Cited by 119Neutrino Physics ResearchParticle physics theoretical and experimental studiesNuclear physics research studies

Three flavor neutrino oscillations in matter

Open access
Ohlsson, Tommy, Snellman, Håkan·2000·Journal of Mathematical Physics

Abstract

We derive analytic expressions for three flavor neutrino oscillations in the presence of matter in the plane wave approximation using the Cayley–Hamilton formalism. Especially, we calculate the time evolution operator in both flavor and mass bases. Furthermore, we find the transition probabilities, matter mass squared differences, and matter mixing angles all expressed in terms of the vacuum mass squared differences, the vacuum mixing angles, and the matter density. The conditions for resonance in the presence of matter are also studied in some examples.

Integrity signals

Registry

Crossref · 10.1063/1.533270

Cites

21 of 21 references verified0 citation errors · 0 not checkable

Statistics

Recomputing p-values needs the paper’s full text.

Claims the paper makes

We couldn’t retrieve this paper’s full text, so its claims and self-check weren’t run. The registry and citation checks still apply.

Claims other papers make about this one

Each is checked against this paper’s own text: does it say what the citing paper says it does?

  • SciCode includes research problems built upon or reproducing methods used in Nobel Prize-winning studies.

    “We also include several research problems that are built upon or reproduce methods used in Nobel Prize-winning studies to highlight current trends in scientific research: the self-consistent field (SCF) method for density functional theory (DFT) calculations [37] (The Nobel Prize in Chemistry 1998) , the PMNS matrix for neutrino oscillation in matter [54, 61] (The Nobel Prize in Physics 2015) ,”

    From SciCode: A Research Coding Benchmark Curated by Scientists (2024) · cites this paper as [61]

Cites

Flagged first, then by citations

Cited by

Sorted by citations

Authors
Ohlsson, T., & Snellman, H.
Affiliations
  • Division of Mathematical Physics, Theoretical Physics, Department of Physics, Royal Institute of Technology, SE-100 44 Stockholm, Sweden
  • KTH Royal Institute of Technology (SE)
Venue
Journal of Mathematical Physics
Published
2000-05-01
Volume
41
Issue
5
Pages
2768-2788
ISSN
  • 0022-2488 (ISSN-L)
  • 1089-7658
OpenAlex
W2135192587
Cited by
118
References
21
Citations by year
2026: 5 · 2025: 12 · 2024: 6 · 2023: 8 · 2022: 1 · 2021: 5 · 2020: 4 · 2019: 2 · 2018: 6 · 2016: 4 · 2015: 3 · 2014: 3 · 2013: 2 · 2012: 2
FWCI
6.25
Type
journal article
Language
en
Open access
Locations
  • Journal of Mathematical Physics (publishedVersion)
  • arXiv (Cornell University) (submittedVersion)
  • KTH Publication Database DiVA (KTH Royal Institute of Technology) (submittedVersion, other-oa)
  • arXiv (Cornell University)
Topics
  • Physical Sciences › Physics and Astronomy › Nuclear and High Energy Physics › Neutrino Physics Research
  • Physical Sciences › Physics and Astronomy › Nuclear and High Energy Physics › Particle physics theoretical and experimental studies
  • Physical Sciences › Physics and Astronomy › Nuclear and High Energy Physics › Nuclear physics research studies
Keywords
three-flavor neutrino oscillations, neutrino oscillations in matter, plane wave approximation, evolution operator, transition probabilities, matter density

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