Javed, Amaria; Uthayakumar, T.; Al Khawaja, U. Simulating an all-optical quantum controlled-NOT gate using soliton scattering by a reflectionless potential well. (English) Zbl 07471834 Phys. Lett., A 429, Article ID 127949, 7 p. (2022). MSC: 81P65 35C08 81V80 78A45 81Q93 57R67 81-10 PDF BibTeX XML Cite \textit{A. Javed} et al., Phys. Lett., A 429, Article ID 127949, 7 p. (2022; Zbl 07471834) Full Text: DOI OpenURL
Mögerle, Johannes; Schuldt, Robin; Reiff, Johannes; Main, Jörg; Hernandez, Rigoberto Transition state dynamics of a driven magnetic free layer. (English) Zbl 07443072 Commun. Nonlinear Sci. Numer. Simul. 105, Article ID 106054, 10 p. (2022). MSC: 78A25 82D40 57R50 PDF BibTeX XML Cite \textit{J. Mögerle} et al., Commun. Nonlinear Sci. Numer. Simul. 105, Article ID 106054, 10 p. (2022; Zbl 07443072) Full Text: DOI arXiv OpenURL
Saha, Sayan; Shaikh, Shabbir; Mukherjee, Suvodip; Souradeep, Tarun; Wandelt, Benjamin D. Bayesian estimation of our local motion from the Planck-2018 CMB temperature map. (English) Zbl 07489243 J. Cosmol. Astropart. Phys. 2021, No. 10, Paper No. 72, 28 p. (2021). MSC: 83C50 78A50 81V80 81V60 57R15 70M20 74E10 33C55 80A10 60G35 PDF BibTeX XML Cite \textit{S. Saha} et al., J. Cosmol. Astropart. Phys. 2021, No. 10, Paper No. 72, 28 p. (2021; Zbl 07489243) Full Text: DOI arXiv OpenURL
Liu, Lei-Hua; Prokopec, Tomislav Non-minimally coupled curvaton. (English) Zbl 07472124 J. Cosmol. Astropart. Phys. 2021, No. 6, Paper No. 33, 42 p. (2021). MSC: 83F05 83E05 35B20 57K20 83C50 78A45 PDF BibTeX XML Cite \textit{L.-H. Liu} and \textit{T. Prokopec}, J. Cosmol. Astropart. Phys. 2021, No. 6, Paper No. 33, 42 p. (2021; Zbl 07472124) Full Text: DOI arXiv OpenURL
Becker, Christoph; Eggemeier, Alexander; Davies, Christopher T.; Li, Baojiu Proca-stinated cosmology. II: Matter, halo, and lensing statistics in the vector Galileon. (English) Zbl 07472105 J. Cosmol. Astropart. Phys. 2021, No. 6, Paper No. 14, 43 p. (2021). MSC: 83E05 83F05 57R25 83C45 81V19 83C30 81V70 83C50 78A45 70H45 83-10 PDF BibTeX XML Cite \textit{C. Becker} et al., J. Cosmol. Astropart. Phys. 2021, No. 6, Paper No. 14, 43 p. (2021; Zbl 07472105) Full Text: DOI arXiv OpenURL
Nakagawa, Shota; Takahashi, Fuminobu; Yamada, Masaki Trapping effect for QCD axion dark matter. (English) Zbl 07471322 J. Cosmol. Astropart. Phys. 2021, No. 5, Paper No. 62, 28 p. (2021). MSC: 83C56 81V25 78A37 80A10 57R67 58J47 81V05 PDF BibTeX XML Cite \textit{S. Nakagawa} et al., J. Cosmol. Astropart. Phys. 2021, No. 5, Paper No. 62, 28 p. (2021; Zbl 07471322) Full Text: DOI arXiv OpenURL
Jain, Mudit; Long, Andrew J.; Amin, Mustafa A. CMB birefringence from ultralight-axion string networks. (English) Zbl 07471315 J. Cosmol. Astropart. Phys. 2021, No. 5, Paper No. 55, 38 p. (2021). MSC: 83F05 81V22 81V60 57R67 81V25 81V80 83E30 78A45 62M20 PDF BibTeX XML Cite \textit{M. Jain} et al., J. Cosmol. Astropart. Phys. 2021, No. 5, Paper No. 55, 38 p. (2021; Zbl 07471315) Full Text: DOI arXiv OpenURL
Bode, Benjamin Stable knots and links in electromagnetic fields. (English) Zbl 07424943 Commun. Math. Phys. 387, No. 3, 1757-1770 (2021). MSC: 35Qxx 78Axx 57K10 57R17 PDF BibTeX XML Cite \textit{B. Bode}, Commun. Math. Phys. 387, No. 3, 1757--1770 (2021; Zbl 07424943) Full Text: DOI arXiv OpenURL
Bode, Benjamin Quasipositive links and electromagnetism. (English) Zbl 07401481 Topology Appl. 301, Article ID 107495, 13 p. (2021). Reviewer: Youlin Li (Shanghai) MSC: 57K10 78A25 PDF BibTeX XML Cite \textit{B. Bode}, Topology Appl. 301, Article ID 107495, 13 p. (2021; Zbl 07401481) Full Text: DOI arXiv OpenURL
Dray, Tevian The geometry of special relativity. 2nd edition. (English) Zbl 1471.83001 Textbooks in Mathematics. Boca Raton, FL: CRC Press (ISBN 978-1-032-00820-2/hbk; 978-1-138-06392-1/pbk; 978-1-351-66321-2/ebook). xxi, 174 p. (2021). MSC: 83-01 83A05 51P05 83C10 83C22 78A25 83C40 83C57 57M50 53Z05 PDF BibTeX XML Cite \textit{T. Dray}, The geometry of special relativity. 2nd edition. Boca Raton, FL: CRC Press (2021; Zbl 1471.83001) OpenURL
Mandal, Susobhan Effect of torsion on the radiation fields in curved spacetime. (English) Zbl 1475.83115 Phys. Lett., B 810, Article ID 135778, 11 p. (2020). MSC: 83D05 57Q10 78A40 83C50 83C35 81R40 PDF BibTeX XML Cite \textit{S. Mandal}, Phys. Lett., B 810, Article ID 135778, 11 p. (2020; Zbl 1475.83115) Full Text: DOI OpenURL
Borodzik, Maciej; Dangskul, Supredee; Ranicki, Andrew Solid angles and Seifert hypersurfaces. (English) Zbl 1437.57021 Ann. Global Anal. Geom. 57, No. 3, 415-454 (2020). Reviewer: Inasa Nakamura (Kanazawa) MSC: 57K45 78A25 PDF BibTeX XML Cite \textit{M. Borodzik} et al., Ann. Global Anal. Geom. 57, No. 3, 415--454 (2020; Zbl 1437.57021) Full Text: DOI arXiv OpenURL
Velimirović, Ljubica S.; Najdanović, Marija; Rančić, Svetozar Knot energy. (English) Zbl 1455.53026 Suh, Young Jin (ed.) et al., Proceedings of the 22nd international workshop on differential geometry of submanifolds in symmetric spaces and the 17th RIRCM-OCAMI joint differential geometry workshop. On the occasion of Prof. Young Jin Suh’s 65th birthday, Daegu, South Korea, July 31 – August 5, 2019. Suwon: Kyung Hee University, Research Institute of Real and Complex Manifolds (RIRCM); Osaka: Osaka City University Advanced Mathematical Institute (OCAMI). 65-71 (2019). MSC: 53A04 53C45 57K10 78A25 PDF BibTeX XML Cite \textit{L. S. Velimirović} et al., in: Proceedings of the 22nd international workshop on differential geometry of submanifolds in symmetric spaces and the 17th RIRCM-OCAMI joint differential geometry workshop. On the occasion of Prof. Young Jin Suh's 65th birthday, Daegu, South Korea, July 31 -- August 5, 2019. Suwon: Kyung Hee University, Research Institute of Real and Complex Manifolds (RIRCM); Osaka: Osaka City University Advanced Mathematical Institute (OCAMI). 65--71 (2019; Zbl 1455.53026) OpenURL
Arrayás, M.; Trueba, J. L. The method of Fourier transforms applied to electromagnetic knots. (English) Zbl 1421.78003 Eur. J. Phys. 40, No. 1, Article ID 015205, 17 p. (2019). MSC: 78A25 35Q61 57M25 42B10 81V80 97M50 PDF BibTeX XML Cite \textit{M. Arrayás} and \textit{J. L. Trueba}, Eur. J. Phys. 40, No. 1, Article ID 015205, 17 p. (2019; Zbl 1421.78003) Full Text: DOI arXiv OpenURL
Özdemir, Zehra Pseudo null curve variations for Bishop Frame in 3D semi-Riemannian manifold. (English) Zbl 1422.49042 Int. J. Geom. Methods Mod. Phys. 16, No. 3, Article ID 1950043, 19 p. (2019). MSC: 49Q20 57R25 51B20 14H45 37C10 78A35 PDF BibTeX XML Cite \textit{Z. Özdemir}, Int. J. Geom. Methods Mod. Phys. 16, No. 3, Article ID 1950043, 19 p. (2019; Zbl 1422.49042) Full Text: DOI OpenURL
Najdanović, Marija S.; Rančić, Svetozar R.; Kauffman, Louis H.; Velimirović, Ljubica S. The total curvature of knots under second-order infinitesimal bending. (English) Zbl 1410.53005 J. Knot Theory Ramifications 28, No. 1, Article ID 1950005, 12 p. (2019). Reviewer: Ergin Bayram (Samsun) MSC: 53A04 53C45 57M25 57M27 78A25 PDF BibTeX XML Cite \textit{M. S. Najdanović} et al., J. Knot Theory Ramifications 28, No. 1, Article ID 1950005, 12 p. (2019; Zbl 1410.53005) Full Text: DOI OpenURL
Mal’tsev, A. Ya.; Novikov, S. P. The theory of closed 1-forms, levels of quasiperiodic functions and transport phenomena in electron systems. (English. Russian original) Zbl 1431.82037 Proc. Steklov Inst. Math. 302, 279-297 (2018); translation from Tr. Mat. Inst. Steklova 302, 296-315 (2018). MSC: 82D35 82D40 35Q55 82C70 78A35 57R30 57M50 PDF BibTeX XML Cite \textit{A. Ya. Mal'tsev} and \textit{S. P. Novikov}, Proc. Steklov Inst. Math. 302, 279--297 (2018; Zbl 1431.82037); translation from Tr. Mat. Inst. Steklova 302, 296--315 (2018) Full Text: DOI arXiv OpenURL
Binysh, Jack; Alexander, Gareth P. Maxwell’s theory of solid angle and the construction of knotted fields. (English) Zbl 07031157 J. Phys. A, Math. Theor. 51, No. 38, Article ID 385202, 20 p. (2018). MSC: 78A40 78A48 57M25 51N15 14H81 82D30 PDF BibTeX XML Cite \textit{J. Binysh} and \textit{G. P. Alexander}, J. Phys. A, Math. Theor. 51, No. 38, Article ID 385202, 20 p. (2018; Zbl 07031157) Full Text: DOI arXiv OpenURL
Kedia, Hridesh; Peralta-Salas, Daniel; Irvine, William T. M. When do knots in light stay knotted? (English) Zbl 1383.78018 J. Phys. A, Math. Theor. 51, No. 2, Article ID 025204, 19 p. (2018). MSC: 78A40 57M25 76B47 78A25 PDF BibTeX XML Cite \textit{H. Kedia} et al., J. Phys. A, Math. Theor. 51, No. 2, Article ID 025204, 19 p. (2018; Zbl 1383.78018) Full Text: DOI arXiv OpenURL
Kou, Su-Peng Kelvin wave and knot dynamics on entangled vortices. (English) Zbl 1426.81004 Int. J. Mod. Phys. B 31, No. 31, Article ID 1750241, 86 p. (2017). MSC: 81P05 81Q05 78A25 57K10 81T05 PDF BibTeX XML Cite \textit{S.-P. Kou}, Int. J. Mod. Phys. B 31, No. 31, Article ID 1750241, 86 p. (2017; Zbl 1426.81004) Full Text: DOI arXiv OpenURL
Arrayás, M.; Trueba, J. L. Collision of two hopfions. (English) Zbl 1361.78002 J. Phys. A, Math. Theor. 50, No. 8, Article ID 085203, 10 p. (2017). MSC: 78A25 35C08 57Q45 35P25 PDF BibTeX XML Cite \textit{M. Arrayás} and \textit{J. L. Trueba}, J. Phys. A, Math. Theor. 50, No. 8, Article ID 085203, 10 p. (2017; Zbl 1361.78002) Full Text: DOI arXiv OpenURL
Provenzi, Edoardo A differential geometry model for the perceived colors space. (English) Zbl 1352.78012 Int. J. Geom. Methods Mod. Phys. 13, No. 8, Article ID 1630008, 8 p. (2016). MSC: 78A70 92B05 53C20 53B20 22E70 57S25 PDF BibTeX XML Cite \textit{E. Provenzi}, Int. J. Geom. Methods Mod. Phys. 13, No. 8, Article ID 1630008, 8 p. (2016; Zbl 1352.78012) Full Text: DOI OpenURL
Oberti, Chiara; Ricca, Renzo L. On torus knots and unknots. (English) Zbl 1341.57005 J. Knot Theory Ramifications 25, No. 6, Article ID 1650036, 18 p. (2016). Reviewer: Oleg Karpenkov (Liverpool) MSC: 57M25 57M27 78A25 PDF BibTeX XML Cite \textit{C. Oberti} and \textit{R. L. Ricca}, J. Knot Theory Ramifications 25, No. 6, Article ID 1650036, 18 p. (2016; Zbl 1341.57005) Full Text: DOI OpenURL
Honegger, Reinhard; Rieckers, Alfred Photons in Fock space and beyond. Vol. I: From classical to quantized radiation systems. Vol. II: Quantized mesoscopic radiation models. Vol. III: Mathematics for photon fields. (English) Zbl 1381.81005 Hackensack, NJ: World Scientific (ISBN 978-981-4618-83-0/vol.1; 978-981-4618-86-1/vol.2; 978-981-4618-89-2/vol.3; 978-981-4618-82-3/set; 978-981-4696-57-9/ebook). xxxvii, 2084, L p. (2015). Reviewer: Daniel A. Dubin (Milton Keynes) MSC: 81-02 81V10 78A25 70S05 81S30 47B25 81S20 81V80 57R32 58H10 81T70 46L60 82D20 PDF BibTeX XML Cite \textit{R. Honegger} and \textit{A. Rieckers}, Photons in Fock space and beyond. Vol. I: From classical to quantized radiation systems. Vol. II: Quantized mesoscopic radiation models. Vol. III: Mathematics for photon fields. Hackensack, NJ: World Scientific (2015; Zbl 1381.81005) Full Text: DOI OpenURL
Light, Gregory L. Electromagnetism in the standard model. (English) Zbl 1343.81128 Int. J. Appl. Math. 28, No. 5, 541-555 (2015). MSC: 81Q99 78A25 83A05 81T13 83C47 57R25 PDF BibTeX XML Cite \textit{G. L. Light}, Int. J. Appl. Math. 28, No. 5, 541--555 (2015; Zbl 1343.81128) Full Text: DOI OpenURL
Kholodenko, Arkady Black magic session of concordance: Regge mass spectrum from Casson’s invariant. (English) Zbl 1337.83067 Int. J. Mod. Phys. A 30, No. 33, Article ID 1550189, 48 p. (2015). MSC: 83D05 83C57 83C27 83C40 53Z05 54F65 57M27 57Q45 76Y05 78A25 81T20 PDF BibTeX XML Cite \textit{A. Kholodenko}, Int. J. Mod. Phys. A 30, No. 33, Article ID 1550189, 48 p. (2015; Zbl 1337.83067) Full Text: DOI arXiv OpenURL
Niculescu, V. I. R.; Miclos, S.; Popescu, D.; Sandru, Liana; Dontu, Simona The piecewise Hopf link undulator model. (English) Zbl 1334.78036 Mihai, Adela (ed.) et al., Riemannian geometry and applications. Proceedings of the international conference – RIGA, Bucharest, Romania, May 19–21, 2014. Bucureşti: Editura Universităţii din Bucureşti (ISBN 978-606-16-0553-8). 159-162 (2014). MSC: 78A60 57M25 PDF BibTeX XML Cite \textit{V. I. R. Niculescu} et al., in: Riemannian geometry and applications. Proceedings of the international conference -- RIGA, Bucharest, Romania, May 19--21, 2014. Bucureşti: Editura Universităţii din Bucureşti. 159--162 (2014; Zbl 1334.78036) OpenURL
Thompson, Amy; Swearngin, Joe; Bouwmeester, Dirk Linked and knotted gravitational radiation. (English) Zbl 1300.83020 J. Phys. A, Math. Theor. 47, No. 35, Article ID 355205, 11 p. (2014). MSC: 83C35 57Q45 57M25 83C60 78A25 54F65 PDF BibTeX XML Cite \textit{A. Thompson} et al., J. Phys. A, Math. Theor. 47, No. 35, Article ID 355205, 11 p. (2014; Zbl 1300.83020) Full Text: DOI arXiv OpenURL
DeTurck, Dennis; Gluck, Herman; Komendarczyk, Rafal; Melvin, Paul; Shonkwiler, Clayton; Vela-Vick, David Shea Generalized Gauss maps and integrals for three-component links: toward higher helicities for magnetic fields and fluid flows. (English) Zbl 1328.57007 J. Math. Phys. 54, No. 1, 013515, 48 p. (2013). MSC: 57M25 78A25 76W05 PDF BibTeX XML Cite \textit{D. DeTurck} et al., J. Math. Phys. 54, No. 1, 013515, 48 p. (2013; Zbl 1328.57007) Full Text: DOI arXiv Link OpenURL
Li, Bo; Liu, Pei; Xu, Zhenli; Zhou, Shenggao Ionic size effects: generalized Boltzmann distributions, counterion stratification and modified Debye length. (English) Zbl 1286.35233 Nonlinearity 26, No. 10, 2899-2922 (2013). Reviewer: Eva Sánchez (Madrid) MSC: 35Q60 82B80 65C05 78A30 57N80 PDF BibTeX XML Cite \textit{B. Li} et al., Nonlinearity 26, No. 10, 2899--2922 (2013; Zbl 1286.35233) Full Text: DOI Link OpenURL
Low, Robert Book review: The geometry of special relativity: a concise course by N. Dragon. (English) Zbl 1284.00020 Gen. Relativ. Gravitation 45, No. 10, 2075-2076 (2013). MSC: 00A17 83-02 83A05 57M50 83C10 78A25 83C05 PDF BibTeX XML Cite \textit{R. Low}, Gen. Relativ. Gravitation 45, No. 10, 2075--2076 (2013; Zbl 1284.00020) Full Text: DOI OpenURL
Di Grezia, Elisabetta; Esposito, Giampiero; Figliolia, Marco; Vitale, Patrizia The Seiberg-Witten map for non-commutative pure gravity and vacuum Maxwell theory. (English) Zbl 1277.83066 Int. J. Geom. Methods Mod. Phys. 10, No. 6, Article ID 1350023, 24 p. (2013). MSC: 83C65 57R57 58J42 81T13 81R60 83C15 83C22 78A25 PDF BibTeX XML Cite \textit{E. Di Grezia} et al., Int. J. Geom. Methods Mod. Phys. 10, No. 6, Article ID 1350023, 24 p. (2013; Zbl 1277.83066) Full Text: DOI arXiv OpenURL
DeTurck, Dennis; Gluck, Herman; Komendarczyk, Rafal; Melvin, Paul; Nuchi, Haggai; Shonkwiler, Clayton; Vela-Vick, David Shea Generalized Gauss maps and integrals for three-component links: toward higher helicities for magnetic fields and fluid flows. II. (English) Zbl 1348.57007 Algebr. Geom. Topol. 13, No. 5, 2897-2923 (2013). MSC: 57M25 76B99 78A25 PDF BibTeX XML Cite \textit{D. DeTurck} et al., Algebr. Geom. Topol. 13, No. 5, 2897--2923 (2013; Zbl 1348.57007) Full Text: DOI OpenURL
Skripchenko, Alexandra On connectedness of chaotic sections of some 3-periodic surfaces. (English) Zbl 1350.37046 Ann. Global Anal. Geom. 43, No. 3, 253-271 (2013). MSC: 37E05 57R30 57M50 78A35 PDF BibTeX XML Cite \textit{A. Skripchenko}, Ann. Global Anal. Geom. 43, No. 3, 253--271 (2013; Zbl 1350.37046) Full Text: DOI arXiv OpenURL
Dragon, Norbert The geometry of special relativity – a concise course. (English) Zbl 1271.83003 SpringerBriefs in Physics. Berlin: Springer (ISBN 978-3-642-28328-4/pbk; 978-3-642-28329-1/ebook). viii, 143 p. (2012). Reviewer: Marc Mars (Salamanca) MSC: 83-02 83A05 57M50 83C10 78A25 83C05 PDF BibTeX XML Cite \textit{N. Dragon}, The geometry of special relativity -- a concise course. Berlin: Springer (2012; Zbl 1271.83003) Full Text: DOI OpenURL
Dray, Tevian The geometry of special relativity. (English) Zbl 1251.83001 Boca Raton, FL: CRC Press (ISBN 978-1-4665-1047-0/hbk; 978-1-4665-1048-7/ebook). xvii, 131 p. £ 22.00/hbk (2012). Reviewer: Alex Gaina (Chisinau) MSC: 83-01 83A05 51P05 83C10 83C22 78A25 83C40 83C57 57M50 PDF BibTeX XML Cite \textit{T. Dray}, The geometry of special relativity. Boca Raton, FL: CRC Press (2012; Zbl 1251.83001) Full Text: DOI Link OpenURL
Ricca, Renzo L.; Nipoti, Bernardo Derivation and interpretation of the Gauss linking number. (English) Zbl 1260.57022 Kauffman, Louis H. (ed.) et al., Introductory lectures on knot theory. Selected lectures presented at the advanced school and conference on knot theory and its applications to physics and biology, ICTP, Trieste, Italy, May 11–29, 2009. Hackensack, NJ: World Scientific; Trieste: ICTP - The Abdus Salam International Centre for Theoretical Physics (ISBN 978-981-4307-99-4/hbk; 978-981-4313-00-1/ebook). Series on Knots and Everything 46, 482-501 (2012). MSC: 57M25 78A25 57-03 01A55 PDF BibTeX XML Cite \textit{R. L. Ricca} and \textit{B. Nipoti}, Ser. Knots Everything 46, 482--501 (2012; Zbl 1260.57022) Full Text: Link OpenURL
Aazami, A. B.; Petters, A. O.; Rabin, J. M. Orbifolds, the \(A, D, E\) family of caustic singularities, and gravitational lensing. (English) Zbl 1314.57022 J. Math. Phys. 52, No. 2, 022501, 11 p. (2011). MSC: 57R18 58K05 20F55 51F15 78A05 83C50 83C57 78A40 PDF BibTeX XML Cite \textit{A. B. Aazami} et al., J. Math. Phys. 52, No. 2, 022501, 11 p. (2011; Zbl 1314.57022) Full Text: DOI arXiv OpenURL
Ricca, Renzo L.; Nipoti, Bernardo Gauss’ linking number revisited. (English) Zbl 1230.57009 J. Knot Theory Ramifications 20, No. 10, 1325-1343 (2011). MSC: 57M25 57M27 78A25 57-03 01A55 PDF BibTeX XML Cite \textit{R. L. Ricca} and \textit{B. Nipoti}, J. Knot Theory Ramifications 20, No. 10, 1325--1343 (2011; Zbl 1230.57009) Full Text: DOI OpenURL
Aazami, A. B.; Petters, A. O. A universal magnification theorem. III: Caustics beyond codimension 5. (English) Zbl 1309.83039 J. Math. Phys. 51, No. 2, 023503, 9 p. (2010). MSC: 83C35 78A05 58K05 57R70 58K50 PDF BibTeX XML Cite \textit{A. B. Aazami} and \textit{A. O. Petters}, J. Math. Phys. 51, No. 2, 023503, 9 p. (2010; Zbl 1309.83039) Full Text: DOI arXiv OpenURL
Maggioni, Francesca; Ricca, Renzo L. On the groundstate energy of tight knots. (English) Zbl 1186.76699 Proc. R. Soc. Lond., Ser. A, Math. Phys. Eng. Sci. 465, No. 2109, 2761-2783 (2009). MSC: 76W05 78A02 57M25 PDF BibTeX XML Cite \textit{F. Maggioni} and \textit{R. L. Ricca}, Proc. R. Soc. Lond., Ser. A, Math. Phys. Eng. Sci. 465, No. 2109, 2761--2783 (2009; Zbl 1186.76699) Full Text: DOI arXiv Link OpenURL
Kryukovskii, A. S.; Lukin, D. S.; Rastyagaev, D. V. Construction of uniform asymptotic solutions of wave-type differential equations by methods of catastrophe theory. (English) Zbl 1180.35503 Russ. J. Math. Phys. 16, No. 2, 251-264 (2009). MSC: 35Q60 57R45 58C25 78A45 35A35 35C20 PDF BibTeX XML Cite \textit{A. S. Kryukovskii} et al., Russ. J. Math. Phys. 16, No. 2, 251--264 (2009; Zbl 1180.35503) Full Text: DOI OpenURL
Ren, Ji-Rong; Zhu, Tao; Mo, Shu-Fan Knotted topological phase singularities of electromagnetic field. (English) Zbl 1392.78010 Commun. Theor. Phys. 50, No. 5, 1071-1076 (2008). MSC: 78A25 57M25 PDF BibTeX XML Cite \textit{J.-R. Ren} et al., Commun. Theor. Phys. 50, No. 5, 1071--1076 (2008; Zbl 1392.78010) Full Text: DOI arXiv OpenURL
Ren, Ji-Rong; Zhu, Tao; Duan, Yi-Shi Topology of knotted optical vortices. (English) Zbl 1392.78007 Commun. Theor. Phys. 50, No. 2, 345-348 (2008). MSC: 78A10 57M25 PDF BibTeX XML Cite \textit{J.-R. Ren} et al., Commun. Theor. Phys. 50, No. 2, 345--348 (2008; Zbl 1392.78007) Full Text: DOI arXiv OpenURL
Greenleaf, Allan; Kurylev, Yaroslav; Lassas, Matti; Uhlmann, Gunther Electromagnetic wormholes via handlebody constructions. (English) Zbl 1161.78003 Commun. Math. Phys. 281, No. 2, 369-385 (2008). MSC: 78A25 57R65 PDF BibTeX XML Cite \textit{A. Greenleaf} et al., Commun. Math. Phys. 281, No. 2, 369--385 (2008; Zbl 1161.78003) Full Text: DOI arXiv OpenURL
DeTurck, Dennis; Gluck, Herman Electrodynamics and the Gauss linking integral on the 3-sphere and in hyperbolic 3-space. (English) Zbl 1153.81348 J. Math. Phys. 49, No. 2, 023504, 35 p. (2008). MSC: 53C80 78A35 57M25 53A99 PDF BibTeX XML Cite \textit{D. DeTurck} and \textit{H. Gluck}, J. Math. Phys. 49, No. 2, 023504, 35 p. (2008; Zbl 1153.81348) Full Text: DOI arXiv OpenURL
Long, Eamonn Existence and stability of solitary waves in non-linear Klein–Gordon–Maxwell equations. (English) Zbl 1169.78003 Rev. Math. Phys. 18, No. 7, 747-779 (2006). MSC: 78A25 35A05 35Q51 37K40 81Q05 35Q60 57S20 PDF BibTeX XML Cite \textit{E. Long}, Rev. Math. Phys. 18, No. 7, 747--779 (2006; Zbl 1169.78003) Full Text: DOI OpenURL
von Bodecker, Hanno; Hornig, Gunnar Link invariants of electromagnetic fields. (English) Zbl 1267.78004 Phys. Rev. Lett. 92, No. 3, Article ID030406, 4 p. (2004). MSC: 78A25 57M27 PDF BibTeX XML Cite \textit{H. von Bodecker} and \textit{G. Hornig}, Phys. Rev. Lett. 92, No. 3, Article ID030406, 4 p. (2004; Zbl 1267.78004) Full Text: DOI OpenURL
Zakalyukin, Vladimir Simple coisotropic projections and caustics. (English) Zbl 1032.58026 Casacuberta, Carles (ed.) et al., 3rd European congress of mathematics (ECM), Barcelona, Spain, July 10-14, 2000. Volume II. Basel: Birkhäuser. Prog. Math. 202, 575-582 (2001). Reviewer: Stanislaw Janeczko (Warszawa) MSC: 58K35 53D12 57R45 78A05 PDF BibTeX XML Cite \textit{V. Zakalyukin}, Prog. Math. 202, 575--582 (2001; Zbl 1032.58026) OpenURL
Cantarella, Jason; DeTurck, Dennis; Gluck, Herman Upper bounds for the writhing of knots and the helicity of vector fields. (English) Zbl 1006.57008 Gilman, Jane (ed.) et al., Knots, braids, and mapping class groups - papers dedicated to Joan S. Birman. Proceedings of a conference in low dimensional topology in honor of Joan S. Birman’s 70th birthday, New York, NY, USA, March 14-15, 1998. Providence, RI: American Mathematical Society (AMS). AMS/IP Stud. Adv. Math. 24, 1-21 (2001). MSC: 57M99 57R25 57M25 92D99 78A25 58J50 58J99 35P99 PDF BibTeX XML Cite \textit{J. Cantarella} et al., AMS/IP Stud. Adv. Math. 24, 1--21 (2001; Zbl 1006.57008) OpenURL
Cantarella, Jason; DeTurck, Dennis; Gluck, Herman The Biot-Savart operator for application to knot theory, fluid dynamics, and plasma physics. (English) Zbl 1006.78003 J. Math. Phys. 42, No. 2, 876-905 (2001). MSC: 78A25 57M25 76W05 PDF BibTeX XML Cite \textit{J. Cantarella} et al., J. Math. Phys. 42, No. 2, 876--905 (2001; Zbl 1006.78003) Full Text: DOI OpenURL
Dynnikov, I. A. The geometry of the stability regions in Novikov’s problem on the semiclassical motion of an electron. (English. Russian original) Zbl 0935.57040 Russ. Math. Surv. 54, No. 1, 21-59 (1999); translation from Usp. Mat. Nauk 54, No. 1, 21-60 (1999). Reviewer: Yuli Rudyak (Bonn) MSC: 57R70 78A35 57R30 81Q20 81V10 58E05 PDF BibTeX XML Cite \textit{I. A. Dynnikov}, Russ. Math. Surv. 54, No. 1, 21--59 (1999; Zbl 0935.57040); translation from Usp. Mat. Nauk 54, No. 1, 21--60 (1999) Full Text: DOI OpenURL
Lee, Cullen E. Singularities in the transverse electromagnetic field of a compact source. (English) Zbl 0930.35170 Proc. R. Soc. Lond., Ser. A, Math. Phys. Eng. Sci. 455, No. 1983, 943-960 (1999). MSC: 35Q60 78A25 57R30 PDF BibTeX XML Cite \textit{C. E. Lee}, Proc. R. Soc. Lond., Ser. A, Math. Phys. Eng. Sci. 455, No. 1983, 943--960 (1999; Zbl 0930.35170) Full Text: DOI OpenURL
Gottlieb, Daniel Henry Skew symmetric bundle maps. (English) Zbl 0920.53033 Mahowald, Mark (ed.) et al., Homotopy theory via algebraic geometry and group representations. Proceedings of a conference on homotopy theory, Evanston, IL, USA, March 23–27, 1997. Providence, RI: American Mathematical Society. Contemp. Math. 220, 117-141 (1998). Reviewer: V.Oproiu (Iaşi) MSC: 53C50 83C50 57R22 58D30 78A25 PDF BibTeX XML Cite \textit{D. H. Gottlieb}, Contemp. Math. 220, 117--141 (1998; Zbl 0920.53033) OpenURL
Bogaevski, Ilia A. Singularities of short linear waves on the plane. (English) Zbl 0873.58011 Arnold, V. I. (ed.) et al., The Arnold-Gelfand mathematical seminars: geometry and singularity theory. Boston, MA: Birkhäuser. 107-112 (1997). Reviewer: G.Ishikawa (Sapporo) MSC: 58C25 58K99 37J99 57R45 78A05 PDF BibTeX XML Cite \textit{I. A. Bogaevski}, in: The Arnold-Gelfand mathematical seminars. Boston, MA: Birkhäuser. 107--112 (1997; Zbl 0873.58011) OpenURL
Lomonaco, Samuel J. jun. The modern legacies of Thomson’s atomic vortex theory in classical electrodynamics. (English) Zbl 0844.57002 Kauffman, Louis H. (ed.), The interface of knots and physics. American Mathematical Society short course, January 2-3, 1995, San Francisco, CA, USA. Providence, RI: American Mathematical Society. Proc. Symp. Appl. Math. 51, 145-166 (1996). MSC: 57M25 57-02 78-02 78A30 76W05 53C80 01-02 78-03 45K05 22E70 PDF BibTeX XML Cite \textit{S. J. Lomonaco jun.}, Proc. Symp. Appl. Math. 51, 145--166 (1996; Zbl 0844.57002) OpenURL
Akhmetiev, Peter; Ruzmaikin, Alexander A fourth-order topological invariant of magnetic or vortex lines. (English) Zbl 0836.57005 J. Geom. Phys. 15, No. 2, 95-101 (1995). MSC: 57M25 76B47 78A25 PDF BibTeX XML Cite \textit{P. Akhmetiev} and \textit{A. Ruzmaikin}, J. Geom. Phys. 15, No. 2, 95--101 (1995; Zbl 0836.57005) Full Text: DOI OpenURL
Rañada, Antonio F.; Trueba, José L. Electromagnetic knots. (English) Zbl 1020.78503 Phys. Lett., A 202, No. 5-6, 337-342 (1995). MSC: 78A40 57M25 PDF BibTeX XML Cite \textit{A. F. Rañada} and \textit{J. L. Trueba}, Phys. Lett., A 202, No. 5--6, 337--342 (1995; Zbl 1020.78503) Full Text: DOI OpenURL
Rañada, Antonio F. Topological electromagnetism. (English) Zbl 0747.57013 J. Phys. A, Math. Gen. 25, No. 6, 1621-1641 (1992). MSC: 57R99 78A25 81Q99 55Q40 55M25 PDF BibTeX XML Cite \textit{A. F. Rañada}, J. Phys. A, Math. Gen. 25, No. 6, 1621--1641 (1992; Zbl 0747.57013) Full Text: DOI OpenURL
Morandi, Giuseppe The role of topology in classical and quantum physics. (English) Zbl 0773.57016 Lecture Notes in Physics. New Series m: Monographs. 7. Berlin: Springer- Verlag. xiii, 239 p. (1992). Reviewer: J.Huebschmann (Villeneuve d’Ascq) MSC: 57R99 58Z05 53C80 78A99 81Q99 PDF BibTeX XML Cite \textit{G. Morandi}, The role of topology in classical and quantum physics. Berlin: Springer-Verlag (1992; Zbl 0773.57016) OpenURL
Parmantier, J. P.; Labaune, G.; Alliot, J. C.; Degauque, P. Topologie électromagnétique: Méthodes de caractérisation de jonctions. (Electromagnetic topology: Junction characterization methods). (French) Zbl 0708.73060 Rech. Aérosp. 1990, No. 5, 71-82 (1990). MSC: 74F15 78A25 57R99 PDF BibTeX XML Cite \textit{J. P. Parmantier} et al., Rech. Aérosp. 1990, No. 5, 71--82 (1990; Zbl 0708.73060) OpenURL
Parmantier, J. P.; Labaune, G.; Alliot, J. C.; Degauque, P. Electromagnetic coupling on complex systems: Topological approach. (Couplages électromagnétiques sur des systèmes complexes: Approche topologique.) (French) Zbl 0708.73059 Rech. Aérosp. 1990, No. 5, 57-70 (1990). MSC: 74F15 78A25 74E30 57R99 PDF BibTeX XML Cite \textit{J. P. Parmantier} et al., Rech. Aérosp. 1990, No. 5, 57--70 (1990; Zbl 0708.73059) OpenURL
Rañada, Antonio F. A topological theory of the electromagnetic field. (English) Zbl 0687.57015 Lett. Math. Phys. 18, No. 2, 97-106 (1989). Reviewer: A.F.Rañada MSC: 57R99 55Q05 78A25 81T99 58J90 PDF BibTeX XML Cite \textit{A. F. Rañada}, Lett. Math. Phys. 18, No. 2, 97--106 (1989; Zbl 0687.57015) Full Text: DOI OpenURL
Nash, Charles; Sen, Siddhartha Topology and geometry for physicists. Paperback ed. (English) Zbl 0666.53001 London etc.: Academic Press Inc. 328 p. £15.00 (1988). MSC: 53-01 55-01 57-01 14-01 81T08 81V10 78A25 53C80 PDF BibTeX XML Cite \textit{C. Nash} and \textit{S. Sen}, Topology and geometry for physicists. Paperback ed. London etc.: Academeic Press Inc. (1988; Zbl 0666.53001) OpenURL
Fidal, D. L.; Giblin, P. J. Generic 1-parameter families of caustics by reflexion in the plane. (English) Zbl 0561.58004 Math. Proc. Camb. Philos. Soc. 96, 425-432 (1984). Reviewer: V.Sobolev MSC: 58K35 57R45 78A05 PDF BibTeX XML Cite \textit{D. L. Fidal} and \textit{P. J. Giblin}, Math. Proc. Camb. Philos. Soc. 96, 425--432 (1984; Zbl 0561.58004) Full Text: DOI OpenURL
Bruce, J. W.; Giblin, P. J. One-parameter families of caustics by reflexion in the plane. (English) Zbl 0547.58013 Q. J. Math., Oxf. II. Ser. 35, 243-251 (1984). Reviewer: E.Heil MSC: 58K35 58A40 53A04 57R70 78A05 PDF BibTeX XML Cite \textit{J. W. Bruce} and \textit{P. J. Giblin}, Q. J. Math., Oxf. II. Ser. 35, 243--251 (1984; Zbl 0547.58013) Full Text: DOI OpenURL
Bruce, J. W.; Giblin, P. J.; Gibson, C. G. Caustics through the looking glass. (English) Zbl 0547.58012 Math. Intell. 6, No. 1, 47-58 (1984). Reviewer: E.Heil MSC: 58K35 58A40 78A05 57R70 PDF BibTeX XML Cite \textit{J. W. Bruce} et al., Math. Intell. 6, No. 1, 47--58 (1984; Zbl 0547.58012) Full Text: DOI OpenURL
Zorich, A. V. S. P. Novikov’s problem of the semiclassical motion of an electron in a homogeneous magnetic field that is close to rational. (English. Russian original) Zbl 0900.58031 Russ. Math. Surv. 39, No. 5, 287-288 (1984); translation from Usp. Mat. Nauk 39, No. 5(239), 235-236 (1984). MSC: 58D30 81Q20 57M50 78A35 PDF BibTeX XML Cite \textit{A. V. Zorich}, Russ. Math. Surv. 39, No. 5, 287--288 (1984; Zbl 0900.58031); translation from Usp. Mat. Nauk 39, No. 5(239), 235--236 (1984) Full Text: DOI OpenURL
Nash, Charles; Sen, Siddhartha Topology and geometry for physicists. (English) Zbl 0529.53001 London - New York etc.: Academic Press, a Subsidiary of Harcourt Brace Jovanovich, Publishers. X, 311 p. £25.00; $ 39.50 (1983). MSC: 53-01 55-01 57-01 14-01 78A25 81T08 81V10 53C80 PDF BibTeX XML OpenURL
Bruce, J. W.; Giblin, P. J.; Gibson, C. G. Genericity of caustics by reflexion. (English) Zbl 0519.58016 Singularities, Summer Inst., Arcata/Calif. 1981, Proc. Symp. Pure Math. 40, Part 1, 179-193 (1983). MSC: 58C25 58K99 78A05 57R45 58K35 PDF BibTeX XML OpenURL
Vasil’ev, V. A. Characteristic classes of Lagrangian and Legendre manifolds dual to singularities of caustics and wave fronts. (English) Zbl 0514.57004 Funct. Anal. Appl. 15, 164-173 (1982). MSC: 57R20 58C25 58K99 58K35 70H99 78A05 PDF BibTeX XML Cite \textit{V. A. Vasil'ev}, Funct. Anal. Appl. 15, 164--173 (1982; Zbl 0514.57004) Full Text: DOI OpenURL
Quiros, M.; Mittelbrunn, J. Ramirez; Rodriguez, E. On the topological meaning of magnetic charge quantization. (English) Zbl 0494.55008 J. Math. Phys. 23, 873-877 (1982). MSC: 55R10 53C80 81T20 57R20 81V10 78A25 PDF BibTeX XML Cite \textit{M. Quiros} et al., J. Math. Phys. 23, 873--877 (1982; Zbl 0494.55008) Full Text: DOI OpenURL
Duplantier, B. Linking numbers, contacts, and mutual inductances of a random set of closed curves. (English) Zbl 0485.53001 Commun. Math. Phys. 82, 41-68 (1981). MSC: 53A04 53C80 57M25 78A25 53C65 PDF BibTeX XML Cite \textit{B. Duplantier}, Commun. Math. Phys. 82, 41--68 (1981; Zbl 0485.53001) Full Text: DOI OpenURL
Brown, Robert F.; White, James H. Homology and Morse theory of third configuration spaces. (English) Zbl 0432.57012 Indiana Univ. Math. J. 30, 501-512 (1981). MSC: 57R70 57N65 58E05 57N05 78A35 PDF BibTeX XML Cite \textit{R. F. Brown} and \textit{J. H. White}, Indiana Univ. Math. J. 30, 501--512 (1981; Zbl 0432.57012) Full Text: DOI OpenURL
Poston, Tim; Stewart, Ian Catastrophe theory and its applications. (Teoriya katastrof i ee prilozheniya). Transl from the English. (Russian) Zbl 0548.58007 Moskva: Izdatel’stvo ”Mir”. 607 p. R. 3.50 (1980). MSC: 58K35 58-01 58-02 57R45 58E05 74G60 74K20 74K15 76B20 76B99 76U05 78A05 78A40 78A45 80A10 92B05 91D99 PDF BibTeX XML OpenURL
Gluck, Herman; Singer, David Scattering of geodesic fields, I. (English) Zbl 0399.58011 Ann. Math. (2) 108, 347-372 (1978). MSC: 37D40 53D25 53C20 53C22 57R30 58D17 78A05 PDF BibTeX XML Cite \textit{H. Gluck} and \textit{D. Singer}, Ann. Math. (2) 108, 347--372 (1978; Zbl 0399.58011) Full Text: DOI OpenURL
Poston, Tim; Stewart, Ian Catastrophe theory and its applications. (English) Zbl 0382.58006 Surveys and Reference Works in Mathematics. 2. London - San Francisco - Melbourne: Pitman. XVIII, 491 p. £25.00 (1978). MSC: 58K35 57R45 58-01 58-02 58E05 74G60 74K20 74K15 76B20 76B99 76U05 78A05 78A40 78A45 80A10 92B05 91D99 PDF BibTeX XML OpenURL