共查询到20条相似文献,搜索用时 531 毫秒
1.
I. Naeem 《Journal of Mathematical Analysis and Applications》2008,342(1):70-82
We obtain Noether and partial Noether operators corresponding to a Lagrangian and a partial Lagrangian for a system of two linear second-order ordinary differential equations (ODEs) with variable coefficients. The canonical form for a system of two second-order ordinary differential equations is invoked and a special case of this system is studied for both Noether and partial Noether operators. Then the first integrals with respect to Noether and partial Noether operators are obtained for the linear system under consideration. We show that the first integrals for both the Noether and partial Noether operators are the same. This can give rise to further studies on systems from a partial Lagrangian viewpoint as systems in general do not admit Lagrangians. 相似文献
2.
3.
A quantum anomaly is the breaking of symmetry with respect to some transformations after the quantization of a classical Hamiltonian or Lagrangian system. It is shown that both the Noether theorems (including their infinite-dimensional versions) and the explanation of the origin of quantum anomalies can be obtained by using similar formulas for derivatives of functions whose values are measure in the former case and pseudomeasures in the latter. 相似文献
4.
Linda Becerra 《Algebra Universalis》1987,24(1-2):50-59
A Noether lattice satisfying the union condition on primes which is not a domain and in which every nonzero principal element is integrally closed is characterized in terms of its direct summands. It is shown that either: (1) if has no proper nonzero direct summands, then every nonzero principal element of is integrally closed if and only if is a local Noether lattice whose maximal element is principal and has square zero; or (2) if has a proper nonzero direct summand, then every nonzero principal element of is integrally closed if and only if for each minimal direct summandA of, the quotient lattice [0,A] is an integrally closed domain.Presented by R. P. Dilworth. 相似文献
5.
Mara D. Neusel Mü fit Sezer 《Proceedings of the American Mathematical Society》2007,135(8):2347-2354
Let be a faithful representation of a finite group . In this paper we proceed with the study of the image of the associated Noether map In our 2005 paper it has been shown that the Noether map is surjective if is a projective -module. This paper deals with the converse. The converse is in general not true: we illustrate this with an example. However, for -groups (where is the characteristic of the ground field ) as well as for permutation representations of any group the surjectivity of the Noether map implies the projectivity of .
6.
《Applied Mathematics Letters》2005,18(2):163-170
In this letter we examine the interrelation between Noether symmetries, master symmetries and recursion operators for the Toda lattice. The topics include invariants, higher Poisson brackets and the various relations they satisfy. For the case of two degrees of freedom we prove that the Toda lattice is super-integrable. 相似文献
7.
Known results on the generalized Davenport constant relating zero-sum sequences over a finite abelian group are extended for the generalized Noether number relating rings of polynomial invariants of an arbitrary finite group. An improved general upper degree bound for polynomial invariants of a non-cyclic finite group that cut out the zero vector is given. 相似文献
8.
9.
In this paper, we confirm a conjecture of Alcántar by showing that graph subrings always admit standard Noether normalizations.Dedicated to the memory of Professor Victor Neumann Lara. 相似文献
10.
Hao SUN 《Frontiers of Mathematics in China》2011,6(1):155-159
This paper gives a Noether type inequality of a minimal Gorenstein 3-fold of general type whose canonical map is generically
finite. 相似文献
11.
In this article, we show that the curvature of the Noether connection is asymptotic to the Weil–Petersson form.
A. Dhillon and T. Foth supported in part by NSERC. 相似文献
12.
13.
14.
Marta Menghini 《Historia Mathematica》1986,13(4)
This paper contains an analysis of the scientific climate in which the Italian school of algebraic geometry came into being and developed in a direction different from that of the German school, even though both shared a common initial matrix. Reference is made to a number of letters written by Max Noether to Luigi Cremona. 相似文献
15.
We consider nonholonomic systems with linear, time-independent constraints subject to positional conservative active forces.
We identify a distribution on the configuration manifold, that we call the reaction-annihilator distribution ℜ°, the fibers
of which are the annihilators of the set of all values taken by the reaction forces on the fibers of the constraint distribution.
We show that this distribution, which can be effectively computed in specific cases, plays a central role in the study of
first integrals linear in the velocities of this class of nonholonomic systems. In particular we prove that, if the Lagrangian
is invariant under (the lift of) a group action in the configuration manifold, then an infinitesimal generator of this action
has a conserved momentum if and only if it is a section of the distribution ℜ°. Since the fibers of ℜ° contain those of the
constraint distribution, this version of the nonholonomic Noether theorem accounts for more conserved momenta than what was
known so far. Some examples are given.
相似文献
16.
17.
Ewa Cygan 《Bulletin des Sciences Mathématiques》2012,136(4):432-443
A connection between the index of intersection defined in local analytic geometry and the Noether exponent for germs of holomorphic mappings is established. Also a generalization of estimates for the ?ojasiewicz exponent at infinity for polynomial mappings defined on algebraic varieties is commented using local intersection theory methods. 相似文献
18.
研究了含有电磁悬架汽车振动系统的Noether对称性,给出了系统的守恒量,并通过守恒量求得系统的对称性解.以能量形式,建立汽车不同振动形式下的Lagrange(拉格朗日)方程.选取位移坐标为广义坐标,研究了各种振动形式下系统的Noether对称性,并给出相应的Noether恒等式、Killing方程和广义Noether定理.研究系统守恒量,运用存在的守恒量,给出一种新的求解汽车振动系统响应的方法;并应用到具体的车体振动系统计算中,给出了系统在转弯、制动或加速等情况下的位移响应和速度响应曲线. 相似文献
19.