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Higher-Order Decomposition Theory of Exponential Operators and Its Applications to QMC and Nonlinear Dynamics

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Computer Simulation Studies in Condensed-Matter Physics VI

Part of the book series: Springer Proceedings in Physics ((SPPHY,volume 76))

Abstract

A general theory of higher-order decomposition of exponential operators and symplectic integrators is reviewed briefly. Some explicit formulas are given up to the tenth order. An application of these higher-order decompositions to Hamiltonian dynamics is also presented to confirm their usefulness.

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Author information

Authors and Affiliations

  1. Department of Physics, Faculty of Science, University of Tokyo, Hongo 7-3-1, Bunkyo-ku, Tokyo 113, Japan

    M. Suzuki & K. Umeno

Authors
  1. M. Suzuki
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  2. K. Umeno
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Editor information

Editors and Affiliations

  1. Center for Simulation Physics, The University of Georgia, 30602, Athens, GA, USA

    David P. Landau Ph. D. , K. K. Mon Ph. D.  & Heinz-Bernd Schüttler Ph. D. ,  & 

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© 1993 Springer-Verlag Berlin Heidelberg

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Suzuki, M., Umeno, K. (1993). Higher-Order Decomposition Theory of Exponential Operators and Its Applications to QMC and Nonlinear Dynamics. In: Landau, D.P., Mon, K.K., Schüttler, HB. (eds) Computer Simulation Studies in Condensed-Matter Physics VI. Springer Proceedings in Physics, vol 76. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-78448-4_7

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  • DOI: https://doi.org/10.1007/978-3-642-78448-4_7

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-78450-7

  • Online ISBN: 978-3-642-78448-4

  • eBook Packages: Springer Book Archive

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