M. V. Karasev, M. V. Mosolova, “Infinite products and $T$ products of exponentials”, TMF, 28:2 (1976), 189–200; Theoret. and Math. Phys., 28:2 (1976), 721

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Teoreticheskaya i Matematicheskaya Fizika, 1976, Volume 28, Number 2, Pages 189–200 (Mi tmf4247)

This article is cited in 14 scientific papers (total in 14 papers)

Infinite products and

T

$T$ products of exponentials

M. V. Karasev, M. V. Mosolova

Full-text PDF (966 kB) Citations (14)

References:

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Abstract: Simple explicit expressions are obtained for the logarithm of a

T

$T$ product and finite and infinite products of exponentials; these generalize the Kampbell–Hausdorff–Baker–Dynkin formula. The proofs do not use series expansions and are based on the general calculus of functions of noncommuting operators. The analog of the Wick formula in an arbitrary Lie algebra is obtained.

Received: 14.11.1975

English version:
Theoretical and Mathematical Physics, 1976, Volume 28, Issue 2, Pages 721–729
DOI: https://doi.org/10.1007/BF01029029

Bibliographic databases:

Language: Russian

Citation: M. V. Karasev, M. V. Mosolova, “Infinite products and

T

$T$ products of exponentials”, TMF, 28:2 (1976), 189–200; Theoret. and Math. Phys., 28:2 (1976), 721–729

Citation in format AMSBIB

\Bibitem{KarMos76}

\by M.~V.~Karasev, M.~V.~Mosolova

\paper Infinite products and $T$~products of exponentials

\jour TMF

\yr 1976

\vol 28

\issue 2

\pages 189--200

\mathnet{http://mi.mathnet.ru/tmf4247}

\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=454691}

\zmath{https://zbmath.org/?q=an:0334.47014}

\transl

\jour Theoret. and Math. Phys.

\yr 1976

\vol 28

\issue 2

\pages 721--729

\crossref{https://doi.org/10.1007/BF01029029}

Linking options:

https://www.mathnet.ru/eng/tmf4247

https://www.mathnet.ru/eng/tmf/v28/i2/p189

This publication is cited in the following 14 articles:

Paavai Pari, Bikash Kanungo, Vikram Gavini, “Exponential time propagators for elastodynamics”, Journal of the Mechanics and Physics of Solids, 2024, 105871
Shaoqian Wang, Roshan Chavan, Jesse B. Hoagg, T. Michael Seigler, 2018 Annual American Control Conference (ACC), 2018, 640
Takashi Ishii, Tomotaka Kuwahara, Takashi Mori, Naomichi Hatano, “Heating in Integrable Time-Periodic Systems”, Phys. Rev. Lett., 120:22 (2018)
Tomotaka Kuwahara, Takashi Mori, Keiji Saito, “Floquet–Magnus theory and generic transient dynamics in periodically driven many-body quantum systems”, Annals of Physics, 367 (2016), 96
Eugène S. Mananga, Thibault Charpentier, “Introduction of the Floquet-Magnus expansion in solid-state nuclear magnetic resonance spectroscopy”, The Journal of Chemical Physics, 135:4 (2011)
S. Blanes, F. Casas, J.A. Oteo, J. Ros, “The Magnus expansion and some of its applications”, Physics Reports, 470:5-6 (2009), 151
Per Christian Moan, Jitse Niesen, “Convergence of the Magnus Series”, Found Comput Math, 8:3 (2008), 291
Fernando Casas, “Sufficient conditions for the convergence of the Magnus expansion”, J. Phys. A: Math. Theor., 40:50 (2007), 15001
Hiroto Kobayashi, Naomichi Hatanoau>, Masuo Suzuki, “Goldberg's theorem and the Baker–Campbell–Hausdorff formula”, Physica A: Statistical Mechanics and its Applications, 250:1-4 (1998), 535
Methods of Noncommutative Analysis, 1996, 357
N.E. Leonard, P.S. Krishnaprasad, “Motion control of drift-free, left-invariant systems on Lie groups”, IEEE Trans. Automat. Contr., 40:9 (1995), 1539
A. T. Fomenko, R. V. Chakon, “Recursion relations for homogeneous terms of a convergent series of the logarithm of a multiplicative integral on Lie groups”, Funct. Anal. Appl., 24:1 (1990), 41–49
A. A. Agrachev, R. V. Gamkrelidze, “The exponential representation of flows and the chronological calculus”, Math. USSR-Sb., 35:6 (1979), 727–785
V. P. Maslov, A. M. Chebotarev, “Jump-type processes and their applications in quantum mechanics”, J. Soviet Math., 13:3 (1980), 315–358

Citing articles in Google Scholar: Russian citations, English citations
Related articles in Google Scholar: Russian articles, English articles

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