Chétrite, R.; Patras, F. Algebraic structures underlying quantum independences: theory and applications. (English) Zbl 07802647 Ann. Henri Poincaré 25, No. 1, 253-296 (2024). MSC: 81Pxx 46Lxx 16Txx 17Bxx PDFBibTeX XMLCite \textit{R. Chétrite} and \textit{F. Patras}, Ann. Henri Poincaré 25, No. 1, 253--296 (2024; Zbl 07802647) Full Text: DOI arXiv
Foissy, Loïc; Menous, Frédéric; Novelli, Jean-Christophe; Thibon, Jean-Yves Quadri-algebras, preLie algebras, and the Catalan family of Lie idempotents. (English) Zbl 1507.16039 Algebr. Comb. 5, No. 4, 629-666 (2022). Reviewer: Dmitry Artamonov (Moskva) MSC: 16T30 05E05 17D25 PDFBibTeX XMLCite \textit{L. Foissy} et al., Algebr. Comb. 5, No. 4, 629--666 (2022; Zbl 1507.16039) Full Text: DOI arXiv
Al-Kaabi, Mahdi J. Hasan; Ebrahimi-Fard, Kurusch; Manchon, Dominique Post-Lie Magnus expansion and BCH-recursion. (English) Zbl 1500.16034 SIGMA, Symmetry Integrability Geom. Methods Appl. 18, Paper 023, 16 p. (2022). Reviewer: Laurent Poinsot (Villetaneuse) MSC: 16T05 16T10 16T30 17A30 PDFBibTeX XMLCite \textit{M. J. H. Al-Kaabi} et al., SIGMA, Symmetry Integrability Geom. Methods Appl. 18, Paper 023, 16 p. (2022; Zbl 1500.16034) Full Text: DOI arXiv
Adanmitonde, A. J.; Avossevou, G. Y. H.; Dossa, F. A. Quantization of some generalized Jaynes-Cummings models in a Kerr-like medium. (English. Russian original) Zbl 1445.81075 Theor. Math. Phys. 203, No. 3, 824-836 (2020); translation from Teor. Mat. Fiz. 203, No. 3, 451-466 (2020). MSC: 81V80 78A60 81Q60 17A70 47A56 33C15 81S08 81R05 PDFBibTeX XMLCite \textit{A. J. Adanmitonde} et al., Theor. Math. Phys. 203, No. 3, 824--836 (2020; Zbl 1445.81075); translation from Teor. Mat. Fiz. 203, No. 3, 451--466 (2020) Full Text: DOI
Hoffmann, Scott E.; Hussin, Véronique; Marquette, Ian; Zhang, Yao-Zhong Ladder operators and coherent states for multi-step supersymmetric rational extensions of the truncated oscillator. (English) Zbl 1414.81121 J. Math. Phys. 60, No. 5, 052105, 14 p. (2019). MSC: 81Q60 81Q10 81R30 81R15 81P40 81S30 35R03 17B10 35P05 PDFBibTeX XMLCite \textit{S. E. Hoffmann} et al., J. Math. Phys. 60, No. 5, 052105, 14 p. (2019; Zbl 1414.81121) Full Text: DOI arXiv
Zelaya, Kevin; Rosas-Ortiz, Oscar; Blanco-Garcia, Zurika; Cruz y Cruz, Sara Completeness and nonclassicality of coherent states for generalized oscillator algebras. (English) Zbl 1400.81125 Adv. Math. Phys. 2017, Article ID 7168592, 15 p. (2017). MSC: 81R30 46F10 17B81 81V80 PDFBibTeX XMLCite \textit{K. Zelaya} et al., Adv. Math. Phys. 2017, Article ID 7168592, 15 p. (2017; Zbl 1400.81125) Full Text: DOI arXiv
Cruz y Cruz, S.; Gress, Z. Group approach to the paraxial propagation of Hermite-Gaussian modes in a parabolic medium. (English) Zbl 1373.81239 Ann. Phys. 383, 257-277 (2017). MSC: 81R30 17B81 PDFBibTeX XMLCite \textit{S. Cruz y Cruz} and \textit{Z. Gress}, Ann. Phys. 383, 257--277 (2017; Zbl 1373.81239) Full Text: DOI
Wolf, Kurt Bernardo Development of linear canonical transforms: a historical sketch. (English) Zbl 1334.78011 Healy, John J. (ed.) et al., Linear canonical transforms. Theory and applications. New York, NY: Springer (ISBN 978-1-4939-3027-2/hbk; 978-1-4939-3028-9/ebook). Springer Series in Optical Sciences 198, 3-28 (2016). MSC: 78A10 78A05 20G45 20C35 78-02 22E70 17B10 81S30 PDFBibTeX XMLCite \textit{K. B. Wolf}, Springer Ser. Opt. Sci. 198, 3--28 (2016; Zbl 1334.78011) Full Text: DOI
Ebrahimi-Fard, Kurusch; Manchon, Dominique The Magnus expansion, trees and Knuth’s rotation correspondence. (English) Zbl 1331.17016 Found. Comput. Math. 14, No. 1, 1-25 (2014). MSC: 17B40 05A05 34G10 PDFBibTeX XMLCite \textit{K. Ebrahimi-Fard} and \textit{D. Manchon}, Found. Comput. Math. 14, No. 1, 1--25 (2014; Zbl 1331.17016) Full Text: DOI
Ebrahimi-Fard, Kurusch; Manchon, Dominique The tridendriform structure of a discrete Magnus expansion. (English) Zbl 1292.17029 Discrete Contin. Dyn. Syst. 34, No. 3, 1021-1040 (2014). MSC: 17D25 34G10 05C05 34A25 PDFBibTeX XMLCite \textit{K. Ebrahimi-Fard} and \textit{D. Manchon}, Discrete Contin. Dyn. Syst. 34, No. 3, 1021--1040 (2014; Zbl 1292.17029) Full Text: DOI arXiv
Iacono, Donatella; Manetti, Marco Posetted trees and Baker-Campbell-Hausdorff product. (English) Zbl 1263.05012 Mediterr. J. Math. 10, No. 2, 611-623 (2013). MSC: 05C05 17B01 06A06 PDFBibTeX XMLCite \textit{D. Iacono} and \textit{M. Manetti}, Mediterr. J. Math. 10, No. 2, 611--623 (2013; Zbl 1263.05012) Full Text: DOI arXiv
Marquette, Ian Classical ladder operators, polynomial Poisson algebras, and classification of superintegrable systems. (English) Zbl 1273.81075 J. Math. Phys. 53, No. 1, 012901, 12 p. (2012). MSC: 81Q05 81R12 70H06 35R03 17B63 33E17 PDFBibTeX XMLCite \textit{I. Marquette}, J. Math. Phys. 53, No. 1, 012901, 12 p. (2012; Zbl 1273.81075) Full Text: DOI arXiv
Ebrahimi-Fard, Kurusch; Manchon, Dominique Twisted dendriform algebras and the pre-Lie Magnus expansion. (English) Zbl 1254.17002 J. Pure Appl. Algebra 215, No. 11, 2615-2627 (2011). Reviewer: Vesselin Drensky (Sofia) MSC: 17A30 16T05 33C80 16W25 17D25 PDFBibTeX XMLCite \textit{K. Ebrahimi-Fard} and \textit{D. Manchon}, J. Pure Appl. Algebra 215, No. 11, 2615--2627 (2011; Zbl 1254.17002) Full Text: DOI arXiv
Ebrahimi-Fard, Kurusch; Manchon, Dominique Dendriform equations. (English) Zbl 1229.17001 J. Algebra 322, No. 11, 4053-4079 (2009). Reviewer: Vesselin Drensky (Sofia) MSC: 17A30 16T05 34A30 45A05 05C05 PDFBibTeX XMLCite \textit{K. Ebrahimi-Fard} and \textit{D. Manchon}, J. Algebra 322, No. 11, 4053--4079 (2009; Zbl 1229.17001) Full Text: DOI arXiv
Ebrahimi-Fard, Kurusch; Manchon, Dominique A Magnus- and Fer-type formula in dendriform algebras. (English) Zbl 1173.17002 Found. Comput. Math. 9, No. 3, 295-316 (2009). Reviewer: Volodymyr Mazorchuk (Uppsala) MSC: 17A30 16W30 17D25 37C10 05C05 81T15 PDFBibTeX XMLCite \textit{K. Ebrahimi-Fard} and \textit{D. Manchon}, Found. Comput. Math. 9, No. 3, 295--316 (2009; Zbl 1173.17002) Full Text: DOI arXiv
Park, Chun-Gil; Rassias, Themistocles M. The \(N\)-isometric isomorphisms in linear \(N\)-normed \(C^{\ast}\)-algebras. (English) Zbl 1125.39028 Acta Math. Sin., Engl. Ser. 22, No. 6, 1863-1890 (2006). Reviewer: Mohammad Sal Moslehian (Mashhad) MSC: 39B82 39B52 17B60 17B63 17C65 46B04 46L05 46A70 PDFBibTeX XMLCite \textit{C.-G. Park} and \textit{T. M. Rassias}, Acta Math. Sin., Engl. Ser. 22, No. 6, 1863--1890 (2006; Zbl 1125.39028) Full Text: DOI
Halvorson, Hans On information-theoretic characterizations of physical theories. (English) Zbl 1222.81062 Stud. Hist. Philos. Sci., Part B, Stud. Hist. Philos. Mod. Phys. 35, No. 2, 277-293 (2004). MSC: 81P05 17C65 46N50 94A15 PDFBibTeX XMLCite \textit{H. Halvorson}, Stud. Hist. Philos. Sci., Part B, Stud. Hist. Philos. Mod. Phys. 35, No. 2, 277--293 (2004; Zbl 1222.81062) Full Text: DOI arXiv
Blanes, Sergio; Casas, Fernando On the convergence and optimization of the Baker-Campbell-Hausdorff formula. (English) Zbl 1054.17005 Linear Algebra Appl. 378, 135-158 (2004). Reviewer: Michael Wüstner (Darmstadt) MSC: 17B05 17B99 PDFBibTeX XMLCite \textit{S. Blanes} and \textit{F. Casas}, Linear Algebra Appl. 378, 135--158 (2004; Zbl 1054.17005) Full Text: DOI
Reutenauer, Christophe Free Lie algebras. (English) Zbl 1071.17003 Hazewinkel, M. (ed.), Handbook of algebra. Volume 3. Amsterdam: Elsevier (ISBN 0-444-51264-0/hbk). 887-903 (2003). Reviewer: Plamen Koshlukov (Campinas) MSC: 17B01 PDFBibTeX XMLCite \textit{C. Reutenauer}, in: Handbook of algebra. Volume 3. Amsterdam: Elsevier. 887--903 (2003; Zbl 1071.17003)
García-Compeán, Hugo; Plebański, Jerzy F. D-branes on group manifolds and deformation quantization. (English) Zbl 0973.81100 Nucl. Phys., B 618, No. 1-2, 81-98 (2001). MSC: 81T30 17B81 81S10 PDFBibTeX XMLCite \textit{H. García-Compeán} and \textit{J. F. Plebański}, Nucl. Phys., B 618, No. 1--2, 81--98 (2001; Zbl 0973.81100) Full Text: DOI arXiv
Bagrov, V. G.; Samsonov, B. F. Darboux transformation, factorization, and supersymmetry in one-dimensional quantum mechanics. (English. Russian original) Zbl 0857.34070 Theor. Math. Phys. 104, No. 2, 1051-1060 (1995); translation from Teor. Mat. Fiz. 104, No. 2, 356-367 (1995). MSC: 34L40 81U40 34A25 17A70 PDFBibTeX XMLCite \textit{V. G. Bagrov} and \textit{B. F. Samsonov}, Theor. Math. Phys. 104, No. 2, 1051--1060 (1995; Zbl 0857.34070); translation from Teor. Mat. Fiz. 104, No. 2, 356--367 (1995) Full Text: DOI
Chacon, R. V.; Fomenko, A. T. Recursion formulas for the Lie integral. (English) Zbl 0743.58007 Adv. Math. 88, No. 2, 200-257 (1991). Reviewer: I.Gottlieb (Iaşi) MSC: 58C35 34G10 17B99 PDFBibTeX XMLCite \textit{R. V. Chacon} and \textit{A. T. Fomenko}, Adv. Math. 88, No. 2, 200--257 (1991; Zbl 0743.58007) Full Text: DOI
Abbati, M. C.; Mania, A. A spectral theory for order unit spaces. (English) Zbl 0482.46006 Ann. Inst. Henri Poincaré, Nouv. Sér., Sect. A 35, 259-285 (1981). MSC: 46A40 46L60 81P10 46L99 17C65 03G12 PDFBibTeX XMLCite \textit{M. C. Abbati} and \textit{A. Mania}, Ann. Inst. Henri Poincaré, Nouv. Sér., Sect. A 35, 259--285 (1981; Zbl 0482.46006) Full Text: Numdam EuDML
Araki, Huzihiro On a characterization of the state space of quantum mechanics. (English) Zbl 0443.46046 Commun. Math. Phys. 75, 1-24 (1980). MSC: 46L99 17C65 46H99 81P10 46L30 PDFBibTeX XMLCite \textit{H. Araki}, Commun. Math. Phys. 75, 1--24 (1980; Zbl 0443.46046) Full Text: DOI
Alfsen, Erik M.; Schultz, F. W. State spaces of Jordan algebras. (English) Zbl 0397.46066 Acta Math. 140, 155-190 (1978). MSC: 46L99 46A50 46A55 46L05 17C65 46H99 PDFBibTeX XMLCite \textit{E. M. Alfsen} and \textit{F. W. Schultz}, Acta Math. 140, 155--190 (1978; Zbl 0397.46066) Full Text: DOI