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Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Introduction to Bourguignon-Gauduchon's variation formula for Dirac operators
Dirac算子 Bourguignon-Gauduchon 变分公式
2023/11/13
我们将介绍由Bar-Gauduchon-Moroianu给出的spin流形上Dirac算子在度量变化时一阶变分公式的证明。作为应用，我们将计算Dirac算子沿Ricci flow的一阶变分。
非自伴Dirac算子的椭圆有限带位势
非自伴 Dirac算子 椭圆 有限带位势
2023/12/13
We present an explicit two-parameter family of finite-band Jacobi elliptic potentials given by $q\equiv A\dn(x;m)$, where $m\in(0,1)$ and $A$ can be taken to be positive without loss of generality, fo...
最近，中国科学院物理研究所/北京凝聚态物理国家研究中心凝聚态理论与材料计算实验室研究员胡江平、中国科学院大学卡弗里理论科学研究所教授张富春，以及原物理所研究生吴贤新和勒聪聪合作，在《美国国家科学院院刊》（PNAS）上发表文章预言β-CuI是一种奇特的Dirac半金属，其侧表面态是费米圈而不是费米弧。这种转变的具体物理原因是：由于该体系中特殊的原子排列和强自旋轨道耦合，使得KP微扰模型中的三次项变得...
没有费米弧的拓扑Dirac半金属（图）
拓扑Dirac半金属 凝聚态物理
2018/8/17
拓扑半金属是当前凝聚态物理的研究热点之一，可以分为拓扑Dirac半金属, Weyl半金属和Node-Line半金属三种类型。在Weyl半金属中，体态中存在手性相反的Weyl点，在表面上会出现拓扑保护的费米弧，它们连接手性相反的Weyl点的投影。Dirac半金属中，一个狄拉克点可以看成手性相反的Weyl点，这样在侧表面上，就会出现连接两个Dirac点的费米弧。它们已经在传统的Dirac半金属Na3B...
Pole-Based Approximation of the Fermi-Dirac Function
Contour integral Fermi-Dirac function Rational approximation
2015/7/14
Two approaches for the efficient rational approximation of the Fermi-Dirac function are discussed: one uses the contour integral representation and conformal mapping, and the other is based on a versi...
D-bar and Dirac Type Operators on Classical and Quantum Domains
Dirac Operators Noncommutative Geometry
2015/1/19
I study d-bar and Dirac operators on classical and quantum domains subject to the APS boundary conditions, APS like boundary conditions, and other types of global boundary conditions. Moreover, the in...
Dynamics of the Dirac-Born-Infeld spike soliton
Oscillation the horizon transverse scalar field model system the dynamic degree of freedom
2014/12/22
We compare oscillations of a fundamental string ending on a D3-brane in two different settings: (1) a test string radially threading the horizon of an extremal black D3-brane and (2) the spike s...
A Note on Gluing Dirac Type Operators on a Mirror Quantum Two-Sphere
Gluing Dirac Type Operators Mirror Quantum Two-Sphere
2014/12/12
The goal of this paper is to introduce a class of operators, which we call quantum Dirac type operators on a noncommutative sphere, by a gluing construction from copies of noncommutative disks, subjec...
Stability of solitary waves in the nonlinear Dirac equation with arbitrary nonlinearity
solitary waves nonlinear Dirac equation arbitrary nonlinearity
2014/10/10
We consider the nonlinear Dirac equation in 1+1 dimension with scalar-scalar self interaction g 2κ +1 (ΨΨ)ˉ κ +1 and with mass m. Using the exact analytic form for rest frame solitary waves of the for...
Multi-hump solitary waves of nonlinear Dirac equation
Nonlinear Dirac equation Solitary wave
2014/9/26
This paper concentrates on a (1+1)-dimensional nonlinear Dirac (NLD) equa-tion with a general self-interaction, being a linear combination of the scalar,
pseudoscalar, vector and axial vector self-in...
首先，阐述图论中树被推广为新的树-域表示，其包含树和域2部分，且域是众多小树的集合，其二者可以互相转化，是简单性(树)和复杂性(域)的统一，可以用于分析科学、政治、经济、哲学、历史等各方面的复杂系统.进而推广它到整个图论G=(V,E,F)，域F是小图的集合.其次，探讨物理理论积分形式的统一和Dirac开方法推广到任意项A2=B2+C2+D2+…开方为A=αB+βC+γD+…，其中α2=β2=γ2=...
A'Campo curvature bumps and the Dirac phenomenon near a singular point
Curve-germs Curvature Newton-Puiseux In nitesimals Dirac phenomenon
2012/6/19
The level curves of an analytic function germ almost always have bumps at unexpected points near the singularity. This profound discovery of N. A'Campo is fully explored in this paper for $f(z,w)\in \...
Discrete symmetries of low-dimensional Dirac models: A selective review with a focus on condensed-matter realisations
relativistic quantum physics reduced dimensionality Dirac Hamiltonians quasi-relativity in solids
2012/6/15
The most fundamental characteristics of a physical system can often be deduced from its behaviour under discrete symmetry transformations such as time reversal, parity and chirality. Here we review ba...
A time-splitting spectral scheme for the Maxwell-Dirac system
Maxwell-Dirac system time-splitting spectral method semi-classical asymptotics WKB-expansion
2012/5/24
We present a time-splitting spectral scheme for the Maxwell-Dirac system and similar time-splitting methods for the corresponding asymptotic problems in the semi-classical and the non-relativistic reg...
Two-vortex structure of electron, nonlocality and Dirac equation
Two-vortex structure electron nonlocality Dirac equation
2011/8/11
Abstract: The dimensionless electromagnetic coupling constant $\alpha=e^2 /\hbar c$ may have three interpretations: as the well known ratio between the electron charge radius $e^2/mc^2$ and the Compto...