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Communications in Mathematical Physics

, Volume 51, Issue 2, pp 183–190 | Cite as

Generalized Trotter's formula and systematic approximants of exponential operators and inner derivations with applications to many-body problems

  • Masuo Suzuki
Article

Abstract

New systematic approximants are proposed for exponential functions, operators and inner derivation δ H . Remainders of systematic approximants are evaluated explicitly, which give degrees of convergence of approximants. The first approximant corresponds to Trotter's formula [1]: exp(A+B)=\(\mathop {\lim }\limits_{n \to \infty } \) [exp(A/n) exp(B/n)] n . Some applications to physics are also discussed.

Keywords

Neural Network Statistical Physic Complex System Nonlinear Dynamics Exponential Function 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer-Verlag 1976

Authors and Affiliations

  • Masuo Suzuki
    • 1
  1. 1.Department of PhysicsUniversity of TokyoTokyoJapan

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