Physics – Mathematical Physics
Scientific paper
2004-08-02
Physics
Mathematical Physics
Submitted to Phys. Lett. A, Six Pages two Columns
Scientific paper
10.1016/j.physleta.2005.05.062
The evolution of any factorized time-reversible symplectic integrators, when applied to the harmonic oscillator, can be exactly solved in a closed form. The resulting modified Hamiltonians demonstrate the convergence of the Lie series expansions. They are also less distorted than modified Hamiltonian of non-reversible algorithms. The analytical form for the modified angular frequency can be used to assess the phase error of any time-reversible algorithm.
Chin Siu A.
Scuro Sante R.
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