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This is a survey of noncommutative generalizations of the spectrum of a ring, written for the Notices of the American Mathematical Society.

Rings and Algebras · Mathematics 2025-01-14 Manuel Reyes

This encyclopedia article briefly reviews without proofs some of the main results in cotangent bundle reduction. The article recalls most the necessary prerequisites to understand the main results.

Symplectic Geometry · Mathematics 2007-05-23 Juan-Pablo Ortega , Tudor S. Ratiu

We summarize recent developments in the understanding of nucleon structure. New data on F2, R and F2c, over a wide range of Q2 and x, are described. Conventional leading twist NLO perturbative QCD gives an excellent account of all the new…

High Energy Physics - Phenomenology · Physics 2007-05-23 R. D. Ball , A. De Roeck

These Lectures are based on a course on noncommutative geometry given by the author in 2003 at the University of Chicago. The lectures contain some standard material, such as Poisson and Gerstenhaber algebras, deformations, Hochschild…

Algebraic Geometry · Mathematics 2007-05-23 Victor Ginzburg

In this tutorial I intend to present some of the results I obtained through my PhD work in the "quantum optics group of the University of Isfahan" under consideration Dr. R. Roknizadeh and Prof. S. Twareque Ali as my supervisor and advisor,…

Quantum Physics · Physics 2007-05-23 M. K. Tavassoly

In this article some noncommutative topological objects such as NC mapping cone and NC mapping cylinder are introduced. We will see that these objects are equipped with the NCCW complex structure of [PEDERSEN]. As a generalization we…

Quantum Algebra · Mathematics 2009-07-14 Vida Milani , Ali Asghar Rezaei

In this review we present some of the fundamental mathematical structures which permit to define noncommutative gauge field theories. In particular, we emphasize the theory of noncommutative connections, with the notions of curvatures and…

Mathematical Physics · Physics 2015-06-03 Thierry Masson

Recent work has established a method of constructing non-supersymmetric string models that are stable, with near-vanishing one-loop dilaton tadpoles and cosmological constants. This opens up the tantalizing possibility of realizing stable…

High Energy Physics - Phenomenology · Physics 2018-07-04 Steven Abel , Keith R. Dienes , Eirini Mavroudi

I review the recent theoretical progress towards the computation of jet observables at two loops in QCD.

High Energy Physics - Phenomenology · Physics 2015-06-25 T. Gehrmann

In this thesis noncommutative gauge theory is extended beyond the canonical case, i.e. to structures where the commutator no longer is a constant. In the first part noncommutative spaces created by star-products are studied. We are able to…

High Energy Physics - Theory · Physics 2007-05-23 Wolfgang Behr

Nonadiabatic holonomic quantum computation (NHQC) has been developed to shorten the construction times of geometric quantum gates. However, previous NHQC gates require the driving Hamiltonian to satisfy a set of rather restrictive…

Quantum Physics · Physics 2019-09-11 Bao-Jie Liu , Xue-Ke Song , Zheng-Yuan Xue , Xin Wang , Man-Hong Yung

Recent progress in hadron structure calculations within lattice QCD is reviewed. Results on key observables such as the axial charge, the quark momentum fraction and the spin content of the nucleon are discussed with focus on open issues.…

High Energy Physics - Lattice · Physics 2015-06-03 Constantia Alexandrou

We review some applications of noncommutative geometry to the study of transverse geometry of Riemannian foliations and discuss open problems.

Differential Geometry · Mathematics 2007-05-23 Yuri Kordyukov

This article summarizes several analyses I discussed at Moriond and I attempt to maintain my speaking voice throughout. I extract several broad themes in the recent development of QCD,and emphasize how the latest results on jet physics…

High Energy Physics - Experiment · Physics 2019-08-14 John Krane

This is a brief review of recent activities in the field of current noise intended for newcomers. We first briefly discuss main properties of shot noise in nanostructures, and then turn to recent developments, concentrating on issues…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Ya. M. Blanter

Main properties of noncommutative (NC) gauge theory are investigated in a $2-$dimensional twisted Moyal plane, generated by vector fields $X_{a}=e_{a}^{\mu}(x)\partial_{\mu};$ the dynamical effects are induced by a non trivial tensor…

Mathematical Physics · Physics 2014-06-12 Mahouton Norbert Hounkonnou , Dine Ousmane Samary

Carbon nanotubes (CNT) have been recently proposed as stabilizers against grain growth that can happen even at low temperature inputs in nano-crystalline and ultrafine-grained materials obtained by severe plastic deformation. In this study,…

I survey theoretical advances in our understanding of the quantum phases and phase transitions of Mott insulators, and of allied conducting systems obtained by doping charge carriers. A number of new experimental examples of Mott insulators…

Strongly Correlated Electrons · Physics 2009-04-23 Subir Sachdev

The present communication highlights that ac conductivity measurement of the multi-walled carbon nanotubes (MWNTs)-polymer composites is a very promising characterizing tool for qualifying any crude MWNT-sample synthesized by electric arc.…

Materials Science · Physics 2007-09-26 Soumen Karmakar , Harshada Nagar , J P Jog , S V Bhoraskar , A K Das

These notes derive a number of technical results on nonlinear contraction theory, a comparatively recent tool for system stability analysis. In particular, they provide new results on the preservation of contraction through system…

Adaptation and Self-Organizing Systems · Physics 2007-05-23 Nicolas Tabareau , Jean-Jacques Slotine