Symmetric decomposition of exponential operators and evolution problems

G. Dattoli, L. Giannessi, M. Quattromini, A. Torre

Research output: Contribution to journalArticle

5 Citations (Scopus)

Abstract

Symplectic integrators are numerical schemes for autonomous Hamiltonian systems that preserve exactly the phase space structure (i.e. Poincaré invariants). Conservation of symplectic structure is connected to fundamental properties of evolution of mechanical systems both in classical realm (Liouville Theorem) as well as in the quantum domain (unitarity of evolution operator). The interest in these methods stems from the fact that they are free from a number of problems affecting other time-proven algorithms. In this paper we prove that symmetric split operator technique (SSOT) can be exploited to obtain naturally symplectic integrators of arbitrarily high order with very little programming effort. Examples of application to charged beam transport and quantum optics are given. Copyright © 1998 Elsevier Science B.V. All rights reserved.
Original languageEnglish
Pages (from-to)129 - 142
Number of pages14
JournalPhysica D: Nonlinear Phenomena
Volume111
Issue number1-4
DOIs
Publication statusPublished - 1998
Externally publishedYes

    Fingerprint

All Science Journal Classification (ASJC) codes

  • Statistical and Nonlinear Physics
  • Condensed Matter Physics

Cite this