The DOI matches its Crossref record; 6 of the 6 references it cites were found in a registry or an index.
Derivation of the nonlinear Schrödinger equation from a many-body Coulomb system
Open accessAbstract
We consider the time evolution of iV bosonic particles interacting via a mean field Coulomb potential.Suppose the initial state is a product wavefunction.We show that at any finite time the correlation functions factorize in the limit N -> oo.Furthermore, the limiting one particle density matrix satisfies the nonlinear Hartree equation.The key ingredients are the uniqueness of the BBGKY hierarchy for the correlation functions and a new apriori estimate for the many-body Schrodinger equations.
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
Methods of Modern Mathematical Physics
(1972) · Elsevier eBooks · doi:10.1016/b978-0-12-585001-8.x5001-6 · Cited by 8,883
Trace Ideals and Their Applications
Simon, B. (2010) · Mathematical Surveys and Monographs · doi:10.1090/surv/120 · Cited by 1,976
The classical limit for quantum mechanical correlation functions
Hepp, K. (1974) · Communications in Mathematical Physics · doi:10.1007/bf01646348 · Cited by 540
The classical field limit of scattering theory for non-relativistic many-boson systems. II
Ginibre, J., & Velo, G. (1979) · Communications in Mathematical Physics · doi:10.1007/bf01562541 · Cited by 177
Kinetic equations from Hamiltonian dynamics
Spohn, H. E. (1978) · Cited by 132
Derivation of the Schrödinger–Poisson equation from the quantum 𝐍 -body problem
Bardos, C., Erdős, L., Golse, F., Mauser, N. J., & Yau, H. (2002) · Comptes Rendus Mathématique · doi:10.1016/s1631-073x(02)02253-7 · Cited by 107
Self-citation
Cited by
Bojowald, M. (2015) · Reports on Progress in Physics · doi:10.1088/0034-4885/78/2/023901 · Cited by 174
Metadata
- Authors
- Erdős, L., & Yau, H.-T.
- Venue
- Advances in Theoretical and Mathematical Physics
- Publisher
- International Press of Boston
- Published
- 2001
- Volume
- 5
- Issue
- 6
- Pages
- 1169-1205
- ISSN
- 1095-0753 (ISSN-L)
- 1095-0761
- OpenAlex
- W2963184103
- Cited by
- 257
- References
- 6
- FWCI
- 4.17
- 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: Derivation of the nonlinear Schrödinger equation from a many-body Coulomb system. https://app.cochat.ai/papers/10.4310/atmp.2001.v5.n6.a6
- The paper
- Erdős, L., & Yau, H.-T. (2001). Derivation of the nonlinear Schrödinger equation from a many-body Coulomb system. Advances in Theoretical and Mathematical Physics. https://doi.org/10.4310/atmp.2001.v5.n6.a6
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.
