排序方式: 共有78条查询结果,搜索用时 218 毫秒
1.
José Glaüco Ribeiro Tostes 《Theoretical chemistry accounts》1981,59(3):229-235
Certain features of the chemist's molecular structure model, viz. size and shape, are retrieved even in the best non-adiabatic variational calculations thus far carried out for ground states of H
2
+
and H2. Those features do not conflict with the full symmetry of exact molecular eigenstates, once they are properly understood as correlation effects. 相似文献
2.
3.
Chern–Simons (CS) gauge theories in three dimensions and the Poisson sigma model (PSM) in two dimensions are examples of the same theory, if their field equations are interpreted as morphisms of Lie algebroids and their symmetries (on-shell) as homotopies of such morphisms. We point out that the (off-shell) gauge symmetries of the PSM in the literature are not globally well defined for non-parallelizable Poisson manifolds and propose a covariant definition of the off-shell gauge symmetries as left action of some finite-dimensional Lie algebroid.
Our approach allows us to avoid complications arising in the infinite-dimensional super-geometry of the BV- and AKSZ-formalism. This preprint is a starting point in a series of papers meant to introduce Yang–Mills type gauge theories of Lie algebroids, which include the standard YM theory, gerbes, and the PSM. 相似文献
4.
Symmetries of linear iterative equations and new conditions on the infinitesimals are obtained. Regarding the expressions of the solutions in terms of the parameters of the source equation, an ansatz is made on the original parameters. We have also obtained an expression for the source parameters of the transformed equation under equivalence transformations. We conducted this work with a special emphasis on second-, third- and fourth-order equations, although some of our results are valid for equations of a general order. 相似文献
5.
《Communications in Nonlinear Science & Numerical Simulation》2014,19(2):328-336
It is shown that the Noether theorem can be extended for some equations associated (accompanying) with Euler–Lagrange equation. Each symmetry of Lagrangian yields a class of accompanying equations possessing conservation law (first integral).The generalization is done for canonical Hamiltonian equations as well. 相似文献
6.
A.G. Nikitin 《Journal of Mathematical Analysis and Applications》2007,332(1):666-690
Group classification of systems of two coupled non-linear reaction-diffusion equation with a diagonal diffusion matrix is carried out. Symmetries of diffusion systems with singular diffusion matrix and additional first order derivative terms are described. 相似文献
7.
研究非齐次Toda晶格,即一类非齐次非线性微分差分方程的对称与可积性。给出了这一类方程的Lie点对称,条件对称和精确解。给出这类方程与Toda晶格之间的可逆点变换,从而表明这一类方程是可积的。 相似文献
8.
Noureddine Mehidi 《Meccanica》2007,42(4):403-407
We first approximate the solutions of the nonautonomous oscillating suspension point pendulum equation by the solutions of
a second order autonomous differential equation. Using the strict monotonicity of the periodic solutions of the approximating
equation, we prove the existence of a large number of subharmonic periodic solutions of the plane pendulum when its point
of suspension is excited parametrically. 相似文献
9.
In this paper the complete Lie group classification of a non-linear wave equation is obtained. Optimal systems and reduced equations are achieved in the case of a hyperelastic homogeneous bar with variable cross section. 相似文献
10.
We reconsider the discrete dual of the immediate exchange model and define a more general class of models where mass is split, exchanged and merged. We relate the splitting process to the symmetric inclusion process via thermalization and from that obtain symmetries and self-duality for it and its generalization. We show that analogous properties hold for models where the splitting is related to the symmetric exclusion process or to independent random walkers. 相似文献