نتایج جستجو برای: dirac statistic

تعداد نتایج: 38182  

Journal: :IEEE transactions on systems, man, and cybernetics. Part B, Cybernetics : a publication of the IEEE Systems, Man, and Cybernetics Society 2000
Yuan Yan Tang Lihua Yang Jiming Liu

This paper aims at studying the characterization of Dirac-structure edges with wavelet transform, and selecting the suitable wavelet functions to detect them. Three significant characteristics of the local maximum modulus of the wavelet transform with respect to the Dirac-structure edges are presented: (1) slope invariant: the local maximum modulus of the wavelet transform of a Dirac-structure ...

2015
Kyu Won Lee Cheol Eui Lee

We have investigated the effect of electronic topological transition on the electric field-induced band gap in sliding bilayer graphene by using the density functional theory calculations. The electric field-induced band gap was found to be extremely sensitive to the electronic topological transition. At the electronic topological transition induced by layer sliding, four Dirac cones in the Ber...

2002
David H. Adams

the degree of φ : S → SU(N), where S is the 3sphere “at infinity” in R. The topological charge has a fermionic description: by the Index Theorem, Q = index(%∂ ) where %∂ A is the Dirac operator coupled to A. The situation is similar for gauge fields on compact manifolds such as S, T , . . . Consider now a family A of SU(N) gauge fields on the 4-torus T 4 parameterized by y ∈ Y (a smooth paramet...

2008
JINSUNG PARK

Abstract. This paper is companion to our earlier work [8] (see also announcement [7]). Let M be a closed manifold and Y be an embedded hypersurface, such that there is a decomposition of M = M1 ∪M2 into two manifolds with boundary M1 and M2 , with M1 ∩M2 = Y . In [8] we proved the decomposition formula for detζ∆ the ζ-determinant of a Dirac Laplacian ∆ on M . The contributions coming from M1 an...

2008
H. Neuberger

We derive the vector-like four dimensional overlap Dirac operator starting from a five dimensional Dirac action in the presence of a delta-function space-time defect. The effective operator is obtained by first integrating out all the fermionic modes in the fixed gauge background, and then identifying the contribution from the localized modes as the determinant of an operator in one dimension l...

2008

Dirac equation in (1+2) dimensions for quasi-particles in graphene and quantum field theory of their Coulomb interaction. Abstract There is evidence for existance of massless Dirac quasi-particles in graphene, which satisfy Dirac equation in (1+2) dimensions near the so called Dirac points which lie at the corners at the graphene's bril-luoin zone. Certain subtle points which are peculiar to od...

2014
Ya Feng Zhijun Wang Chaoyu Chen Youguo Shi Zhuojin Xie Hemian Yi Aiji Liang Shaolong He Junfeng He Yingying Peng Xu Liu Yan Liu Lin Zhao Guodong Liu Xiaoli Dong Jun Zhang Chuangtian Chen Zuyan Xu Xi Dai Zhong Fang X. J. Zhou

The Dirac materials, such as graphene and three-dimensional topological insulators, have attracted much attention because they exhibit novel quantum phenomena with their low energy electrons governed by the relativistic Dirac equations. One particular interest is to generate Dirac cone anisotropy so that the electrons can propagate differently from one direction to the other, creating an additi...

Journal: :Communications in Statistics - Theory and Methods 1997

Journal: :The Annals of Mathematical Statistics 1961

Journal: :Journal of Mathematical Sciences 2005

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