Results 61 to 70 of about 564,454 (361)

A computational introduction to number theory and algebra

open access: yesMathematics of Computation, 2007
Principles of Applied Mathematics provides a comprehensive look at how classical methods are used in many fields and contexts. Updated to reflect developments of the last twenty years, it shows how two areas of classical applied mathematics spectral ...
Gregor Kemper
semanticscholar   +1 more source

Manipulating Individual Topological Solitons and Bisolitons in an Electronic System

open access: yesAdvanced 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   +2 more
wiley   +1 more source

Observation of Topological Chirality Switching Induced Freezing of a Skyrmion Crystal

open access: yesAdvanced Materials, EarlyView.
Using Lorentz Transmission electron microscopy, it is shown that in the insulating van der Waals ferromagnet, CrBr3, a magnetic field can cause Bloch skyrmionic bubbles to spontaneously switch their chirality. As achiral type‐II bubbles are an intermediate state, the bubbles rapidly elongate and shrink when switching, thereby inducing a freezing of the
John Fullerton   +10 more
wiley   +1 more source

Lorentzian Lie (3-)algebra and toroidal compactification of M/string theory [PDF]

open access: yes, 2009
We construct a class of Lie 3-algebras with an arbitrary number of pairs of generators with Lorentzian signature metric. Some examples are given and corresponding BLG models are studied.
P. Ho, Y. Matsuo, Shotaro Shiba
semanticscholar   +1 more source

Experimental Test of the Three‐Setting Clauser–Horne–Shimony–Holt Inequality with Nonmaximally Orbital Angular Momentum Entangled States

open access: yesAdvanced Photonics Research, EarlyView.
Herein, the maximum violation of the three‐setting Clauser–Horne–Shimony–Holt (CHSH) inequality using nonmaximally entangled photons with orbital angular momentum is demonstrated. By mapping the optimization problem to maximizing a triangle's perimeter inscribed in an ellipse, the experiment validates the geometric approach and highlights the ...
Dongkai Zhang   +2 more
wiley   +1 more source

Unitary Irreducible Representations of a Lie Algebra for Matrix Chain Models

open access: yes, 2001
There is a decomposition of a Lie algebra for open matrix chains akin to the triangular decomposition. We use this decomposition to construct unitary irreducible representations. All multiple meson states can be retrieved this way. Moreover, they are the
Jakobsen, H. P., Lee, C. -W. H.
core   +1 more source

Continuum Mechanics Modeling of Flexible Spring Joints in Surgical Robots

open access: yesAdvanced Robotics Research, EarlyView.
A new mechanical model of a tendon‐actuated helical extension spring joint in surgical robots is built using Cosserat rod theory. The model can implicitly handle the unknown contacts between adjacent coils and numerically predict spring shapes from straight to significantly bent under actuation forces.
Botian Sun   +3 more
wiley   +1 more source

Excitations in strict 2-group higher gauge models of topological phases

open access: yesJournal of High Energy Physics, 2020
We consider an exactly solvable model for topological phases in (3+1) d whose input data is a strict 2-group. This model, which has a higher gauge theory interpretation, provides a lattice Hamiltonian realisation of the Yetter homotopy 2-type topological
Alex Bullivant, Clement Delcamp
doaj   +1 more source

Formal proofs in real algebraic geometry: from ordered fields to quantifier elimination [PDF]

open access: yesLogical Methods in Computer Science, 2012
This paper describes a formalization of discrete real closed fields in the Coq proof assistant. This abstract structure captures for instance the theory of real algebraic numbers, a decidable subset of real numbers with good algorithmic properties.
Assia Mahboubi, Cyril Cohen
doaj   +1 more source

Fermions in the Lowest Landau Level: Bosonization, $W_{\infty}$ Algebra, Droplets, Chiral Boson

open access: yes, 1992
We present field theoretical descriptions of massless (2+1) dimensional nonrelativistic fermions in an external magnetic field, in terms of a fermionic and bosonic second quantized language.
Avan   +29 more
core   +1 more source

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