Results 61 to 70 of about 402,561 (332)

Representable cylindric algebras

Annals of Pure and Applied Logic, 1986
This article is a continuation of an earlier one by the same authors [Lect. Notes Math. 883, 1-129 (1981; Zbl 0497.03025)]. It contains various sufficient conditions for representability of cylindric algebras; also three methods for constructing non-representable algebras are described.
J. Donald Monk, Leon Henkin, Alfred Tarski   +2 more
openaire   +3 more sources

Demonstration of an All‐Optical AND Gate Mediated by Photochromic Molecules

Advanced Functional Materials, EarlyView.
A logic AND gate that runs on photons is demonstrated. It relies on two spatially separated photochromic molecules that work in tandem. Abstract The realization of a photonic logic AND gate, i.e. a logic AND gate that runs on photons rather than electrons, and where all steps are controlled by light, is demonstrated. In a proof‐of‐principle experiment,
Heyou Zhang, Max Gießübel, Pankaj Dharpure, Andrea Albert, Vira Niestierkina, Paul Mulvaney, Mukundan Thelakkat, Jürgen Köhler   +7 more
wiley   +1 more source

Enhancing the Photocatalytic Performance of Carbon Nitrides Through Controlled Local Structure Modification

Advanced Functional Materials, EarlyView.
This work utilizes poly(heptazine imides) as a model system to demonstrate how fine‐tuning the crystal structure influences the photocatalytic properties of layered carbon nitrides in the hydrogen evolution reaction. In particular, the nature of rotational defects and the hydration shell of cations are key contributors to enhanced hydrogen evolution ...
Diana V. Piankova, Hannes Zschiesche, Alexander P. Tyutyunnik, Erik Svensson Grape, Caio Vinícius C. R. da Silva, Walber G. Guimarães Junior, Andre. F. de Moura, Izadora F. Reis, Gabriel Ali A. Diab, José Balena G. Filho, Ivo F. Teixeira, Nadezda V. Tarakina   +11 more
wiley   +1 more source

Interaction of non-Abelian tensor gauge fields

Physics Letters B, 2018
The non-Abelian tensor gauge fields take value in extended Poincaré algebra. In order to define the invariant Lagrangian we introduce a vector variable in two alternative ways: through the transversal representation of the extended Poincaré algebra and ...
George Savvidy
doaj   +1 more source

Adelic analysis and functional analysis on the finite Adele ring [PDF]

Opuscula Mathematica, 2018
In this paper, we study operator theory on the \(*\)-algebra \(\mathcal{M}_{\mathcal{P}}\), consisting of all measurable functions on the finite Adele ring \(A_{\mathbb{Q}}\), in extended free-probabilistic sense. Even though our \(*\)-algebra \(\mathcal{
Ilwoo Cho
doaj   +1 more source

Temperley-Lieb Words as Valence-Bond Ground States

, 1994
Based on the Temperley--Lieb algebra we define a class of one-dimensional Hamiltonians with nearest and next-nearest neighbour interactions. Using the regular representation we give ground states of this model as words of the algebra.
Affleck I, Affleck I, Anderson P W, Barber M N, Batchelor M T, Batchelor M T, Batchelor M T, C M Yung, Klümper A, Majumdar C K, Majumdar C K, Martin P P, P F Arndt, T Heinzel, Takano K, Temperley H N V, van den Broek P M   +16 more
core   +1 more source

Spatiotemporally Resolved Orbital Hall Effect in a Topological Semimetal

Advanced Materials, EarlyView.
Real‐space mapping of orbital angular momentum (OAM) transport is achieved using contact‐free polarimetric terahertz spectroscopy. This principle is applied to the topological semimetal Td‐WTe2, revealing the spatial separation of electrons into two distinct regions characterized by opposite out‐of‐plane OAM (±Lz).
Byung Cheol Park, Taewoo Ha, Hojun Lee, Kyung Ik Sim, Insu Baek, Seok Joon Yun, Kyujoon Lee, Hyun‐Woo Lee, Young Hee Lee   +8 more
wiley   +1 more source

$ \mathbb{Z}_2 \times \mathbb{Z}_2 $ generalizations of ${\cal N} = 1$ superconformal Galilei algebras and their representations

, 2018
We introduce two classes of novel color superalgebras of $ \mathbb{Z}_2 \times \mathbb{Z}_2 $ grading. This is done by realizing members of each in the universal enveloping algebra of the ${\cal N}=1$ supersymmetric extension of the conformal Galilei ...
Aizawa, N., Isaac, P. S., Segar, J.
core   +1 more source

Manipulating Individual Topological Solitons and Bisolitons in an Electronic System

Advanced Materials, EarlyView.
While localized topological modes in quantum materials promise loss‐less delivery of classical and quantum information, manipulating them individually has been challenging. This work succeeded in manipulating topological solitons formed along atomic wires on silicon surfaces with high reproducibility in various ways, including translating, transforming
Taehwan Im, Jae Whan Park, Han Woong Yeom   +2 more
wiley   +1 more source

Unordered Tuples in Quantum Computation [PDF]

Electronic Proceedings in Theoretical Computer Science, 2015
It is well known that the C*-algebra of an ordered pair of qubits is M_2 (x) M_2. What about unordered pairs? We show in detail that M_3 (+) C is the C*-algebra of an unordered pair of qubits. Then we use Schur-Weyl duality to characterize the C*-algebra
Robert Furber, Bas Westerbaan
doaj   +1 more source