ZHONG Wan-xie, GAO Qiang. Symplectic Group of the Transfer Matrix Converges to the Symplectic Lie Group[J]. Applied Mathematics and Mechanics, 2013, 34(6): 547-551. doi: 10.3879/j.issn.1000-0887.2013.06.001
Citation: ZHONG Wan-xie, GAO Qiang. Symplectic Group of the Transfer Matrix Converges to the Symplectic Lie Group[J]. Applied Mathematics and Mechanics, 2013, 34(6): 547-551. doi: 10.3879/j.issn.1000-0887.2013.06.001

Symplectic Group of the Transfer Matrix Converges to the Symplectic Lie Group

doi: 10.3879/j.issn.1000-0887.2013.06.001
  • Received Date: 2013-04-24
  • Rev Recd Date: 2013-05-09
  • Publish Date: 2013-06-15
  • By using action variational principle, the transfer symplectic matrix for the discrete integral of the Hamiltonian canonical equation was given. Then the Lie algebra corresponding to the Hamiltonian canonical equation was given. When the time step tends to zero, that the symplectic group of the transfer matrix for discrete integrator converges to the symplectic Lie group of the continuoustime differential equation of the Hamiltonian system was proved.
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