The Mathematics of Interacting Fermions

Project Information

FermiMath

Grant agreement ID: 101040991

DOI

10.3030/101040991

EC signature date 2 February 2022

Start date 1 May 2022

End date 30 April 2027

Funded under

• European Research Council (ERC)

Total cost

€ 1 306 637,00

EU contribution

€ 1 306 637,00

Coordinated by

UNIVERSITA DEGLI STUDI DI MILANO
Italy

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Links to deliverables and publications from FP7 projects, as well as links to some specific result types such as dataset and software, are dynamically retrieved from OpenAIRE .

Deliverables

Data Management Plan (1)

Data Management Plan

The research of this project is purely mathematical, no data is collected or processed, and no simulations or numerical computations are involved either. All results consist of mathematical theorems and proofs, which will be directly published in journals as well as on arxiv. Thus no particular data management should be necessary.

Publications

Book chapters (2)

Two Comments on the Derivation of the Time-Dependent Hartree–Fock Equation

Author(s): Niels Benedikter, Davide Desio
Published in: Springer INdAM Series, Issue 57, 2023, ISBN 978-981-99-5894-8
Publisher: Springer
DOI: 10.48550/arXiv.2207.07939

Bogoliubov Transformations Beyond Shale–Stinespring: Generic $$ v^* v $$ for Bosons

Author(s): Lill, Sascha
Published in: Springer Indam Series, Issue 58, 2023, ISBN 978-981-99-5884-9
Publisher: Springer
DOI: 10.48550/arxiv.2208.03487

Peer reviewed articles (6)

Friedrichs diagrams: bosonic and fermionic

Author(s): Morris Brooks; Sascha Lill
Published in: Letters in Mathematical Physics, Issue Volume 113, article number 101, 2023, ISSN 1573-0530
Publisher: Springer
DOI: 10.48550/arxiv.2303.13925

Extended state space for describing renormalized Fock spaces in QFT

Author(s): Sascha Lill
Published in: Reviews in Mathematical Physics, Issue 36, 2024, ISSN 0129-055X
Publisher: World Scientific Pub Co Pte Ltd
DOI: 10.1142/S0129055X24500296

Correlation Energy of a Weakly Interacting Fermi Gas with Large Interaction Potential

Author(s): Benedikter, Niels; Porta, Marcello; Schlein, Benjamin; Seiringer, Robert
Published in: Archive of Rational Mechanics and Analysis, Issue 247:65, 2023, ISSN 1432-0673
Publisher: Springer
DOI: 10.5167/uzh-235341

Journal of Mathematical Physics

Author(s): Ngoc Nhi Nguyen
Published in: Journal of Mathematical Physics, Issue 65, 113503, 2024, ISSN 0022-2488
Publisher: American Institute of Physics
DOI: 10.48550/arxiv.2305.06237

Journal of Mathematical Physics

Author(s): Benedikter N.
Published in: Journal of Mathematical Physics, Issue 63, 081101, 2022, ISSN 0022-2488
Publisher: AIP
DOI: 10.48550/arxiv.2203.11255

Journal of Functional Analysis

Author(s): Ngoc Nhi Nguyen
Published in: Journal of Functional Analysis, Issue Volume 286, Issue 1, 110196, 2024, ISSN 0022-1236
Publisher: Science Direct
DOI: 10.48550/arxiv.2205.00722

Conference proceedings (2)

Bozonized Momentum Distribution of a Fermi Gas via Friedrichs Diagrams

Author(s): Sascha Lill
Published in: Proceedings of the PST Puglia Summer Trimester 2023, 2023
Publisher: Springer Nature
DOI: 10.48550/arXiv.2311.11945

Self-adjointness and domain of generalized spin-boson models with mild ultraviolet divergences

Author(s): Lill, Sascha; Lonigro, Davide
Published in: Proceedings of the PST Puglia Summer Trimester 2023, 2023
Publisher: Springer Nature
DOI: 10.48550/arxiv.2307.14727