A simple approach to Lieb–Thirring type inequalities

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Standard

A simple approach to Lieb–Thirring type inequalities. / Seiringer, Robert; Solovej, Jan Philip.

In: Journal of Functional Analysis, Vol. 285, No. 10, 110129, 2023.

Research output: Contribution to journal › Journal article › Research › peer-review

Harvard

Seiringer, R & Solovej, JP 2023, 'A simple approach to Lieb–Thirring type inequalities', Journal of Functional Analysis, vol. 285, no. 10, 110129. https://doi.org/10.1016/j.jfa.2023.110129

APA

Seiringer, R., & Solovej, J. P. (2023). A simple approach to Lieb–Thirring type inequalities. Journal of Functional Analysis, 285(10), [110129]. https://doi.org/10.1016/j.jfa.2023.110129

Vancouver

Seiringer R, Solovej JP. A simple approach to Lieb–Thirring type inequalities. Journal of Functional Analysis. 2023;285(10). 110129. https://doi.org/10.1016/j.jfa.2023.110129

Author

Seiringer, Robert ; Solovej, Jan Philip. / A simple approach to Lieb–Thirring type inequalities. In: Journal of Functional Analysis. 2023 ; Vol. 285, No. 10.

Bibtex

@article{5ad76c8d82f641fca8bcdaabfd626a61,
title = "A simple approach to Lieb–Thirring type inequalities",
abstract = "In [10] Nam proved a Lieb–Thirring Inequality for the kinetic energy of a fermionic quantum system, with almost optimal (semi-classical) constant and a gradient correction term. We present a stronger version of this inequality, with a much simplified proof. As a corollary we obtain a simple proof of the original Lieb–Thirring inequality.",
keywords = "Density functional theory, Lieb-Thirring inequality, Semiclassics",
author = "Robert Seiringer and Solovej, {Jan Philip}",
note = "Publisher Copyright: {\textcopyright} 2023 The Author(s)",
year = "2023",
doi = "10.1016/j.jfa.2023.110129",
language = "English",
volume = "285",
journal = "Journal of Functional Analysis",
issn = "0022-1236",
publisher = "Academic Press",
number = "10",

}

RIS

TY - JOUR

T1 - A simple approach to Lieb–Thirring type inequalities

AU - Seiringer, Robert

AU - Solovej, Jan Philip

N1 - Publisher Copyright: © 2023 The Author(s)

PY - 2023

Y1 - 2023

N2 - In [10] Nam proved a Lieb–Thirring Inequality for the kinetic energy of a fermionic quantum system, with almost optimal (semi-classical) constant and a gradient correction term. We present a stronger version of this inequality, with a much simplified proof. As a corollary we obtain a simple proof of the original Lieb–Thirring inequality.

AB - In [10] Nam proved a Lieb–Thirring Inequality for the kinetic energy of a fermionic quantum system, with almost optimal (semi-classical) constant and a gradient correction term. We present a stronger version of this inequality, with a much simplified proof. As a corollary we obtain a simple proof of the original Lieb–Thirring inequality.

KW - Density functional theory

KW - Lieb-Thirring inequality

KW - Semiclassics

U2 - 10.1016/j.jfa.2023.110129

DO - 10.1016/j.jfa.2023.110129

M3 - Journal article

AN - SCOPUS:85169037086

VL - 285

JO - Journal of Functional Analysis

JF - Journal of Functional Analysis

SN - 0022-1236

IS - 10

M1 - 110129

ER -

ID: 371656663