Berry phase and quantum structure

Holger Lyre1
1Philosophy Department, University of Magdeburg, Germany

Tài liệu tham khảo

Aharonov, 1987, Phase change during a cyclic quantum evolution, Physical Review Letters, 58, 1593, 10.1103/PhysRevLett.58.1593 Aharonov, 1959, Significance of electromagnetic potentials in the quantum theory, Physical Review, 115, 485, 10.1103/PhysRev.115.485 Anandan, 1992, The geometric phase, Nature, 360, 307, 10.1038/360307a0 Batterman, 2002 Batterman, 2003, Falling cats, parallel parking, and polarized light, Studies in History and Philosophy of Modern Physics, 34, 527, 10.1016/S1355-2198(03)00062-5 Batterman, 2010, On the explanatory role of mathematics in empirical science, The British Journal for the Philosophy of Science, 61, 1, 10.1093/bjps/axp018 Berry, 1984, Quantal phase factors accompanying adiabatic changes, Proceedings of the Royal Society of London A, 392, 45, 10.1098/rspa.1984.0023 Berry, 1990, Anticipations of the geometric phase, Physics Today, 12, 34, 10.1063/1.881219 Böhm, 1991, Derivation of the geometrical phase, Physical Review A, 43, 1206, 10.1103/PhysRevA.43.1206 Böhm, 1992, On the uniqueness of the berry connection, Journal of Mathematical Physics, 33, 2528, 10.1063/1.529571 Böhm, 2003 Boya, 1989, Rays and phases in quantum mechanics, Foundations of Physics Letters, 4, 283, 10.1007/BF00665760 Brown, 1999, Aspects of objectivity in quantum mechanics Chruściński, 2004 French, 2014 Hannay, 1985, Angle variable holonomy in adiabatic excursion of an integrable Hamiltonian, Journal of Physics A, 18, 221, 10.1088/0305-4470/18/2/011 Healey, 2007 Lyre, 2004, Holism and structuralism in U(1) gauge theory, Studies in History and Philosophy of Modern Physics, 35, 643, 10.1016/j.shpsb.2004.07.004 Lyre, 2012, Structural invariants, structural kinds, structural laws, 169 Kantorovich, 2003, The priority of internal symmetries in particle physics, Studies in History and Philosophy of Modern Physics, 34, 651, 10.1016/S1355-2198(03)00067-4 Page, 1987, Geometrical description of Berry׳s phase, Physical Review A, 36, 3479, 10.1103/PhysRevA.36.3479 Pancharatnam, 1956, Generalized theory of interference, and its applications. Part I. Coherent pencils, Proceedings of Indian Academy of Sciences A, 44, 247, 10.1007/BF03046050 Peshkin, M.A., & Tonomura, A. (1989). The Aharonov–Bohm effect. In: Lecture notes in physics, Vol. 340. Berlin: Springer. Roberts, 2011, Group structural realism, The British Journal for the Philosophy of Science, 61, 47, 10.1093/bjps/axq009 1989 Simon, 1983, Holonomy, the quantum adiabatic theorem, and Berry׳s phase, Physical Review Letters, 51, 2167, 10.1103/PhysRevLett.51.2167 Sjöqvist, 1997, Galilean noninvariance of geometric phase, Physics Letters A, 229, 273, 10.1016/S0375-9601(97)00214-4 Wu, 1975, Concept of nonintegrable phase factors and global formulation of gauge fields, Physical Review D, 12, 3845, 10.1103/PhysRevD.12.3845