Zobrazeno 1 - 10
of 31
pro vyhledávání: '"Schraven, Severin"'
We prove upper and lower bounds for the number of eigenvalues of semi-bounded Schr\"odinger operators in all spatial dimensions. As a corollary, we obtain two-sided estimates for the sum of the negative eigenvalues of atomic Hamiltonians with Kato po
Externí odkaz:
http://arxiv.org/abs/2403.19023
We prove an upper and a lower bound on the rank of the spectral projections of the Schr\"odinger operator $-\Delta + V$ in terms of the volume of the sublevel sets of an effective potential $\frac{1}{u}$. Here, $u$ is the `landscape function' of [(Da
Externí odkaz:
http://arxiv.org/abs/2306.03936
We establish a local to global principle for higher moments over holomorphy rings of global function fields and use it to compute the higher moments of rectangular unimodular matrices and Eisenstein polynomials with coefficients in such rings.
C
C
Externí odkaz:
http://arxiv.org/abs/2212.00895
The local to global principle for densities is a very convenient tool proposed by Poonen and Stoll to compute the density of a given subset of the integers. In this paper we provide an effective criterion to find all higher moments of the density (e.
Externí odkaz:
http://arxiv.org/abs/2201.03751
We consider systems of $N$ bosons in $\mathbb{R}^3$, trapped by an external potential. The interaction is repulsive and has a scattering length of the order $N^{-1}$ (Gross-Pitaevskii regime). We determine the ground state energy and the low-energy e
Externí odkaz:
http://arxiv.org/abs/2108.11129
We consider a Bose gas consisting of $N$ particles in $\mathbb{R}^3$, trapped by an external field and interacting through a two-body potential with scattering length of order $N^{-1}$. We prove that low energy states exhibit complete Bose-Einstein c
Externí odkaz:
http://arxiv.org/abs/2102.11052
This paper constructs a new local to global principle for expected values over free $\mathbb{Z}$-modules of finite rank. In our strategy we use the same philosophy as Ekedhal's Sieve for densities, later extended and improved by Poonen and Stoll in t
Externí odkaz:
http://arxiv.org/abs/2008.06235
Publikováno v:
In Journal of Number Theory September 2022 238:1-16
Autor:
Micheli, Giacomo1 (AUTHOR), Schraven, Severin2 (AUTHOR), Tinani, Simran3 (AUTHOR), Weger, Violetta4 (AUTHOR) violetta.weger@tum.de
Publikováno v:
Research in Number Theory. 8/2/2023, Vol. 9 Issue 3, p1-21. 21p.
Publikováno v:
Ann. Henri Poincare'
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::ca11a75e12e169e345efa8fae8988ea0
https://doi.org/10.1007/s00023-021-01151-z
https://doi.org/10.1007/s00023-021-01151-z