Results 41 to 50 of about 405,321 (199)
Quantum cluster algebras and quantum nilpotent algebras [PDF]
Proceedings of the National Academy of Sciences of the United States of America, 2013 Significance Cluster algebras are used to study in a unified fashion phenomena from many areas of mathematics. In this paper, we present a new approach to cluster algebras based on noncommutative ring theory.
K. Goodearl, M. Yakimov
semanticscholar +1 more source
Analysis of density matrix embedding theory around the non‐interacting limit
Communications on Pure and Applied Mathematics, EarlyView.Abstract This article provides the first mathematical analysis of the Density Matrix Embedding Theory (DMET) method. We prove that, under certain assumptions, (i) the exact ground‐state density matrix is a fixed‐point of the DMET map for non‐interacting systems, (ii) there exists a unique physical solution in the weakly‐interacting regime, and (iii ...
Eric Cancès +4 more
wiley +1 more source
Classification of five-dimensional nilpotent Jordan algebras [PDF]
Linear Algebra and Its Applications (2016), pp. 165-218, 2014 The paper is devoted to classify nilpotent Jordan algebras of dimension up to five over an algebraically closed field of characteristic not 2. We obtained a list of 35 isolated non-isomorphic 5-dimensional nilpotent non-associative Jordan algebras and 6 families of non-isomorphic 5-dimensional nilpotent non-associative Jordan algebras depending either ...
arxiv +1 more source
Communications on Pure and Applied Mathematics, EarlyView.Abstract We analyse and clarify the finite‐size scaling of the weakly‐coupled hierarchical n$n$‐component |φ|4$|\varphi |^4$ model for all integers n≥1$n \ge 1$ in all dimensions d≥4$d\ge 4$, for both free and periodic boundary conditions. For d>4$d>4$, we prove that for a volume of size Rd$R^{d}$ with periodic boundary conditions the infinite‐volume ...
Emmanuel Michta +2 more
wiley +1 more source
On the Density–Density Correlations of the Non‐Interacting Finite Temperature Electron Gas
Contributions to Plasma Physics, EarlyView.ABSTRACT The density–density correlations of the non‐interacting finite temperature electron gas are discussed in detail. Starting from the ideal linear density response function and utilizing general relations from linear response theory, known and novel expressions are derived for the pair correlation function, static structure factor, dynamic ...
Panagiotis Tolias +2 more
wiley +1 more source
, 2017 Geometric Algebra (GA) is a mathematical language that aids a unified approach and understanding in topics across mathematics, physics and engineering. In this contribution, we introduce the Spacetime Algebra (STA), and discuss some of its applications ...
A. Lasenby
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Gelfand spectra in Grothendieck toposes using geometric mathematics [PDF]
QPL, 2013 In the (covariant) topos approach to quantum theory by Heunen, Landsman and Spitters, one associates to each unital C*-algebra, A, a topos T(A) of sheaves on a locale and a commutative C*-algebra, a, within that topos.
Bas Spitters, S. Vickers, Sander Wolters
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Classification of extended Clifford algebras [PDF]
Russian Math. (Iz. VUZ), 62:11 (2018), 23-27, 2016 Considering tensor products of special commutative algebras and general real Clifford algebras, we arrive at extended Clifford algebras. We have found that there are five types of extended Clifford algebras. The class of extended Clifford algebras is closed with respect to the tensor product.
arxiv +1 more source
Reflections on the Spatial Exponential Growth of Electromagnetic Quasinormal Modes
Laser &Photonics Reviews, EarlyView.Quasinormal modes (QNMs) offer a robust framework for understanding the physics of resonators. However, conceptual challenges arise in regions distant from resonators, where QNM fields exponentially grow. This growth is not unphysical, but gives rise to counterintuitive effects, which is explained by examining fundamentals of non‐Hermitian systems ...
Tong Wu +2 more
wiley +1 more source
Process, Distinction, Groupoids and Clifford Algebras: an Alternative View of the Quantum Formalism [PDF]
, 2012 In this paper we start from a basic notion of process, which we structure into two groupoids, one orthogonal and one symplectic. By introducing additional structure, we convert these groupoids into orthogonal and symplectic Clifford algebras respectively.
B. Hiley
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