The DOI matches its Crossref record; 2 of the 2 references it cites were found in a registry or an index.
f-oscillators and nonlinear coherent states
Open accessAbstract
The notion of f-oscillators generalizing q-oscillators is introduced. For classical and quantum cases, an interpretation of the f-oscillator is provided as corresponding to a special nonlinearity of vibration for which the frequency of oscillation depends on the energy. The f-coherent states (nonlinear coherent states) generalizing q-coherent states are constructed. Applied to quantum optics, photon distribution function, photon number means, and dispersions are calculated for the f-coherent states as well as the Wigner function and Q -function. As an example, it is shown how this nonlinearity may affect the Planck distribution formula.
Overview
The claims and statistics of this paper haven’t been checked yet.
Run the check — free, no account needed. It reads the open-access text and checks the sources it cites.
Integrity signals
Registry
Cites
Statistics
Verification
Claims the paper makes
The claims and statistics of this paper haven’t been checked yet.
Run the check — free, no account needed. It reads the open-access text and checks the sources it cites.
Self-check
Percentages, sums and reported differences re-computed from the paper’s own numbers.
The self-check needs the paper’s full text.
Citations
Cites
On the Quantum Correction For Thermodynamic Equilibrium
Wigner, E. (1932) · Physical Review · doi:10.1103/physrev.40.749 · Cited by 9,283
�ber den anschaulichen Inhalt der quantentheoretischen Kinematik und Mechanik
Heisenberg, W. (1927) · Zeitschrift f�r Physik · doi:10.1007/bf01397280 · Cited by 4,278
Cited by
Multiphoton quantum optics and quantum state engineering
Dell’Anno, F., De Siena, S., & Illuminati, F. (2006) · Physics Reports · doi:10.1016/j.physrep.2006.01.004 · Cited by 310
Metadata
- Authors
- Man'ko, V. I., Marmo, G., Sudarshan, E. C. G., & Zaccaria, F.
- Venue
- Physica Scripta
- Publisher
- IOP Publishing
- Published
- 1997-05-01
- Volume
- 55
- Issue
- 5
- Pages
- 528-541
- ISSN
- 0031-8949 (ISSN-L)
- 1402-4896
- OpenAlex
- W2040517795
- Cited by
- 515
- References
- 2
- FWCI
- 11.28
- Type
- journal article
- Language
- en
- Open access
- bronze
About these checks
Registry, retraction, Cites and statistics results are computed, not judged, with one exception: a printed reference that no index lists is read once by a model before it counts as a citation error. Claims are extracted by a model and kept only when their quote appears verbatim in the text; each cited source is then checked, with a model’s help, for whether it says what the claim relies on. Those verdicts can be wrong — read the claim’s quote and the cited source before relying on one.
Statistics and arithmetic are recomputed, not judged.
Confidence bands are shown only for fields calibrated on our annotated test set. None is calibrated yet, so no band is shown.
What counts as a claim ›How we measure confidence ›How we check this ›
Are you an author, or do you see a problem with this page? Request a review
How to cite
Cite CoChat for the checks on this page, and the paper for its own findings.
- This page
- CoChat. (2026). Citation check: f-oscillators and nonlinear coherent states. https://app.cochat.ai/papers/10.1088/0031-8949/55/5/004
- The paper
- Man'ko, V. I., Marmo, G., Sudarshan, E. C. G., & Zaccaria, F. (1997). f-oscillators and nonlinear coherent states. Physica Scripta. https://doi.org/10.1088/0031-8949/55/5/004
Data sources
Bibliographic data: Semantic Scholar, OpenAlex, Crossref.
Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).
Semantic Scholar’s data is described in: Kinney, R., et al. (2023). The Semantic Scholar Open Data Platform. arXiv:2301.10140.
