Baker–Campbell–Hausdorff formula (English Wikipedia)

Analysis of information sources in references of the Wikipedia article "Baker–Campbell–Hausdorff formula" in English language version.

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7doi.org

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4harvard.edu

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archive.org

Greiner & Reinhardt 1996 See pp 27-29 for a detailed proof of the above lemma. Greiner, W.; Reinhardt, J. (1996), Field Quantization, Springer Publishing, ISBN 978-3-540-59179-5

arxiv.org

Biagi, Stefano; Bonfiglioli, Andrea; Matone, Marco (2018). "On the Baker-Campbell-Hausdorff Theorem: non-convergence and prolongation issues". Linear and Multilinear Algebra. 68 (7): 1310–1328. arXiv:1805.10089. doi:10.1080/03081087.2018.1540534. ISSN 0308-1087. S2CID 53585331.
Casas, F.; Murua, A.; Nadinic, M. (2012). "Efficient computation of the Zassenhaus formula". Computer Physics Communications. 183 (11): 2386–2391. arXiv:1204.0389. Bibcode:2012CoPhC.183.2386C. doi:10.1016/j.cpc.2012.06.006. S2CID 2704520.

digizeitschriften.de

F. Schur (1890), "Neue Begründung der Theorie der endlichen Transformationsgruppen," Mathematische Annalen, 35 (1890), 161–197. online copy

doi.org

Achilles & Bonfiglioli 2012 Achilles, Rüdiger; Bonfiglioli, Andrea (May 2012). "The early proofs of the theorem of Campbell, Baker, Hausdorff, and Dynkin". Archive for History of Exact Sciences. 66 (3): 295–358. doi:10.1007/s00407-012-0095-8. S2CID 120032172.
Eichler, Martin (1968). "A new proof of the Baker-Campbell-Hausdorff formula". Journal of the Mathematical Society of Japan. 20 (1–2): 23–25. doi:10.2969/jmsj/02010023.
Magnus, Wilhelm (1954). "On the exponential solution of differential equations for a linear operator". Communications on Pure and Applied Mathematics. 7 (4): 649–673. doi:10.1002/cpa.3160070404.
Suzuki, Masuo (1985). "Decomposition formulas of exponential operators and Lie exponentials with some applications to quantum mechanics and statistical physics". Journal of Mathematical Physics. 26 (4): 601–612. Bibcode:1985JMP....26..601S. doi:10.1063/1.526596.; Veltman, M, 't Hooft, G & de Wit, B (2007), Appendix D.
Wei, James (October 1963). "Note on the Global Validity of the Baker-Hausdorff and Magnus Theorems". Journal of Mathematical Physics. 4 (10): 1337–1341. Bibcode:1963JMP.....4.1337W. doi:10.1063/1.1703910.
Biagi, Stefano; Bonfiglioli, Andrea; Matone, Marco (2018). "On the Baker-Campbell-Hausdorff Theorem: non-convergence and prolongation issues". Linear and Multilinear Algebra. 68 (7): 1310–1328. arXiv:1805.10089. doi:10.1080/03081087.2018.1540534. ISSN 0308-1087. S2CID 53585331.
Casas, F.; Murua, A.; Nadinic, M. (2012). "Efficient computation of the Zassenhaus formula". Computer Physics Communications. 183 (11): 2386–2391. arXiv:1204.0389. Bibcode:2012CoPhC.183.2386C. doi:10.1016/j.cpc.2012.06.006. S2CID 2704520.

harvard.edu

ui.adsabs.harvard.edu

Suzuki, Masuo (1985). "Decomposition formulas of exponential operators and Lie exponentials with some applications to quantum mechanics and statistical physics". Journal of Mathematical Physics. 26 (4): 601–612. Bibcode:1985JMP....26..601S. doi:10.1063/1.526596.; Veltman, M, 't Hooft, G & de Wit, B (2007), Appendix D.
Wei, James (October 1963). "Note on the Global Validity of the Baker-Hausdorff and Magnus Theorems". Journal of Mathematical Physics. 4 (10): 1337–1341. Bibcode:1963JMP.....4.1337W. doi:10.1063/1.1703910.
Casas, F.; Murua, A.; Nadinic, M. (2012). "Efficient computation of the Zassenhaus formula". Computer Physics Communications. 183 (11): 2386–2391. arXiv:1204.0389. Bibcode:2012CoPhC.183.2386C. doi:10.1016/j.cpc.2012.06.006. S2CID 2704520.

math.harvard.edu

see, e.g., Shlomo Sternberg, Lie Algebras (2004) Harvard University. (cf p 10.)

projecteuclid.org

Eichler, Martin (1968). "A new proof of the Baker-Campbell-Hausdorff formula". Journal of the Mathematical Society of Japan. 20 (1–2): 23–25. doi:10.2969/jmsj/02010023.

semanticscholar.org

api.semanticscholar.org

Achilles & Bonfiglioli 2012 Achilles, Rüdiger; Bonfiglioli, Andrea (May 2012). "The early proofs of the theorem of Campbell, Baker, Hausdorff, and Dynkin". Archive for History of Exact Sciences. 66 (3): 295–358. doi:10.1007/s00407-012-0095-8. S2CID 120032172.
Biagi, Stefano; Bonfiglioli, Andrea; Matone, Marco (2018). "On the Baker-Campbell-Hausdorff Theorem: non-convergence and prolongation issues". Linear and Multilinear Algebra. 68 (7): 1310–1328. arXiv:1805.10089. doi:10.1080/03081087.2018.1540534. ISSN 0308-1087. S2CID 53585331.
Casas, F.; Murua, A.; Nadinic, M. (2012). "Efficient computation of the Zassenhaus formula". Computer Physics Communications. 183 (11): 2386–2391. arXiv:1204.0389. Bibcode:2012CoPhC.183.2386C. doi:10.1016/j.cpc.2012.06.006. S2CID 2704520.

univ-lorraine.fr

henripoincarepapers.univ-lorraine.fr

Henri Poincaré, Comptes rendus de l'Académie des Sciences 128 (1899) 1065–1069; Transactions of the Cambridge Philosophical Society 18 (1899) 220–255. online

worldcat.org

search.worldcat.org

Biagi, Stefano; Bonfiglioli, Andrea; Matone, Marco (2018). "On the Baker-Campbell-Hausdorff Theorem: non-convergence and prolongation issues". Linear and Multilinear Algebra. 68 (7): 1310–1328. arXiv:1805.10089. doi:10.1080/03081087.2018.1540534. ISSN 0308-1087. S2CID 53585331.