Answers are grounded in this paper and cite their sources.
A fast time-evolution method is developed for systems for which the dynamical behavior can be reduced to the eigenvector/eigenvalue problem. The method does not use the eigenvectors/eigenvalues themselves and is based on a polynominal expansion of the formal operator solution in the eigenfrequency domain. It is complementary to the standard time-integration approaches and allows one to calculate or simulate the state of a system at arbitrary times. The time evolution of, e.g., classical harmonic atomic systems and quantum systems described by linear Hamiltonians can be treated by this method.
No takes yet. Share an insight, caveat, or question.
Loh et al. (2000) studied this question.
Synapse has enriched 10 related papers. Consider them for comparative context: