Results 51 to 60 of about 8,260 (218)

An exciting Approach to Theoretical Spectroscopy

Advanced Science, EarlyView.
ABSTRACT Theoretical spectroscopy, and more generally, electronic‐structure theory, are powerful concepts for describing the complex many‐body interactions in materials. They cover methods from ground‐state properties to lattice excitations and light‐matter interaction, including time‐resolved variants.
Martí Raya‐Moreno, Alexander Buccheri, Noah Alexy Dasch, Nasrin Farahani, Ignacio Gonzalez Oliva, Andris Gulans, Seokhyun Hong, Manoar Hossain, Hannah Kleine, Martin Kuban, Sven Lubeck, Benedikt Maurer, Pasquale Pavone, Fabian Peschel, Daria Popova‐Gorelova, Lu Qiao, Elias Richter, Santiago Rigamonti, Ronaldo Rodrigues Pela, Maximilian Schebek, Kshitij Sinha, Daniel T. Speckhard, Jan Stutz, Sebastian Tillack, Dmitry Tumakov, Jānis Užulis, Mara Voiculescu, Cecilia Vona, Mao Yang, Claudia Draxl   +29 more
wiley   +1 more source

Existence of solutions for a doubly critical Schrödinger-Poisson system on the first Heisenberg group [PDF]

Opuscula Mathematica
This work is devoted to the study of a class of Schrödinger-Poisson system with doubly critical growth on the first Heisenberg group. Utilizing the concentration-compactness principle associated with classical Sobolev space on the Heisenberg group and ...
Xueyan Ma, Shaoyun Shi, Yueqiang Song
doaj   +1 more source

Geometric Hardy and Hardy–Sobolev inequalities on Heisenberg groups

Bulletin of Mathematical Sciences, 2020
In this paper, we present geometric Hardy inequalities for the sub-Laplacian in half-spaces of stratified groups. As a consequence, we obtain the following geometric Hardy inequality in a half-space of the Heisenberg group with a sharp constant: ∫ℍ ...
Michael Ruzhansky, Bolys Sabitbek, Durvudkhan Suragan   +2 more
doaj   +1 more source

Polarization Dynamics in Ferroelectrics: Insights Enabled by Machine Learning Molecular Dynamics

Advanced Science, EarlyView.
Machine learning molecular dynamics is presented as a route to capture polarization switching, domain wall kinetics, topological polar textures, and polar mechanical coupling beyond the limits of conventional atomistic methods. This Perspective surveys recent progress and identifies key methodological directions, including long‐range electrostatics ...
Dongyu Bai, Ri He, Junxian Liu, Liangzhi Kou   +3 more
wiley   +1 more source

On Minty’s theorem in the Heisenberg group [PDF]

Nonlinear Analysis: Theory, Methods & Applications, 2014
In this paper we extend some classical results of Convex Analysis to the sub-Riemannian setting of the Heisenberg group. In particular, we provide a horizontal version of Minty's theorem concerning maximal H-monotone operators defined in the Heisenberg group with values in the first layer of its Lie algebra.
PINI, RITA, CALOGERO, ANDREA GIOVANNI
openaire   +4 more sources

An improved Hardy type inequality on Heisenberg group

Journal of Inequalities and Applications, 2011
Motivated by the work of Ghoussoub and Moradifam, we prove some improved Hardy inequalities on the Heisenberg group ℍ n via Bessel function.
Xiao Ying-Xiong
doaj  

Heisenberg Hausdorff Dimensionof Besicovitch Sets

Analysis and Geometry in Metric Spaces, 2014
We consider (bounded) Besicovitch sets in the Heisenberg group and prove that Lp estimates forthe Kakeya maximal function imply lower bounds for their Heisenberg Hausdorff dimension.
Venieri Laura
doaj   +1 more source

A Phosphorylation‐Induced Micellization Switch in the Low‐Complexity Domain of TDP‐43

Advanced Science, EarlyView.
Phosphorylation of TAR DNA‐binding protein's 43 kDa (TDP‐43) low‐complexity domain by casein kinase 1 delta (CK1δ) acts as a molecular switch, redirecting its self‐assembly from macroscopic phase separation toward finite‐sized, spherical block‐copolymer micelles of ∼30 nm.
Rodrigo F. Dillenburg, Anastasia Lopatina, Hao Ruan, Tom Scheidt, Simone Mosna, Emre Pekbilir, Julia Bieber, Frank Schäfer‐Depoix, Katharina Landfester, Carla Schmidt, Martin M. Möckel, Svenja Morsbach, Friederike Schmid, Dorothee Dormann, Lukas Stelzl, Martin Girard, Edward A. Lemke   +16 more
wiley   +1 more source