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

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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.

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References

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Authors and Affiliations

  1. Department of Physics, University of Tokyo, Hongo, Bunkyo-ku, Tokyo, Japan

    Masuo Suzuki

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  1. Masuo Suzuki
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Communicated by H. Araki

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Suzuki, M. Generalized Trotter's formula and systematic approximants of exponential operators and inner derivations with applications to many-body problems. Commun.Math. Phys. 51, 183–190 (1976). https://doi.org/10.1007/BF01609348

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  • DOI: https://doi.org/10.1007/BF01609348

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