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19 April 2024
 
  » pubmed » pmid11018867

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Fast time-evolution method for dynamical systems
Y L Loh ; S N Taraskin ; S R Elliott ;
Date 13 Mar 2000
Journal Phys Rev Lett, 84 (11), 2290-3
AbstractA 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.
Source PubMed, pmid11018867
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