Burgarth, Daniel; Facchi, Paolo; Hahn, Alexander; Johnsson, Mattias; Yuasa, Kazuya Strong Error Bounds for Trotter & Strang-Splittings and Their Implications for Quantum Chemistry. arXiv:2312.08044 Preprint, arXiv:2312.08044 [quant-ph] (2023). BibTeX Cite \textit{D. Burgarth} et al., ``Strong Error Bounds for Trotter & Strang-Splittings and Their Implications for Quantum Chemistry'', Preprint, arXiv:2312.08044 [quant-ph] (2023) Full Text: arXiv OA License
Burgarth, Daniel; Galke, Niklas; Hahn, Alexander; van Luijk, Lauritz State-dependent Trotter Limits and their approximations. arXiv:2209.14787 Preprint, arXiv:2209.14787 [quant-ph] (2022). BibTeX Cite \textit{D. Burgarth} et al., ``State-dependent Trotter Limits and their approximations'', Preprint, arXiv:2209.14787 [quant-ph] (2022) Full Text: DOI arXiv OA License
van Luijk, Lauritz; Galke, Niklas; Hahn, Alexander; Burgarth, Daniel Error bounds for Lie Group representations in quantum mechanics. arXiv:2211.08582 Preprint, arXiv:2211.08582 [quant-ph] (2022). BibTeX Cite \textit{L. van Luijk} et al., ``Error bounds for Lie Group representations in quantum mechanics'', Preprint, arXiv:2211.08582 [quant-ph] (2022) Full Text: DOI arXiv OA License
Hahn, Alexander J. Basic calculus of planetary orbits and interplanetary flight. The missions of the Voyagers, Cassini, and Juno. (English) Zbl 1444.85001 Cham: Springer (ISBN 978-3-030-24867-3/hbk; 978-3-030-24868-0/ebook). xiv, 375 p. (2020). Reviewer: Vladimir Čadež (Beograd) MSC: 85-01 85A05 70-01 70F15 70F05 70M20 70P05 70H40 70H14 83C10 PDFBibTeX XMLCite \textit{A. J. Hahn}, Basic calculus of planetary orbits and interplanetary flight. The missions of the Voyagers, Cassini, and Juno. Cham: Springer (2020; Zbl 1444.85001) Full Text: DOI
Hahn, Alexander; Wolf, Ramona Generalized string-nets for unitary fusion categories without tetrahedral symmetry. arXiv:2004.07045 Preprint, arXiv:2004.07045 [quant-ph] (2020). BibTeX Cite \textit{A. Hahn} and \textit{R. Wolf}, ``Generalized string-nets for unitary fusion categories without tetrahedral symmetry'', Preprint, arXiv:2004.07045 [quant-ph] (2020) Full Text: DOI arXiv OA License
Bridgeman, Jacob C.; Hahn, Alexander; Osborne, Tobias J.; Wolf, Ramona Gauging Defects in Quantum Spin Systems. arXiv:1910.10619 Preprint, arXiv:1910.10619 [quant-ph] (2019). BibTeX Cite \textit{J. C. Bridgeman} et al., ``Gauging Defects in Quantum Spin Systems'', Preprint, arXiv:1910.10619 [quant-ph] (2019) Full Text: DOI arXiv OA License
Hahn, Alexander J. Calculus in context. Background, basics, and applications. (English) Zbl 1379.26002 Baltimore, MD: Johns Hopkins University Press (ISBN 978-1-4214-2230-5/hbk; 978-1-4214-2231-2/ebook). xii, 692 p. (2017). Reviewer: David Kollosche (Berlin) MSC: 26-01 00A35 PDFBibTeX XMLCite \textit{A. J. Hahn}, Calculus in context. Background, basics, and applications. Baltimore, MD: Johns Hopkins University Press (2017; Zbl 1379.26002)
Hahn, Alexander Book review of: Felipe Cucker, Manifold mirrors: the crossing paths of the arts and mathematics. (English) Zbl 1302.00024 SIAM Rev. 56, No. 2, 376-378 (2014). MSC: 00A17 00A66 00A65 00A67 00A08 51M04 51M15 PDFBibTeX XMLCite \textit{A. Hahn}, SIAM Rev. 56, No. 2, 376--378 (2014; Zbl 1302.00024) Full Text: DOI
Hahn, Alexander J. Mathematical excursions to the world’s great buildings. (English) Zbl 1266.00021 Princeton, NJ: Princeton University Press (ISBN 978-0-691-14520-4/hbk; 978-1-400-84199-8/ebook). ix, 317 p. (2012). Reviewer: D. Ciesielska (Kraków) MSC: 00A67 00-01 00A66 01A99 PDFBibTeX XMLCite \textit{A. J. Hahn}, Mathematical excursions to the world's great buildings. Princeton, NJ: Princeton University Press (2012; Zbl 1266.00021)
Hahn, Alexander J. Quadratic forms over \(\mathbb Z\) from Diophantus to the 290 theorem. (English) Zbl 1204.11071 Adv. Appl. Clifford Algebr. 18, No. 3-4, 665-676 (2008). MSC: 11E12 11E88 11-03 11-02 PDFBibTeX XMLCite \textit{A. J. Hahn}, Adv. Appl. Clifford Algebr. 18, No. 3--4, 665--676 (2008; Zbl 1204.11071) Full Text: DOI
Hahn, Alexander The Clifford algebra in the theory of algebras, quadratic forms, and classical groups. (English) Zbl 1157.11309 Abłamowicz, Rafał (ed.), Clifford algebras. Applications to mathematics, physics, and engineering. Papers from the 6th international conference on Clifford algebras and their applications in mathematical physics, Cookeville, TN, USA, May 20–25, 2002. Boston, MA: Birkhäuser (ISBN 0-8176-3525-4/hbk). Progress in Mathematical Physics 34, 305-322 (2004). Reviewer: Olaf Ninnemann (Berlin) MSC: 11E88 11E81 15A66 16D70 20G15 PDFBibTeX XMLCite \textit{A. Hahn}, Prog. Math. Phys. 34, 305--322 (2004; Zbl 1157.11309)
Hahn, Alexander J. The pendulum swings again: a mathematical reassessment of Galileo’s experiments with inclined planes. (English) Zbl 1114.01006 Arch. Hist. Exact Sci. 56, No. 4, 339-361 (2002). MSC: 01A45 PDFBibTeX XMLCite \textit{A. J. Hahn}, Arch. Hist. Exact Sci. 56, No. 4, 339--361 (2002; Zbl 1114.01006) Full Text: DOI
Hahn, Alexander The Zassenhaus decomposition for the orthogonal group: properties and applications. (English) Zbl 0989.20036 Doc. Math. Extra Vol., Proc. Conf. Baton Rouge, March 26-30,2001, 165-181 (2001). Reviewer: Erich Ellers (Toronto) MSC: 20G15 20F05 20G25 20F12 PDFBibTeX XMLCite \textit{A. Hahn}, Doc. Math. Extra Vol., 165--181 (2001; Zbl 0989.20036) Full Text: EuDML EMIS
Hahn, Alexander J. Two historical applications of calculus. (English) Zbl 0995.01506 Coll. Math. J. 29, No. 2, 93-103 (1998). MSC: 01A45 01A50 PDFBibTeX XMLCite \textit{A. J. Hahn}, Coll. Math. J. 29, No. 2, 93--103 (1998; Zbl 0995.01506) Full Text: DOI
Hahn, Alexander J. Basic calculus. From Archimedes to Newton to its role in science. (English) Zbl 0913.00007 Textbooks in Mathematical Sciences. New York, NY: Springer. xiv, 545 p. (1998). Reviewer: H.Hösli (Ittigen) MSC: 00A05 26-01 01-01 PDFBibTeX XMLCite \textit{A. J. Hahn}, Basic calculus. From Archimedes to Newton to its role in science. New York, NY: Springer (1998; Zbl 0913.00007)
Hahn, Alexander J. The elements of the orthogonal group \(\Omega_ n(V)\) as products of commutators of symmetries. (English) Zbl 0859.20038 J. Algebra 184, No. 3, 927-944 (1996). Reviewer: E.Ellers (Toronto) MSC: 20G15 51F25 20G25 20F05 20F12 PDFBibTeX XMLCite \textit{A. J. Hahn}, J. Algebra 184, No. 3, 927--944 (1996; Zbl 0859.20038) Full Text: DOI
Hahn, Alexander J. Quadratic algebras, Clifford algebras, and arithmetic Witt groups. (English) Zbl 0791.11021 Universitext. New York, NY: Springer-Verlag. xi, 286 p. (1994). Reviewer: A.Pfister (Mainz) MSC: 11E88 15A66 11-02 13-02 15-02 11E04 13A99 11E81 15A63 15A75 13F05 PDFBibTeX XMLCite \textit{A. J. Hahn}, Quadratic algebras, Clifford algebras, and arithmetic Witt groups. New York, NY: Springer-Verlag (1994; Zbl 0791.11021)
Hahn, Alexander J. The coset lattices of E. S. Barnes and G. E. Wall. (English) Zbl 0724.11035 J. Aust. Math. Soc., Ser. A 49, No. 3, 418-433 (1990). Reviewer: Michio Ozeki (Hirosaki, Aomori) MSC: 11H56 11H55 11H06 11H31 11E25 20B25 52C07 PDFBibTeX XMLCite \textit{A. J. Hahn}, J. Aust. Math. Soc., Ser. A 49, No. 3, 418--433 (1990; Zbl 0724.11035)
Hahn, Alexander; O’Meara, O. Timothy [Dieudonné, J.] The classical groups and K-theory. Foreword by J. Dieudonné. (English) Zbl 0683.20033 Grundlehren der Mathematischen Wissenschaften, 291. Berlin etc.: Springer-Verlag. xv, 576 p. DM 198.00 (1989). Reviewer: L.Vaserstein and E.Wheland MSC: 20G35 18F25 20-02 20F28 20E32 PDFBibTeX XMLCite \textit{A. Hahn} and \textit{O. T. O'Meara}, The classical groups and K-theory. Foreword by J. Dieudonné. Berlin etc.: Springer-Verlag (1989; Zbl 0683.20033)
Hahn, Alexander J. The finite presentability of linear groups. (English) Zbl 0667.20037 Classical groups and related topics, Proc. Conf., Beijing/China 1987, Contemp. Math. 82, 23-33 (1989). Reviewer: H.Abels MSC: 20G30 20G35 20F05 18F25 PDFBibTeX XML
Hahn, Alexander J. (ed.); James, Donald G. (ed.); Wan, Zhexian (ed.) Classical groups and related topics. Proceedings of a conference in honor of L. K. Hua held May 18-23, 1987, Beijing, China. (English) Zbl 0658.00005 Contemporary Mathematics, 82. Providence, RI: American Mathematical Society (AMS). xvi, 254 p. $ 28.00 (1989). MSC: 00B25 20-06 00B30 PDFBibTeX XMLCite \textit{A. J. Hahn} (ed.) et al., Classical groups and related topics. Proceedings of a conference in honor of L. K. Hua held May 18-23, 1987, Beijing, China. Providence, RI: American Mathematical Society (1989; Zbl 0658.00005) Full Text: DOI
Hahn, Alexander J. Algebraic K-theory, Morita theory, and the classical groups. (English) Zbl 0583.20037 Group theory, Proc. Int. Symp., Beijing/China 1984, Lect. Notes Math. 1185, 88-117 (1986). Reviewer: L.Vaserstein MSC: 20H25 20G35 18F25 PDFBibTeX XML
Hahn, Alexander J.; Li, Zunxian Hermitian Morita theory and hyperbolic unitary groups. (English) Zbl 0578.20034 J. Algebra 97, 30-52 (1985). Reviewer: H.Ren MSC: 20G15 20E36 PDFBibTeX XMLCite \textit{A. J. Hahn} and \textit{Z. Li}, J. Algebra 97, 30--52 (1985; Zbl 0578.20034) Full Text: DOI
Hahn, Alexander J. A Hermitian Morita theorem for algebras with anti-structure. (English) Zbl 0564.18010 J. Algebra 93, 215-235 (1985). Reviewer: C.T.C.Wall MSC: 18F25 16B50 11E16 16D90 16Kxx 13D15 PDFBibTeX XMLCite \textit{A. J. Hahn}, J. Algebra 93, 215--235 (1985; Zbl 0564.18010) Full Text: DOI
Hahn, Alexander J. Linear groups over maximal orders. (English) Zbl 0548.20039 Ill. J. Math. 28, 425-436 (1984). Reviewer: P.Menal MSC: 20H25 20E36 16D90 16H05 PDFBibTeX XMLCite \textit{A. J. Hahn}, Ill. J. Math. 28, 425--436 (1984; Zbl 0548.20039)
Hahn, Alexander J.; James, Donald G.; Weisfeiler, Boris Homomorphisms of algebraic and classical groups: A survey. (English) Zbl 0547.20036 Quadratic and Hermitian forms, Conf. Hamilton/Ont. 1983, CMS Conf. Proc. 4, 249-296 (1984). Reviewer: Yu.I.Merzlyakov MSC: 20G15 20E36 20G35 PDFBibTeX XML
Hahn, Alex (ed.); Wong, Warren (ed.) Topics in the theory of algebraic groups. (English) Zbl 0499.00008 Notre Dame Mathematical Lectures, No. 10. Notre Dame, Indiana - London: University of Notre Dame Press. IX, 181 p. $ 9.95 (1982). MSC: 00B25 14-06 20-06 PDFBibTeX XML Full Text: Euclid
Hahn, Alexander J. Category equivalences and linear groups over rings. (English) Zbl 0489.20040 J. Algebra 77, 505-543 (1982). MSC: 20H25 20E36 16S50 PDFBibTeX XMLCite \textit{A. J. Hahn}, J. Algebra 77, 505--543 (1982; Zbl 0489.20040) Full Text: DOI
[Dull, M. H.; O’Meara, O. T.; Solazzi, R. E.; Hahn, A. J.] Isomorphisms of classical groups over integral rings. Collection of articles. Transl. from the English ed. by Yu. I. Merzlyakov. (Izomorfizmy klassicheskikh grupp nad tselostnymi kol’tsami. Sbornik statej.). (Russian) Zbl 0447.20037 Matematika, Novoe v Zarubezhnoj Nauke, 20. Moskva: Izdatel’stvo ”Mir”. 272 p. R. 2.30 (1980). MSC: 20H30 20H25 20G40 20G35 PDFBibTeX XML
Hahn, Alexander J. Unipotent elements and the spinor norms of Wall and Zassenhaus. (English) Zbl 0427.15013 Arch. Math. 32, 114-122 (1979). MSC: 15A63 15A66 11E16 PDFBibTeX XMLCite \textit{A. J. Hahn}, Arch. Math. 32, 114--122 (1979; Zbl 0427.15013) Full Text: DOI
Hahn, Alexander J. Isomorphism theory for orthogonal groups over arbitrary integral domains. (English) Zbl 0375.20032 J. Algebra 51, 233-287 (1978). MSC: 20G35 PDFBibTeX XMLCite \textit{A. J. Hahn}, J. Algebra 51, 233--287 (1978; Zbl 0375.20032) Full Text: DOI
Hahn, A. J. Isomorphisms of integral orthogonal groups. (English) Zbl 0381.20033 Proc. Conf. Quadratic Forms, Kingston 1976, Queen’s Pap. pure appl. Math. 46, 522-527 (1977). MSC: 20G35 20G15 11E57 PDFBibTeX XML
Hahn, Alexander J. Cayley algebras and the isomorphisms of the orthogonal groups over arithmetic and local domains. (English) Zbl 0363.20034 J. Algebra 45, 210-246 (1977). MSC: 20G05 20E36 17D05 15A63 PDFBibTeX XMLCite \textit{A. J. Hahn}, J. Algebra 45, 210--246 (1977; Zbl 0363.20034) Full Text: DOI
Hahn, Alexander J. Isomorphisms of the integral classical groups and their congruence subgroups. (English) Zbl 0405.20044 Am. J. Math. 97(1975), 865-887 (1976). MSC: 20G30 11E57 PDFBibTeX XMLCite \textit{A. J. Hahn}, Am. J. Math. 97, 865--887 (1976; Zbl 0405.20044) Full Text: DOI
Hahn, Alexander Cayley algebras and the automorphisms of \(PO'_8(V)\) and \(P\Omega_8(V)\). (English) Zbl 0363.20033 Am. J. Math. 98, 953-987 (1976). MSC: 20G05 17D05 15A63 20E36 PDFBibTeX XMLCite \textit{A. Hahn}, Am. J. Math. 98, 953--987 (1976; Zbl 0363.20033) Full Text: DOI
Hahn, Alexander J. On the isomrophisms of the projective orthogonal groups and their congruence subgroups. (English) Zbl 0314.20032 J. Reine Angew. Math. 273, 1-22 (1975). MSC: 20G15 20G25 20G30 11E57 PDFBibTeX XMLCite \textit{A. J. Hahn}, J. Reine Angew. Math. 273, 1--22 (1975; Zbl 0314.20032) Full Text: DOI Crelle EuDML
Hahn, Alexander J. The isomorphisms of certain subgroups of the isometry groups of reflexive spaces. (English) Zbl 0273.20033 J. Algebra 27, 205-242 (1973). MSC: 20E36 PDFBibTeX XMLCite \textit{A. J. Hahn}, J. Algebra 27, 205--242 (1973; Zbl 0273.20033) Full Text: DOI
Hahn, Alexander J. On the homomorphisms of the integral linear groups. (English) Zbl 0244.20031 Math. Ann. 197, 234-250 (1972). MSC: 20E36 11R99 11S99 20G35 20G30 PDFBibTeX XMLCite \textit{A. J. Hahn}, Math. Ann. 197, 234--250 (1972; Zbl 0244.20031) Full Text: DOI EuDML