Wang, Haoran Improved time-decay for a class of many-magnetic Schrödinger flows. (English) Zbl 07799721 J. Math. Anal. Appl. 533, No. 2, Article ID 128024, 9 p. (2024). MSC: 35Q55 35Q60 78A30 81Q70 81Q10 35J10 42B37 PDFBibTeX XMLCite \textit{H. Wang}, J. Math. Anal. Appl. 533, No. 2, Article ID 128024, 9 p. (2024; Zbl 07799721) Full Text: DOI arXiv
Drezet, Aurélien Quantum solitodynamics: non-linear wave mechanics and pilot-wave theory. (English) Zbl 1526.35269 Found. Phys. 53, No. 1, Paper No. 31, 45 p. (2023). Reviewer: Joseph Shomberg (Providence) MSC: 35Q40 35Q55 35Q41 35C08 81P05 81Q70 81P20 81P40 81Q65 PDFBibTeX XMLCite \textit{A. Drezet}, Found. Phys. 53, No. 1, Paper No. 31, 45 p. (2023; Zbl 1526.35269) Full Text: DOI arXiv
Avramska-Lukarska, Silvana; Hundertmark, Dirk; Kovařík, Hynek Absence of positive eigenvalues of magnetic Schrödinger operators. (English) Zbl 1515.35225 Calc. Var. Partial Differ. Equ. 62, No. 2, Paper No. 63, 66 p. (2023). Reviewer: Markus Holzmann (Graz) MSC: 35Q40 35P05 81Q70 PDFBibTeX XMLCite \textit{S. Avramska-Lukarska} et al., Calc. Var. Partial Differ. Equ. 62, No. 2, Paper No. 63, 66 p. (2023; Zbl 1515.35225) Full Text: DOI arXiv
Wang, Guangwu; Guo, Boling Global weak solution to the degenerate quantum Navier-Stokes-Maxwell equations with damping term. (English) Zbl 07815570 ZAMM, Z. Angew. Math. Mech. 102, No. 6, Article ID e201800219, 37 p. (2022). MSC: 35Q35 35Q61 76N10 81Q70 35D30 35B65 35A01 35A02 PDFBibTeX XMLCite \textit{G. Wang} and \textit{B. Guo}, ZAMM, Z. Angew. Math. Mech. 102, No. 6, Article ID e201800219, 37 p. (2022; Zbl 07815570) Full Text: DOI
Gay-Balmaz, François; Tronci, Cesare Evolution of hybrid quantum-classical wavefunctions. (English) Zbl 1511.81053 Physica D 440, Article ID 133450, 19 p. (2022). MSC: 81Q20 81R20 47A68 81P16 81Q70 35Q92 PDFBibTeX XMLCite \textit{F. Gay-Balmaz} and \textit{C. Tronci}, Physica D 440, Article ID 133450, 19 p. (2022; Zbl 1511.81053) Full Text: DOI arXiv
Barletti, Luigi; Holzinger, Philipp; Jüngel, Ansgar Formal derivation of quantum drift-diffusion equations with spin-orbit interaction. (English) Zbl 1498.35539 Kinet. Relat. Models 15, No. 2, 257-282 (2022). Reviewer: Dimitar A. Kolev (Sofia) MSC: 35Q81 35Q40 35Q82 35K55 82B10 82D37 82C40 81Q70 PDFBibTeX XMLCite \textit{L. Barletti} et al., Kinet. Relat. Models 15, No. 2, 257--282 (2022; Zbl 1498.35539) Full Text: DOI arXiv
Schindler, Ian; Tintarev, Cyril Existence in the nonlinear Schrödinger equation with bounded magnetic field. (English) Zbl 07514292 NoDEA, Nonlinear Differ. Equ. Appl. 29, No. 3, Paper No. 33, 14 p. (2022). Reviewer: Mustafa Moumni (Batna) MSC: 35Q40 35Q55 35Q60 35J20 35J61 46B50 35B38 35B36 81Q70 49J20 35A01 PDFBibTeX XMLCite \textit{I. Schindler} and \textit{C. Tintarev}, NoDEA, Nonlinear Differ. Equ. Appl. 29, No. 3, Paper No. 33, 14 p. (2022; Zbl 07514292) Full Text: DOI arXiv
Lu, Jianfeng; Zhang, Zihang; Zhou, Zhennan Bloch dynamics with second order Berry phase correction. (English) Zbl 1516.35350 Asymptotic Anal. 128, No. 1, 55-84 (2022). Reviewer: Markus Holzmann (Graz) MSC: 35Q40 35Q55 35Q41 81Q70 81Q20 35B40 PDFBibTeX XMLCite \textit{J. Lu} et al., Asymptotic Anal. 128, No. 1, 55--84 (2022; Zbl 1516.35350) Full Text: DOI arXiv
Ingremeau, Maxime; Rivera, Alejandro How Lagrangian states evolve into random waves. (Comment les états Lagrangiens évoluent en ondes aléatoires.) (English. French summary) Zbl 1491.35361 J. Éc. Polytech., Math. 9, 177-212 (2022). MSC: 35Q40 35Q41 35P99 81Q20 81Q70 81Q50 PDFBibTeX XMLCite \textit{M. Ingremeau} and \textit{A. Rivera}, J. Éc. Polytech., Math. 9, 177--212 (2022; Zbl 1491.35361) Full Text: DOI arXiv
Inoue, Tomonori; Sakamoto, Makoto; Ueba, Inori Instantons and Berry’s connections on quantum graph. (English) Zbl 1505.81044 J. Phys. A, Math. Theor. 54, No. 35, Article ID 355301, 18 p. (2021). MSC: 81Q35 81Q70 14D21 PDFBibTeX XMLCite \textit{T. Inoue} et al., J. Phys. A, Math. Theor. 54, No. 35, Article ID 355301, 18 p. (2021; Zbl 1505.81044) Full Text: DOI arXiv
Eshghi, Mahdi; Azar, Ismaeil Ahmadi; Soudi, Sasan Schrödinger equation based analytic assessment of thermal properties of confined electrons under vector and scalar fields. (English) Zbl 1497.35430 Math. Methods Appl. Sci. 44, No. 17, 12774-12796 (2021). MSC: 35Q55 35Q40 81Q70 81Q35 81Q05 35R01 PDFBibTeX XMLCite \textit{M. Eshghi} et al., Math. Methods Appl. Sci. 44, No. 17, 12774--12796 (2021; Zbl 1497.35430) Full Text: DOI
Bonheure, Denis; Dolbeault, Jean; Esteban, Maria J.; Laptev, Ari; Loss, Michael Inequalities involving Aharonov-Bohm magnetic potentials in dimensions \(2\) and \(3\). (English) Zbl 1499.81058 Rev. Math. Phys. 33, No. 3, Article ID 2150006, 29 p. (2021). MSC: 81Q70 81Q10 35Q60 35Q40 49K30 35P30 35J10 35Q55 46N50 35J20 PDFBibTeX XMLCite \textit{D. Bonheure} et al., Rev. Math. Phys. 33, No. 3, Article ID 2150006, 29 p. (2021; Zbl 1499.81058) Full Text: DOI arXiv
Ohya, Satoshi Models for the BPS Berry connection. (English) Zbl 1456.81208 Mod. Phys. Lett. A 36, No. 2, Article ID 2150007, 11 p. (2021). MSC: 81Q70 81Q60 81V60 81T13 PDFBibTeX XMLCite \textit{S. Ohya}, Mod. Phys. Lett. A 36, No. 2, Article ID 2150007, 11 p. (2021; Zbl 1456.81208) Full Text: DOI arXiv
Gonzalez, Diego; Gutiérrez-Ruiz, Daniel; David Vergara, J. Phase space formulation of the abelian and non-abelian quantum geometric tensor. (English) Zbl 1519.81254 J. Phys. A, Math. Theor. 53, No. 50, Article ID 505305, 23 p. (2020). MSC: 81Q70 81S30 81T40 PDFBibTeX XMLCite \textit{D. Gonzalez} et al., J. Phys. A, Math. Theor. 53, No. 50, Article ID 505305, 23 p. (2020; Zbl 1519.81254) Full Text: DOI arXiv
Koizumi, Hiroyasu; Ishikawa, Alto Theory of supercurrent in superconductors. (English) Zbl 1454.82052 Int. J. Mod. Phys. B 34, No. 31, Article ID 2030001, 42 p. (2020). MSC: 82D55 81Q70 PDFBibTeX XMLCite \textit{H. Koizumi} and \textit{A. Ishikawa}, Int. J. Mod. Phys. B 34, No. 31, Article ID 2030001, 42 p. (2020; Zbl 1454.82052) Full Text: DOI arXiv
Chen, Zeqian Observable-geometric phases and quantum computation. (English) Zbl 1435.81084 Int. J. Theor. Phys. 59, No. 4, 1255-1276 (2020). MSC: 81Q70 81P68 PDFBibTeX XMLCite \textit{Z. Chen}, Int. J. Theor. Phys. 59, No. 4, 1255--1276 (2020; Zbl 1435.81084) Full Text: DOI arXiv
Cornean, Horia D.; Gontier, David; Levitt, Antoine; Monaco, Domenico Localised Wannier functions in metallic systems. (English) Zbl 1412.35280 Ann. Henri Poincaré 20, No. 4, 1367-1391 (2019). MSC: 35Q40 81Q30 81Q70 82D35 PDFBibTeX XMLCite \textit{H. D. Cornean} et al., Ann. Henri Poincaré 20, No. 4, 1367--1391 (2019; Zbl 1412.35280) Full Text: DOI arXiv
Sun, Xin Application of connection in molecular dynamics. (English) Zbl 1391.81088 Commun. Theor. Phys. 69, No. 3, 308-310. (2018). MSC: 81Q70 81V55 PDFBibTeX XMLCite \textit{X. Sun}, Commun. Theor. Phys. 69, No. 3, 308--310. (2018; Zbl 1391.81088) Full Text: DOI
Monaco, Domenico; Tauber, Clément Gauge-theoretic invariants for topological insulators: a bridge between Berry, Wess-Zumino, and Fu-Kane-Mele. (English) Zbl 1370.35093 Lett. Math. Phys. 107, No. 7, 1315-1343 (2017). MSC: 35J10 81Q30 81Q70 PDFBibTeX XMLCite \textit{D. Monaco} and \textit{C. Tauber}, Lett. Math. Phys. 107, No. 7, 1315--1343 (2017; Zbl 1370.35093) Full Text: DOI arXiv
Nagy, Ákos The Berry connection of the Ginzburg-Landau vortices. (English) Zbl 1362.35291 Commun. Math. Phys. 350, No. 1, 105-128 (2017). Reviewer: Thomas Ernst (Uppsala) MSC: 35Q56 35B40 82D55 PDFBibTeX XMLCite \textit{Á. Nagy}, Commun. Math. Phys. 350, No. 1, 105--128 (2017; Zbl 1362.35291) Full Text: DOI arXiv
Panzhenskii, V. I.; Surina, O. P. Finsler generalization of the Tamm metric. (English. Russian original) Zbl 1361.81109 Theor. Math. Phys. 189, No. 2, 1563-1573 (2016); translation from Teor. Mat. Fiz. 189, No. 2, 186-197 (2016). MSC: 81T20 81Q70 53B40 53C05 53C22 53B50 PDFBibTeX XMLCite \textit{V. I. Panzhenskii} and \textit{O. P. Surina}, Theor. Math. Phys. 189, No. 2, 1563--1573 (2016; Zbl 1361.81109); translation from Teor. Mat. Fiz. 189, No. 2, 186--197 (2016) Full Text: DOI
Zucchini, Roberto On higher holonomy invariants in higher gauge theory. II. (English) Zbl 1364.81197 Int. J. Geom. Methods Mod. Phys. 13, No. 7, Article ID 1650091, 22 p. (2016). Reviewer: Vida Milani (North Logan) MSC: 81T20 81Q70 81T13 57M25 57M27 14F35 14F40 PDFBibTeX XMLCite \textit{R. Zucchini}, Int. J. Geom. Methods Mod. Phys. 13, No. 7, Article ID 1650091, 22 p. (2016; Zbl 1364.81197) Full Text: DOI arXiv
Molitor, Mathieu Exponential families, Kähler geometry and quantum mechanics. (English) Zbl 1283.53072 J. Geom. Phys. 70, 54-80 (2013). MSC: 53C80 53C55 81Q70 62B10 PDFBibTeX XMLCite \textit{M. Molitor}, J. Geom. Phys. 70, 54--80 (2013; Zbl 1283.53072) Full Text: DOI arXiv
E, Weinan; Lu, Jian-feng; Yang, Xu Asymptotic analysis of quantum dynamics in crystals: the Bloch-Wigner transform, Bloch dynamics and Berry phase. (English) Zbl 1278.81084 Acta Math. Appl. Sin., Engl. Ser. 29, No. 3, 465-476 (2013). MSC: 81Q20 81Q05 35Q40 81Q70 81V70 PDFBibTeX XMLCite \textit{W. E} et al., Acta Math. Appl. Sin., Engl. Ser. 29, No. 3, 465--476 (2013; Zbl 1278.81084) Full Text: DOI
Koizumi, Hiroyasu Persistent current generation by a Berry phase. (English) Zbl 1206.81051 J. Phys. A, Math. Theor. 43, No. 35, Article ID 354009, 13 p. (2010). Reviewer: I. A. Parinov (Rostov-na-Donu) MSC: 81Q70 82D55 81Q05 PDFBibTeX XMLCite \textit{H. Koizumi}, J. Phys. A, Math. Theor. 43, No. 35, Article ID 354009, 13 p. (2010; Zbl 1206.81051) Full Text: DOI
Eskin, G. Optical Aharonov-Bohm effect: an inverse hyperbolic problems approach. (English) Zbl 1193.58014 Commun. Math. Phys. 284, No. 2, 317-343 (2008). Reviewer: Jean-Marc Bouclet (Toulouse) MSC: 58J45 81Q70 35Q40 35R30 PDFBibTeX XMLCite \textit{G. Eskin}, Commun. Math. Phys. 284, No. 2, 317--343 (2008; Zbl 1193.58014) Full Text: DOI arXiv
Melli, Juan B.; Rowley, Clarence W.; Rufat, Dzhelil S. Motion planning for an articulated body in a perfect planar fluid. (English) Zbl 1210.81041 SIAM J. Appl. Dyn. Syst. 5, No. 4, 650-669 (2006). MSC: 81Q70 53C29 55R10 PDFBibTeX XMLCite \textit{J. B. Melli} et al., SIAM J. Appl. Dyn. Syst. 5, No. 4, 650--669 (2006; Zbl 1210.81041) Full Text: DOI Link
Ito, Hiroshi T.; Tamura, Hideo Semiclassical analysis for magnetic scattering by two solenoidal fields. (English) Zbl 1109.81034 J. Lond. Math. Soc., II. Ser. 74, No. 3, 695-716 (2006). MSC: 81Q20 81Q70 81U99 35P25 35Q40 PDFBibTeX XMLCite \textit{H. T. Ito} and \textit{H. Tamura}, J. Lond. Math. Soc., II. Ser. 74, No. 3, 695--716 (2006; Zbl 1109.81034) Full Text: DOI
Aguilar, M. A.; Isidro, J. M.; Socolovsky, M. Moduli space of potentials in the Aharonov-Bohm effect. (English) Zbl 1169.81336 Adv. Appl. Clifford Algebr. 14, No. 1, 179-184 (2004). MSC: 81Q70 53C07 53C80 57N16 PDFBibTeX XMLCite \textit{M. A. Aguilar} et al., Adv. Appl. Clifford Algebr. 14, No. 1, 179--184 (2004; Zbl 1169.81336) Full Text: DOI
Lisok, A. L.; Trifonov, A. Yu.; Shapovalov, A. V. The evolution operator of the Hartree-type equation with a quadratic potential. (English) Zbl 1051.35060 J. Phys. A, Math. Gen. 37, No. 16, 4535-4556 (2004). MSC: 35Q40 81Q05 35Q55 81Q20 81Q70 PDFBibTeX XMLCite \textit{A. L. Lisok} et al., J. Phys. A, Math. Gen. 37, No. 16, 4535--4556 (2004; Zbl 1051.35060) Full Text: DOI arXiv
Pati, Arun K. Geometric phases for mixed states during unitary and non-unitary evolutions. (English) Zbl 1069.81513 Int. J. Quantum Inf. 1, No. 1, 135-152 (2003). MSC: 81P68 81Q70 47B65 PDFBibTeX XMLCite \textit{A. K. Pati}, Int. J. Quantum Inf. 1, No. 1, 135--152 (2003; Zbl 1069.81513) Full Text: DOI
Aguilar, M. A.; Socolovsky, M. Aharonov–Bohm effect, flat connections, and Green’s theorem. (English) Zbl 1001.81031 Int. J. Theor. Phys. 41, No. 5, 839-860 (2002). Reviewer: Paninjukunnath Achuthan (Chennai) MSC: 81Q70 53C29 83C60 PDFBibTeX XMLCite \textit{M. A. Aguilar} and \textit{M. Socolovsky}, Int. J. Theor. Phys. 41, No. 5, 839--860 (2002; Zbl 1001.81031) Full Text: DOI
Berry, M. V.; Dennis, M. R. Knotting and unknotting of phase singularities: Helmholtz waves, paraxial waves and waves in \(2+1\) spacetime. (English) Zbl 0997.35097 J. Phys. A, Math. Gen. 34, No. 42, 8877-8888 (2001). MSC: 35Q60 35J05 78A60 81Q70 PDFBibTeX XMLCite \textit{M. V. Berry} and \textit{M. R. Dennis}, J. Phys. A, Math. Gen. 34, No. 42, 8877--8888 (2001; Zbl 0997.35097) Full Text: DOI
Spohn, Herbert; Teufel, Stefan Adiabatic decoupling and time-dependent Born-Oppenheimer theory. (English) Zbl 1017.81014 Commun. Math. Phys. 224, No. 1, 113-132 (2001). Reviewer: Michael Perelmuter (Kyïv) MSC: 81Q20 81V55 81Q70 47N50 PDFBibTeX XMLCite \textit{H. Spohn} and \textit{S. Teufel}, Commun. Math. Phys. 224, No. 1, 113--132 (2001; Zbl 1017.81014) Full Text: DOI arXiv
Corach, Gustavo; Maestripieri, Alejandra L. Geometry of positive operators and Uhlmann’s approach to the geometric phase. (English) Zbl 0978.81037 Rep. Math. Phys. 47, No. 2, 287-299 (2001). MSC: 81Q70 81R15 58B99 PDFBibTeX XMLCite \textit{G. Corach} and \textit{A. L. Maestripieri}, Rep. Math. Phys. 47, No. 2, 287--299 (2001; Zbl 0978.81037) Full Text: DOI
Berry, M. V.; Dennis, M. R. Phase singularities in isotropic random waves. (English) Zbl 0978.35072 Proc. R. Soc. Lond., Ser. A, Math. Phys. Eng. Sci. 456, No. 2001, 2059-2079 (2000). MSC: 35Q60 78A40 81Q70 PDFBibTeX XMLCite \textit{M. V. Berry} and \textit{M. R. Dennis}, Proc. R. Soc. Lond., Ser. A, Math. Phys. Eng. Sci. 456, No. 2001, 2059--2079 (2000; Zbl 0978.35072) Full Text: DOI Link
Maamache, M. Unitary transformation approach to the exact solution for a class of time-dependent nonlinear Hamiltonian systems. (English) Zbl 0908.35110 J. Math. Phys. 39, No. 1, 161-169 (1998). MSC: 35Q40 81Q05 58J72 PDFBibTeX XMLCite \textit{M. Maamache}, J. Math. Phys. 39, No. 1, 161--169 (1998; Zbl 0908.35110) Full Text: DOI
Saradzhev, Fuad M. Berry phase in generalized chiral \(\text{QED}_2\). (English) Zbl 0939.81005 J. Phys. A, Math. Gen. 30, No. 6, 2219-2233 (1997). MSC: 81Q70 81V10 81T13 81T40 PDFBibTeX XMLCite \textit{F. M. Saradzhev}, J. Phys. A, Math. Gen. 30, No. 6, 2219--2233 (1997; Zbl 0939.81005) Full Text: DOI arXiv
Lai, Y.-Z.; Liang, J.-Q.; Müller-Kirsten, H. J. W.; Zhou, Jiange Time evolution of quantum systems with time-dependent Hamiltonian and the invariant Hermitian operator. (English) Zbl 0914.35109 J. Phys. A, Math. Gen. 29, No. 8, 1773-1783 (1996). MSC: 35Q40 81Q05 81V80 81R30 PDFBibTeX XMLCite \textit{Y. Z. Lai} et al., J. Phys. A, Math. Gen. 29, No. 8, 1773--1783 (1996; Zbl 0914.35109) Full Text: DOI
Maderner, W. Adiabatic connection and Schwinger term for two-dimensional Majorana-Weyl fermions in static background geometries. (English) Zbl 0845.53053 Rep. Math. Phys. 34, No. 2, 181-210 (1994). Reviewer: M.Kummer (Toledo) MSC: 53Z05 81T10 PDFBibTeX XMLCite \textit{W. Maderner}, Rep. Math. Phys. 34, No. 2, 181--210 (1994; Zbl 0845.53053) Full Text: DOI
Wu, Yihren On the quantization of the planar \(N\)-point vortex problem. (English) Zbl 0774.76020 J. Math. Phys. 34, No. 6, 2342-2352 (1993). MSC: 76B47 58D30 81S99 PDFBibTeX XMLCite \textit{Y. Wu}, J. Math. Phys. 34, No. 6, 2342--2352 (1993; Zbl 0774.76020) Full Text: DOI
Papadopoulos, George A generalization of Berry’s connection. (English) Zbl 0769.58059 J. Phys. A, Math. Gen. 25, No. 7, 2071-2076 (1992). Reviewer: R.Schmid (Atlanta) MSC: 58Z05 81Q10 PDFBibTeX XMLCite \textit{G. Papadopoulos}, J. Phys. A, Math. Gen. 25, No. 7, 2071--2076 (1992; Zbl 0769.58059) Full Text: DOI
Bohm, Arno; Boya, Luis J.; Kendrick, Brian On the uniqueness of the Berry connection. (English) Zbl 0768.57016 J. Math. Phys. 33, No. 7, 2528-2532 (1992). MSC: 57R99 81Q99 53C05 55R10 PDFBibTeX XMLCite \textit{A. Bohm} et al., J. Math. Phys. 33, No. 7, 2528--2532 (1992; Zbl 0768.57016) Full Text: DOI
Kvitsinsky, Andrei; Putterman, Seth Adiabatic evolution of an irreversible two level system. (English) Zbl 0736.35089 J. Math. Phys. 32, No. 5, 1403-1407 (1991). MSC: 35Q40 PDFBibTeX XMLCite \textit{A. Kvitsinsky} and \textit{S. Putterman}, J. Math. Phys. 32, No. 5, 1403--1407 (1991; Zbl 0736.35089) Full Text: DOI
Giavarini, G.; Onofri, E. Vector coherent states and non-Abelian gauge structures in quantum mechanics. (English) Zbl 0733.22014 Int. J. Mod. Phys. A 5, No. 22, 4311-4331 (1990). Reviewer: J.Asch (Berlin) MSC: 22E70 81R30 35Q40 PDFBibTeX XMLCite \textit{G. Giavarini} and \textit{E. Onofri}, Int. J. Mod. Phys. A 5, No. 22, 4311--4331 (1990; Zbl 0733.22014) Full Text: DOI
Brihaye, Y.; Giler, S.; Kosiński, P.; Maślanka, P. A note on non-integrable phases and coherent states. (English) Zbl 0715.35069 J. Phys. A, Math. Gen. 23, No. 11, 1985-1991 (1990). Reviewer: Y.Brihaye MSC: 35Q40 22E70 81Q05 PDFBibTeX XMLCite \textit{Y. Brihaye} et al., J. Phys. A, Math. Gen. 23, No. 11, 1985--1991 (1990; Zbl 0715.35069) Full Text: DOI
Weinstein, Alan Connections of Berry and Hannay type for moving Lagrangian submanifolds. (English) Zbl 0713.58015 Adv. Math. 82, No. 2, 133-159 (1990). Reviewer: J.Koiller MSC: 37J99 53C07 53C15 PDFBibTeX XMLCite \textit{A. Weinstein}, Adv. Math. 82, No. 2, 133--159 (1990; Zbl 0713.58015) Full Text: DOI
Bednarz, Bernard F. Geometric methods and the gauge structure of Berry’s phase. (English) Zbl 0723.35067 Int. J. Mod. Phys. A 4, No. 16, 4203-4211 (1989). Reviewer: J.Asch (Berlin) MSC: 35Q40 81Q99 PDFBibTeX XMLCite \textit{B. F. Bednarz}, Int. J. Mod. Phys. A 4, No. 16, 4203--4211 (1989; Zbl 0723.35067) Full Text: DOI
Mondragon, R. J.; Berry, M. V. The quantum phase 2-form near degeneracies: Two numerical studies. (English) Zbl 0706.35117 Proc. R. Soc. Lond., Ser. A 424, No. 1867, 263-278 (1989). Reviewer: J.Asch MSC: 35Q40 65N25 35P05 PDFBibTeX XMLCite \textit{R. J. Mondragon} and \textit{M. V. Berry}, Proc. R. Soc. Lond., Ser. A 424, No. 1867, 263--278 (1989; Zbl 0706.35117) Full Text: DOI
Avron, J. E.; Sadun, L.; Segert, J.; Simon, B. Chern numbers, quaternions, and Berry’s phases in Fermi systems. (English) Zbl 0830.57020 Commun. Math. Phys. 124, No. 4, 595-627 (1989). Reviewer: H.Hogreve (MR 91e:81029) MSC: 57R99 58J90 57R57 57R20 PDFBibTeX XMLCite \textit{J. E. Avron} et al., Commun. Math. Phys. 124, No. 4, 595--627 (1989; Zbl 0830.57020) Full Text: DOI