not ground truth. Human validation pending. Learned from the 10,348 direct Codex labels and 10,348 direct Gemma labels. Candidate is the union of thresholded teacher heads; consensus is their intersection. These outputs are machine_predicted_unvalidated and are not human labels or direct frontier model labels.
Codex and Gemma teacher scores by category
| Category | Codex | Gemma |
|---|---|---|
| Metaresearch | 0.000 | 0.000 |
| Meta-epidemiology (narrow) | 0.000 | 0.000 |
| Meta-epidemiology (broad) | 0.000 | 0.000 |
| Bibliometrics | 0.000 | 0.000 |
| Science and technology studies | 0.000 | 0.000 |
| Scholarly communication | 0.000 | 0.000 |
| Open science | 0.000 | 0.000 |
| Research integrity | 0.000 | 0.000 |
| Insufficient payload (model declined to judge) | 0.000 | 0.000 |
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 teacher head, 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".