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


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.


Neural Network Statistical Physic Complex System Nonlinear Dynamics Exponential Function 
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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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