共查询到20条相似文献,搜索用时 15 毫秒
1.
《Journal of Nonlinear Mathematical Physics》2013,20(2):159-166
Novikov super-algebras are related to quadratic conformal super-algebras which correspond to Hamiltonian pairs and play fundamental role in completely integrable systems. In this paper, we focus on quadratic Novikov super-algebras, which are Novikov super-algebras with associative non-degenerate super-symmetric bilinear forms. We show that quadratic Novikov super-algebras are associative and the associated Lie-super algebras of quadratic Novikov super-algebras are 2-step nilpotent. Moreover, we give some properties on quadratic Novikov super-algebras and classify the associated Lie-super algebras of quadratic Novikov super-algebras up to dimension 7. 相似文献
2.
Novikov algebras were introduced in connection with the Poisson brackets of hydrodynamic type and Hamiltonian operators in the formal variational calculus. On the other hand, there can be geometry and Lagrangian mechanics on homogenous spaces related to Novikov algebras. The nondegenerate symmetric bilinear forms on Novikov algebras can be regarded as the pseudometrics, and some additional identities for these forms correspond to some conserved quantities. In particular, there is an important kind of conserved nondegenerate symmetric bilinear forms that correspond to the pseudo-Riemannian connections such that parallel translation preserves the bilinear form on the tangent spaces. Moreover, the fact that the left multiplication operators form a Lie algebra for a Novikov algebra is compatible with such a form. However, we show in this note that there are no such forms on most Novikov algebras in low dimensions. 相似文献
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For the Virasoro algebra, the problems of classifying bounded admissible representations, on the one hand, and finite-length extensions of highest weight modules, on the other hand, are wild: they are as complicated as the problem of classifying a pair of matrices. This follows from results by Martin and Piard and Feigin and Fuchs. 相似文献
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《Journal of Nonlinear Mathematical Physics》2013,20(3):377-400
In the present paper we begin studies on the large time asymptotic behavior for solutions of the Cauchy problem for the Novikov–Veselov equation (an analog of KdV in 2 + 1 dimensions) at positive energy. In addition, we are focused on a family of reflectionless (transparent) potentials parameterized by a function of two variables. In particular, we show that there are no isolated soliton type waves in the large time asymptotics for these solutions in contrast with well-known large time asymptotics for solutions of the KdV equation with reflectionless initial data. 相似文献
5.
Yufeng Zhao Chengming Bai Daoji Meng 《International Journal of Theoretical Physics》2004,43(2):519-528
Novikov algebras were introduced in connection with the Poisson brackets of hydrodynamic type and Hamiltonian operators in the formal variational calculus. A Novikov–Poisson algebra is a Novikov algebra with a compatible commutative associative algebraic structure, which was introduced to construct the tensor product of two Novikov algebras. In this paper, we commence a study of finite-dimensional Novikov–Poisson algebras. We show the commutative associative operation in a Novikov–Poisson algebra is a compatible global deformation of the associated Novikov algebra. We also discuss how to classify Novikov–Poisson algebras. And as an example, we give the classification of 2-dimensional Novikov–Poisson algebras. 相似文献
6.
Minoru Wakimoto 《Nuclear Physics B》1998,530(3):665-682
In this paper we give a new construction of the N = 2 superconformal algebra using currents of the affine superalgebra
and free bosonic fields, and also the N = 4 supercomformal algebra without central charge in terms of currents of
and free bosonic fields. 相似文献
7.
《Journal of Nonlinear Mathematical Physics》2013,20(3):318-329
The infinitesimal deformations of the embedding of the Lie superalgebra of contact vector fields on the supercircle S1|4 into the Poisson superalgebra of symbols of pseudodifferential operators on S1|2 are explicitly calculated. 相似文献
8.
Using q-operator product expansions between U(1) current fields and the corresponding energy-momentum tensors, we furnish the q-analogues of the generalized Heisenberg algebra and the Krichever–Novikov algebra. 相似文献
9.
高精度高分辨率迎风格式应用于不同速度范围内粘性流动 总被引:3,自引:2,他引:3
提出了一种适合于不同速度范围的高精度高分辨率的迎风有限差分格式,并基于此数植模型发展了适应于速度范围极宽的非定常粘性流动通用软件,不仅适用于超音速下捕捉强间断面,跨音速及高亚音速下捕捉弱间断面和滑移面,还可以精确地模拟低速情况下的粘性流动。此软件可分别用于研究内流和外流的流动特性以及预估其粘性损失。 相似文献
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By applying the time-independent unitary transformation, the time-dependent Landau system is transformed into a product of a time-independent Landau system's Hamiltonian and a factor only depending on time, which can be solved exactly. Both the invariant operator and the eigenstate are obtained. In the periodical time-dependent case, the non-adiabatic Berry's phase is also presented. 相似文献
13.
《Journal of Nonlinear Mathematical Physics》2013,20(3):339-354
We consider Lotka–Volterra systems in three dimensions depending on three real parameters. By using elementary algebraic methods we classify the Darboux polynomials (also known as second integrals) for such systems for various values of the parameters, and give the explicit form of the corresponding cofactors. More precisely, we show that a Darboux polynomial of degree greater than one is reducible. In fact, it is a product of linear Darboux polynomials and first integrals. 相似文献
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V.N. Kushnir E.A. Ilyina S.L. Prischepa C. Cirillo C. Attanasio 《Superlattices and Microstructures》2008
Superconducting proximity effect is studied in superconductor/normal metal trilayers. The dependences of the superconducting transition temperature Tc versus Nb thickness in Cu/Nb/Cu systems and versus Cu thickness in Nb/Cu/Nb ones are described by different values of the microscopical parameters. We attribute this difference to the influence of the external surfaces of the Nb/Cu/Nb hybrids on the superconducting properties of the system. 相似文献
16.
二维交错网格的GAUSS型格式 总被引:2,自引:0,他引:2
利用Gauss型求积公式在交错网格的情况下构造了一类不需解Riemann问题的求解二维双曲守恒律的二阶显式Gauss型差分格式,该格式在CFL条件限制下为MmB格式.并将格式推广到二维方程组,进行了数值试验. 相似文献
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报告了在二维原子结构的自洽场计算中,单电子波函数向笛卡尔Gaussian函数展开的基本方法.推导了由s,p和d电子组成的闭壳层和开壳层电子组态的能量表达式,和二维的Hartree-Fock-Roothaan HFR方程,最后给出了二维原子自洽场计算的主要结果精度的讨论. 相似文献
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一、引言 近来,尽管等离子体诊断技术有了很大发展,古老的朗缪尔探针由于结构简单,使用方便且有较好的时间空间分辨,至今仍作为基本诊断工具而广泛使用。但是,简单的朗缪尔探针理论只适用于中等密度(L》r》λD,L是平均自由程,r是探针半径,λD是德拜长度),对于低密度等离子体(r≤λD),朗缪尔探针理论复杂得失去了实用价值。本文将给出两个适合于低密度情况下的简单公式,并介绍一种实验中所用的静电能量分析器。 相似文献