Han-Ying Guo

Learn More
Some problems on variations are raised for classical discrete mechanics and field theory and the difference variational approach with variable step-length is proposed motivated by Lee’s approach to discrete mechanics and the difference discrete variational principle for difference discrete mechanics and field theory on regular lattice. Based upon Hamilton’s(More)
In the literature, a uniformly accelerated reference frame is defined as a set of observers who remain at rest with respect to a given observer Alice who is accelerating at a constant rate with respect to the instantaneously comoving inertial frames. Two observers Alice and Bob are said to be at rest with respect to each other if the time elapses on the(More)
We propose the difference discrete variational principle in discrete mechanics and symplectic algorithm with variable step-length of time in finite duration based upon a noncommutative differential calculus established in this paper. This approach keeps both symplicticity and energy conservation discretely. We show that there exists the discrete version of(More)
The Noether current and its variation relation with respect to diffeomorphism invariance of gravitational theories have been derived from the horizontal variation and vertical-horizontal bi-variation of the Lagrangian, respectively. For Einstein’s GR in the stationary, axisymmetric black holes, the mass formula in vacuum can be derived from this Noether(More)
Han-Ying Guo, Chao-Guang Huang, Zhan Xu, and Bin Zhou 1 CCAST (World Laboratory), P.O. Box 8730, Beijing 100080, China, 2 Institute of Theoretical Physics, Chinese Academy of Sciences, P.O.Box 2735, Beijing 100080, China, 3 Institute of High Energy Physics, Chinese Academy of Sciences, P.O. Box 918-4, Beijing 100039, China, and 4 Physics Department,(More)
Using the well-known Chern-Weil formula and its generalization, we systematically construct the Chern-Simons forms and their generalization induced by torsion as well as the Nieh-Yan (N-Y) forms. We also give an argument on the vanishing of integration of N-Y form on any compact manifold without boundary. A systematic construction of N-Y forms in D=4n(More)