Time-dependent symplectic integrators and time-ordering contributions

M. Quattromini

Research output: Contribution to journalArticle

Abstract

It is shown that finite-difference schemes for integrating time-dependent, evolution-like differential equations can be implemented at any order of accuracy by means of Magnus-Fer time-ordering expansion. In the case of Liouville-type equations the approach described yields an approximant of the evolution operator which is symplectic at any order in time.
Original languageEnglish
Pages (from-to)415 - 419
Number of pages5
JournalLa Rivista del Nuovo Cimento
Volume112
Issue number5
DOIs
Publication statusPublished - 1999
Externally publishedYes

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All Science Journal Classification (ASJC) codes

  • Atomic and Molecular Physics, and Optics
  • Nuclear and High Energy Physics
  • Astronomy and Astrophysics

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