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Bessel型光晶格中自旋-轨道耦合极化激元凝聚的稳态结构
极化激元凝聚 Bessel光晶格 孤立子 稳态
2022/3/31
Bessel型光晶格是一种非空间周期性的柱对称的光晶格势场，其兼具无限深势阱和环状势阱的特征，在0阶Bessel光晶格势场中央形成深势阱，而在非0阶Beseel光晶格势场中能形成具有中央势垒的环状浅势阱。极化激元是一种半光半物质的准粒子，该准粒子甚至可以在室温条件下发生玻色-爱因斯坦凝聚相变，形成极化激元凝聚。另外，通过极化激元能级的腔诱导TE-TM分裂能在极化激元凝聚中实现足够强的自旋-轨道耦合...
约化群的 Bessel F-等晶体
约化群 Bessel F-等晶体 Langlands纲领 函子性猜想
2023/1/5
Langlands纲领是基础数学研究中的重大难题，它联系了数论、表示论、代数几何等多个领域。函子性猜想是Langlands纲领的中心问题，该猜想描述了不同代数群的自守表示之间深刻的联系，蕴含了深刻的数论信息。
Langlands纲领是基础数学研究中的重大难题，它联系了数论、表示论、代数几何等多个领域。函子性猜想是Langlands纲领的中心问题，该猜想描述了不同代数群的自守表示之间深刻的联系，蕴含了深刻的数论信息。 研究团队证明了Heinloth-吴宝珠-恽之玮关于约化群Kloosterman层的函子性猜想，并采用 p 进方法计算了Kloosterman层的单值群及其 Newton 多边形。这项工作的创...
复旦大学数学物理方法课件第十三章 柱坐标下的分离变量法Bessel函数。
小变量情况下第一类整数阶Bessel函数的计算
Bessel函数 Taylor级数展开 指数扩展
2016/12/24
在计算第一类整数阶Bessel函数时，后向递推算法稳定高效.然而，起始点的选取必须有足够高的阶数，并且需要进行归一化处理.本文对Taylor级数展开算法进行研究，并对其级数展开规律、计算精度，以及求和项与参数间的关系进行了讨论.此外，本文利用指数形式，极大扩展了该算法的可计算范围.与du Toit算法、MATLAB和Mathematica应用软件的计算结果比较显示，本文的算法具有较高的准确性和稳定...
Differential subordination and superordination results for an operator associated with the generalized bessel functions
Generalized Bessel functions univalent functions Hadamard product subordination superordination
2012/4/23
We obtain many subordination and superordination results, using a new operator Bc ?f by means of the normalized form of the generalized Bessel functions of ?rst kind, which is defined as z [B^c_(\kapp...
Characterization of uniformly convex and smooth Banach spaces by using Carleson measures in Bessel settings
BMO Bessel operators Carleson measures uniformly convex uniformly smooth Banach spaces
2011/9/22
Abstract: In this paper we obtain new characterizations of the q-uniformly convex and smooth Banach spaces by using Carleson measures. These measures are defined by Poisson integral associated with Be...
Some asymptotics for the Bessel functions with an explicit error term
Bessel function Airy function asymptotic error term zeros
2011/9/1
Abstract: We show how one can obtain an asymptotic expression for some special functions satisfying a second order differential equation with a very explicit error term starting from appropriate upper...
Markov property of determinantal processes with extended sine, Airy, and Bessel kernels
Determinantal processes Correlation kernels Random matrix theory Infinite particle systems Markov property Entire function and topology
2011/7/7
When the number of particles is finite, the noncolliding Brownian motion (the Dyson model) and the noncolliding squared Bessel process are determinantal diffusion processes for any deterministic initi...
Markov property of determinantal processes with extended sine, Airy, and Bessel kernels
Determinantal processes Correlation kernels Random matrix theory Infinite particle systems Markov property
2011/7/28
Abstract: When the number of particles is finite, the noncolliding Brownian motion (the Dyson model) and the noncolliding squared Bessel process are determinantal diffusion processes for any determini...
Banach空间中p阶Bessel列的扰动
扰动 p阶Bessel列 Banach空间
2012/11/13
应用算子论方法研究Banach空间X中p(1Bessel列的扰动问题, 对X中的任一p阶Bessel列f={fi}i∈I, 定义了有界线性算子Tf: X*→lp, 建立了从全体p阶Bessel列组成的Banach空间BpX(I)到算子空间B(X*,lp)上的等距线性同构α: f→Tf, 并给出了p阶Bessel列的扰动定理。
Calderón-Zygmund operators in the Bessel setting
Bessel operator Bessel semigroup maximal operator square function
2011/2/28
We study several fundamental operators in harmonic analysis related to Bessel operators, including maximal operators related to heat and Poisson semigroups, Littlewood-Paley-Stein square functions, mu...
Spectral Invariance of Besov-Bessel Subalgebras
Banach algebra matrix algebra Besov spaces Bessel potential spaces
2011/2/21
Using principles of the theory of smoothness spaces we give systematic constructions of scales of inverse-closed subalgebras of a given Banach algebra with the action of a d-parameter automorphism gro...
Analytical Evaluation Of An Infinite Integral Over Four Spherical Bessel Functions
Analytical Evaluation Infinite Integral Four Spherical Bessel Functions
2011/3/1
Infinite integrals over spherical Bessel functions have always been of interest due to their occurence in nuclear physics [1-10], particle physics [11] and astrophysics [12-13],to mention a few.
The nonlinear product of the Bessel Laplace operator and the Bessel Helmholtz operator
Bessel Laplace operator Bessel Helmholtz operator
2010/9/25
It is found that the existence of the solution u(x) of such equation depending on the condition of f and k−1 B (B+m2)ku(x). Moreover such solution u(x) related to the nonhomogeneous Bessel bih...