Results 41 to 50 of about 19,610 (266)

Symmetry‐Imposed Selection Rules for Excitations of Nontrivial Plasmonic Topologies

Advanced Science, EarlyView.
A unified group‐theory selection rule governs the excitation of vectorial nearfield topologies across three plasmonic spin states. Derived from first principles, it predicts spin–orbit vortex splitting and multidimensional nested vortices, confirmed by phase‐resolved in situ measurements.
Jie Yang, Pengyi Feng, Fei Han, Weijin Chen, Zhongwei Jin, Jincheng Ni, Yuanjie Yang, Anxue Zhang, Guy A. E. Vandenbosch, Niels Verellen, Ewald Janssens, Jiafu Wang, Benfeng Bai, Cheng‐Wei Qiu, Xuezhi Zheng   +14 more
wiley   +1 more source

Notes on the factorisation of the Hilbert space for two-sided black holes in higher dimensions

Journal of High Energy Physics
In this paper, we investigate the Hilbert space factorisation problem of two-sided black holes in high dimensions. We demonstrate that the Hilbert space of two-sided black holes can be factorized into the tensor product of two one-sided bulk Hilbert ...
Pan Li
doaj   +1 more source

Convexity, boundedness, and almost periodicity for differential equations in Hillbert space

International Journal of Mathematics and Mathematical Sciences, 1979
There are three kinds of results. First we extend and sharpen a convexity inequality of Agmon and Nirenberg for certain differential inequalities in Hilbert space.
Jerome A. Goldstein
doaj   +1 more source

Green's Functions of Non‐Hermitian Systems at Exceptional Deficiency

Advanced Science, EarlyView.
We analyze the responses of a non‐Hermitian lattice system under the condition of exceptional deficiency (ED), when all bands in the system are formed by exceptional points. Using the frequency domain, we identify novel steady‐state responses that root in the broadband super‐Lorentzian Green's function (GF).
Congwei Lu, Guancong Ma
wiley   +1 more source

Co‐activation of Selective Nicotinic Acetylcholine Receptor Subtypes Is Required for Neuroprotection against Alzheimer's Disease

Advanced Science, EarlyView.
ABSTRACT Beta‐amyloid peptide (Aβ)‐induced suppression of hippocampal GABAergic interneuron activity drives hyperexcitability, amyloid pathology, and cognitive impairment in Alzheimer's disease (AD), suggesting that enhancing hippocampal inhibition may be protective.
Rahmi Lee, Gayeon Kim, Ellison R. Black, Seonil Kim   +3 more
wiley   +1 more source

Advances in Josephson Junction Materials and Processes Toward Practical Quantum Computing

Advanced Science, EarlyView.
Emerging materials for quantum computing, including crystalline materials, two‐dimensional van der Waals materials, two‐dimensional electron gas systems, ferromagnets, and unconventional (e.g., d‐wave) superconductors, offer opportunities to engineer next‐generation Josephson junctions.
Hyunseong Kim, Gyunghyun Jang, Seungwon Jin, Jaewon An, Dongbin Shin, Hyeon‐Jin Shin, Jie Luo, Akel Hashim, Irfan Siddiqi, Yosep Kim, Long B. Nguyen, Hoon Hahn Yoon   +11 more
wiley   +1 more source

Fixed Point Property for Nonexpansive Mappings and Reflexivity: A Hilbert C∗-Module Approach

Journal of Function Spaces
We prove that for any infinite-dimensional Hilbert space H, there exists a sequence of infinite-dimensional, full Hilbert C∗-modules over KH—the C∗-algebra of compact operators on H—each of which is isomorphic to H and has the fixed point property for ...
Kourosh Nourouzi
doaj   +1 more source

ON HILBERT-SCHMIDT OPERATORS BETWEEN NON-SEPARABLE HILBERT SPACES

Al-Ulum
We first study Hilbert–Schmidt operators between non-separable Hilbert spaces. We employ concepts such as summable families in normed spaces, the packet summation theorem, and Hilbert bases.
Lucien Tebua Limalo Koto, Nestor Anzola Kibamba, Fidele Balibuno Luganda, Joseph-Desiré Bukweli Kyemba, Alain Musesa Landa   +4 more
doaj   +1 more source

Characterization, Dilation, and Perturbation of Basic Continuous Frames

Journal of Mathematics, 2022
A vector-valued function is called a basic continuous frame if it is a continuous frame for its spanning space. It is shown in this article that basic continuous frames and their oblique duals can be characterized by operators with closed ranges ...
Xin Zhao, Pengtong Li
doaj   +1 more source

Compressed Sensing in Hilbert Spaces [PDF]

, 2017
In many linear inverse problems, we want to estimate an unknown vector belonging to a high-dimensional (or infinite-dimensional) space from few linear measurements. To overcome the ill-posed nature of such problems, we use a low-dimension assumption on the unknown vector: it belongs to a low-dimensional model set. The question of whether it is possible
Traonmilin, Yann, Puy, Gilles, Gribonval, Rémi, Davies, Mike   +3 more
openaire   +3 more sources