Abstract
The convergence of the Zassenhaus formula is proven under an appropriate condition as well as for other exponential operators such as the Baker-Campbell-Hausdorff formula.
Similar content being viewed by others
References
Suzuki, M.: Commun. math. Phys.51, 183 (1976)
Magnus, W.: Commun. Pure Appl. Math.7, 649 (1954)
Wilcox, R. M.: J. Math. Phys.8, 962 (1967)
Trotter, H. F.: Proc. Am. Math. Soc.10, 545 (1959); see also references cited in [I]
Suzuki, M.: Progr. Theoret. Phys.56, 1454 (1976)
Suzuki, M., Miyashita, S., Kuroda, A., Kawabata, C.: Phys. Lett.60A, 478 (1977)
Suzuki, M., Miyashita, S., Kuroda, A.: Progr. Theoret. Phys. (submitted)
Rogiers, J., Dekeyser, R.: Phys. Rev. B13, 4886 (1976)
Rogiers, J., Betts, D. D.: Physica85 A, 553 (1976)
Brower, R. C., Kuttner, F., Nauenberg, M., Subbarao, K.: Preprint
Honda, N.: Private communication
Weiss, G. H., Maradudin, A. A.: J. Math. Phys.3, 771 (1962)
Richtmyer, R. D., Greenspan, S.: Commun. Pure Appl. Math.18, 107 (1965)
Author information
Authors and Affiliations
Additional information
Communicated by H. Araki
On leave of absence from Department of Physics, Faculty of Science, The University of Tokyo, Hongo, Bunkyo-ku, Tokyo, Japan
Rights and permissions
About this article
Cite this article
Suzuki, M. On the convergence of exponential operators—the Zassenhaus formula, BCH formula and systematic approximants. Commun.Math. Phys. 57, 193–200 (1977). https://doi.org/10.1007/BF01614161
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF01614161