Топологические фазы в квантовой механике и поляризационной оптике
С. И. Виницкий, В. Л. Дербов, В. М. Дубовик, Б. Л. Марковски, Ю. П. Степановский

Эта публикация цитируется в следующих статьяx:

1. Jeeban Kumar Nayak, Shyamal Guchhait, Ayan Banerjee, Subhasish Dutta Gupta, Nirmalya Ghosh, “Investigating spin-orbit interaction of light in micro- and nanophotonic systems using polarization Mueller matrix”, Applied Physics Letters, 126:3 (2025)  
2. Konstantin Y Bliokh, Zeyu Kuang, Stefan Rotter, “Dynamic and geometric shifts in wave scattering”, Rep. Prog. Phys., 88:10 (2025), 107901  
3. Ze-Lin Zhang, Ruo-Yu Liu, “The Twisting of Radio Waves in a Randomly Inhomogeneous Plasma”, ApJ, 975:2 (2024), 260  
4. Da-Jie Yang, Jing-Yi Wang, Ye-Qi Zhang, Qu-Quan Wang, “Interplay between Dynamic Phase and Geometric Phase Determines the Circular Dichroism and Helical Dichroism”, ACS Nano, 2024  
5. Yanke Li, Yu Zou, Sheng Liu, Peng Li, Bingyan Wei, Jianlin Zhao, “Linear and nonlinear photonic spin Hall effect induced by analog circular birefringence of Bessel-like beams”, Photon. Res., 11:9 (2023), 1553  
6. Pravin Kumar Dahal, “Covariant formulation of spin optics for electromagnetic waves”, Appl. Phys. B, 129:1 (2023)  
7. Thomas B. Mieling, Marius A. Oancea, “Polarization transport in optical fibers beyond Rytov's law”, Phys. Rev. Research, 5:2 (2023)  
8. Jun Yao, Yaqiang Qin, Yihua Bai, Mingsheng Gao, Lei-Ming Zhou, Jiafang Li, Yuqiang Jiang, Yuanjie Yang, “Generation of Optical Vortices by Diffraction from Circular Apertures”, ACS Photonics, 10:12 (2023), 4267  
9. Luis Garza-Soto, Nathan Hagen, Dorilian Lopez-Mago, “Deciphering Pancharatnam's discovery of geometric phase: retrospective”, J. Opt. Soc. Am. A, 40:5 (2023), 925  
10. Akash Das, Soumen Mandal, Ricardo A. Fiallo, Mark W. Horn, Akhlesh Lakhtakia, Manik Pradhan, “Geometric phase and photonic spin Hall effect in thin films with architected columnar morphology”, J. Opt. Soc. Am. B, 40:9 (2023), 2418  
11. Hiroyasu Koizumi, “Supercurrent and electromotive force generations by the Berry connection from many-body wave functions”, J. Phys. A: Math. Theor., 56:18 (2023), 185301  
12. Maxim Dvornikov, Geophysical Monograph Series, Helicities in Geophysics, Astrophysics, and Beyond, 2023, 117  
13. Pravin Kumar Dahal, The 2nd Electronic Conference on Universe, 2023, 40  
14. V Bosboom, M Kraus, M Schlottbom, “A metriplectic formulation of polarized radiative transfer”, J. Phys. A: Math. Theor., 56:34 (2023), 345206  
15. Li-Ping Yang, “Geometric phase for twisted light”, Opt. Express, 31:6 (2023), 10287  
16. Tong Wu, Huifang Zhang, Sivaloganathan Kumaran, Yuehong Xu, Qingwei Wang, Wladislaw Michailow, Xueqian Zhang, Harvey E. Beere, David A. Ritchie, Jiaguang Han, “All dielectric metasurfaces for spin-dependent terahertz wavefront control”, Photon. Res., 10:7 (2022), 1695  
17. C. Cisowski, J. B. Götte, S. Franke-Arnold, “Colloquium : Geometric phases of light: Insights from fiber bundle theory”, Rev. Mod. Phys., 94:3 (2022)  
18. Qing-Dong Jiang, A. Balatsky, “Geometric Induction in Chiral Superfluids”, Phys. Rev. Lett., 129:1 (2022)  
19. Shuoqing Liu, Shizhen Chen, Shuangchun Wen, Hailu Luo, “Photonic spin Hall effect: fundamentals and emergent applications”, OES, 1:7 (2022), 220007  
20. Jixiang Cai, Fei Zhang, Mingbo Pu, Ting Xie, Xingdong Feng, Honglin Yu, Xiangang Luo, “Broadband and high-efficiency photonic spin-Hall effect with all-metallic metasurfaces”, Opt. Express, 30:9 (2022), 14938  
21. Shoom A.A., “Gravitational Faraday and Spin-Hall Effects of Light”, Phys. Rev. D, 104:8 (2021), 084007    
22. Ruonan Ji, Xin Xie, Xuyue Guo, Yang Zhao, Chuan Jin, Kun Song, Shaowei Wang, Jianbo Yin, Yahong Liu, Chengming Jiang, Chaoshun Yang, Xiaopeng Zhao, Wei Lu, “Chirality-Assisted Aharonov–Anandan Geometric-Phase Metasurfaces for Spin-Decoupled Phase Modulation”, ACS Photonics, 8:6 (2021), 1847  
23. Fuxin Guan, Yue Hu, Xiaoyu Dai, Xiaohui Ling, Shaojie Ma, Jing Lin, Shaohua Dong, Yuanjiang Xiang, “Spin–orbit interactions in a nonlinear medium due to a nonlinear-induced geometric phase”, Opt. Lett., 46:11 (2021), 2758  
24. Xu-Dong Fan, Likun Zhang, “Acoustic orbital angular momentum Hall effect and realization using a metasurface”, Phys. Rev. Research, 3:1 (2021)  
25. K S Krylov, V D Mur, “Fractional values of orbital angular momentum in problems of classical physics”, J. Phys.: Conf. Ser., 1686:1 (2020), 012026  
26. Maxim Dvornikov, “Magnetic helicity in plasma of chiral fermions electroweakly interacting with inhomogeneous matter”, Nuclear Physics B, 955 (2020), 115049  
27. M. A. Davtyan, Z. S. Gevorkian, “Resonance Polarization Rotation in Photonic Crystals”, J. Contemp. Phys., 54:3 (2019), 267  
28. Ran Jiang, Qi Gao, Yun-Song Zhou, Li-Ming Zhao, Hua Gao, “Modulation of the SPP wave in helical metal waveguide by geometry phase”, EPL, 125:4 (2019), 44003  
29. Konstantin Y Bliokh, Miguel A Alonso, Mark R Dennis, “Geometric phases in 2D and 3D polarized fields: geometrical, dynamical, and topological aspects”, Rep. Prog. Phys., 82:12 (2019), 122401  
30. V. V. Val'kov, V. A. Mitskan, M. S. Shustin, “Ground-State Fermion Parity and Caloric Properties of a Superconducting Nanowire”, J. Exp. Theor. Phys., 129:3 (2019), 426  
31. Victor B. Semikoz, Maxim Dvornikov, “Generation of the relic neutrino asymmetry in a hot plasma of the early universe”, Int. J. Mod. Phys. D, 27:06 (2018), 1841008  
32. Г. Б. Малыкин, В. И. Позднякова, “Линейная трансформация поляризационных мод в намотанных на катушку spun-световодах с сильным невозмущенным линейным двулучепреломлением. I. Нерезонансная трансформация”, Оптика и спектроскопия, 124:3 (2018), 359–370    ; G. B. Malykin, V. I. Pozdnyakova, “Linear transformation of the polarization modes in coiled optical spun-fibers with strong unperturbed linear birefringence. I. Nonresonant transformation”, Optics and Spectroscopy, 124:3 (2018), 360–372    
33. G.M. Pritula, E.V. Petrenko, O.V. Usatenko, “Adiabatic dynamics of one-dimensional classical Hamiltonian dissipative systems”, Physics Letters A, 382:8 (2018), 548  
34. Liqiao Jing, Zuojia Wang, Yihao Yang, Lian Shen, Bin Zheng, Fei Gao, Huaping Wang, Erping Li, Hongsheng Chen, “Diodelike Spin-Orbit Interactions of Light in Chiral Metasurfaces”, IEEE Trans. Antennas Propagat., 66:12 (2018), 7148  
35. Shubo Wang, Guancong Ma, Che Ting Chan, “Topological transport of sound mediated by spin-redirection geometric phase”, Sci. Adv., 4:2 (2018)  
36. S. Ali Hassani Gangaraj, Mario G. Silveirinha, George W. Hanson, “Berry Phase, Berry Connection, and Chern Number for a Continuum Bianisotropic Material From a Classical Electromagnetics Perspective”, IEEE J. Multiscale Multiphys. Comput. Tech., 2 (2017), 3  
37. Shiyi Xiao, Jiarong Wang, Fu Liu, Shuang Zhang, Xiaobo Yin, Jensen Li, “Spin-dependent optics with metasurfaces”, Nanophotonics, 6:1 (2017), 215  
38. Yachao Liu, Yougang Ke, Hailu Luo, Shuangchun Wen, “Photonic spin Hall effect in metasurfaces: a brief review”, Nanophotonics, 6:1 (2017), 51  
39. M. S. Dvornikov, V. B. Semikoz, “Nonconservation of lepton current and asymmetry of relic neutrinos”, J. Exp. Theor. Phys., 124:5 (2017), 731  
40. Mushegh Rafayelyan, Etienne Brasselet, “Bragg-Berry mirrors: reflective broadband q-plates”, Opt. Lett., 41:17 (2016), 3972  
41. Mushegh Rafayelyan, Georgiy Tkachenko, Etienne Brasselet, “Reflective Spin-Orbit Geometric Phase from Chiral Anisotropic Optical Media”, Phys. Rev. Lett., 116:25 (2016)  
42. Victor V. Albert, Barry Bradlyn, Martin Fraas, Liang Jiang, “Geometry and Response of Lindbladians”, Phys. Rev. X, 6:4 (2016)  
43. V. E. Zobov, V. P. Shauro, “Effect of a phase factor on the minimum time of a quantum gate”, J. Exp. Theor. Phys., 118:1 (2014), 18  
44. V. M. Kontorovich, “Quantization of an electromagnetic tornado and the origin of bands in the spectrum of giant pulses from the Crab pulsar”, Astron. Lett., 40:12 (2014), 793  
45. В. К. Игнатович, “Фаза Берри для нейтрона”, УФН, 183:6 (2013), 631–632        ; V. K. Ignatovich, “The neutron Berry phase”, Phys. Usp., 56:6 (2013), 603–604      
46. G. B. Malykin, “A Method of É. Borel for calculation of the Thomas precession: The geometric phase in relativistic kinematic velocity space and its applications in optics”, Opt. Spectrosc., 114:2 (2013), 266  
47. P. S. Ignatyev, K. V. Indukaev, P. A. Osipov, I. K. Sergeev, “Laser Interference Microscopy for Nanobiotechnologies”, Biomed Eng, 47:1 (2013), 32  
48. K Y Bliokh, A Aiello, “Goos–Hänchen and Imbert–Fedorov beam shifts: an overview”, J. Opt., 15:1 (2013), 014001  
49. S K Suslov, “An analogue of the Berry phase for simple harmonic oscillators”, Phys. Scr., 87:3 (2013), 038118  
50. L. A. Sevastianov, A. A. Egorov, A. L. Sevastyanov, “Method of adiabatic modes in studying problems of smoothly irregular open waveguide structures”, Phys. Atom. Nuclei, 76:2 (2013), 224  
51. Ю. Н. Зайко, “История одного «Артефакта»”, Изв. Сарат. ун-та. Нов. cер. Сер. Физика, 12:1 (2012), 3–11    
52. K. Y. Bliokh, A. Aiello, M. A. Alonso, The Angular Momentum of Light, 2012, 174  
53. Yu. V. Kopaev, A. A. Gorbatsevich, V. I. Belyavskii, “Charge and spin topological insulators”, Crystallogr. Rep., 56:5 (2011), 848  
54. N. R. Sadykov, “Transformation of the vector part of the 4-momentum in the Dirac equation and in Maxwell's equations in Majorana form for chiral media”, Russ Phys J, 53:10 (2011), 989  
55. Г. Б. Малыкин, “Некоммутативность сложения неколлинеарных скоростей в специальной теории относительности и метод геометрической фазы (к столетию со дня публикации работы А. Зоммерфельда)”, УФН, 180:9 (2010), 965–969      ; G. B. Malykin, “Noncommutative nature of the addition of noncollinear velocities in special relativity and the geometric phase method (commemorating the publication centennial of A. Sommerfeld's work)”, Phys. Usp., 53:9 (2010), 923–927    
56. N. R. Sadykov, “Effect of polarization on a spin particle trajectory”, Russ Phys J, 52:7 (2009), 688  
57. Konstantin Y Bliokh, “Geometrodynamics of polarized light: Berry phase and spin Hall effect in a gradient-index medium”, J. Opt. A: Pure Appl. Opt., 11:9 (2009), 094009  
58. Konstantin Y. Bliokh, Anton S. Desyatnikov, “Spin and orbital Hall effects for diffracting optical beams in gradient-index media”, Phys. Rev. A, 79:1 (2009)  
59. K.Yu. Bliokh, “On spin evolution in a time-dependent magnetic field: Post-adiabatic corrections and geometric phases”, Physics Letters A, 372:3 (2008), 204  
60. Konstantin Y. Bliokh, Yuri Gorodetski, Vladimir Kleiner, Erez Hasman, “Coriolis Effect in Optics: Unified Geometric Phase and Spin-Hall Effect”, Phys. Rev. Lett., 101:3 (2008)  
61. A. L. Lisok, A. Yu. Trifonov, A. V. Shapovalov, “Quasi-energy spectral series for a nonlocal Gross-Pitaevskii equation”, Russ Phys J, 50:7 (2007), 695  
62. F N Litvinets, A V Shapovalov, A Yu Trifonov, “Berry phases for 3D Hartree-type equations with a quadratic potential and a uniform magnetic field”, J. Phys. A: Math. Theor., 40:36 (2007), 11129  
63. Yu. A. Kravtsov, B. Bieg, K. Yu. Bliokh, “Stokes-vector evolution in a weakly anisotropic inhomogeneous medium”, J. Opt. Soc. Am. A, 24:10 (2007), 3388  
64. K. Yu. Bliokh, D. Yu. Frolov, Yu. A. Kravtsov, “Non-Abelian evolution of electromagnetic waves in a weakly anisotropic inhomogeneous medium”, Phys. Rev. A, 75:5 (2007)  
65. Yu. A. Kravtsov, P. Berczynski, “Gaussian beams in inhomogeneous media: A review”, Stud Geophys Geod, 51:1 (2007), 1  
66. E. Hernández, A. Jáuregui, A. Mondragón, “Crossings and Anticrossings of Unbound States”, Int J Theor Phys, 46:8 (2007), 1890  
67. Н. Р. Садыков, “Поляризационные эффекты, обусловленные взаимным влиянием параметров траектории и поляризации”, ТМФ, 149:1 (2006), 65–79            ; N. R. Sadykov, “Polarization effects due to the mutual influence of trajectory parameters and polarization”, Theoret. and Math. Phys., 149:1 (2006), 1354–1365    
68. Г. Б. Малыкин, “Прецессия Томаса: корректные и некорректные решения”, УФН, 176:8 (2006), 865–882      ; G. B. Malykin, “Thomas precession: correct and incorrect solutions”, Phys. Usp., 49:8 (2006), 837–853    
69. F N Litvinets, A V Shapovalov, A Yu Trifonov, “Berry phases for the nonlocal Gross–Pitaevskii equation with a quadratic potential”, J. Phys. A: Math. Gen., 39:5 (2006), 1191  
70. N. R. Sadykov, “Maxwell's equations in the Majorana representation in chiral and gyrotropic media”, Opt. Spectrosc., 100:6 (2006), 906  
71. A. A. Mailybaev, O. N. Kirillov, A. P. Seyranian, “Berry phase around degeneracies”, Dokl. Math., 73:1 (2006), 129  
72. Konstantin Yu. Bliokh, “Geometrical Optics of Beams with Vortices: Berry Phase and Orbital Angular Momentum Hall Effect”, Phys. Rev. Lett., 97:4 (2006)  
73. K. Yu. Bliokh, V. D. Freilikher, “Polarization transport of transverse acoustic waves: Berry phase and spin Hall effect of phonons”, Phys. Rev. B, 74:17 (2006)  
74. Н. Р. Садыков, “Дополнительное искривление траекторий спиновых частиц, пропорциональное кручению траектории”, ТМФ, 144:3 (2005), 555–563            ; N. R. Sadykov, “Additional Curvature of Spinning-Particle Trajectories Proportional to the Trajectory Torsion”, Theoret. and Math. Phys., 144:3 (2005), 1353–1360    
75. K.Yu. Bliokh, D.Yu. Frolov, “Spin–orbit interaction of photons and fine splitting of levels in ring dielectric resonator”, Optics Communications, 250:4-6 (2005), 321  
76. K.Yu. Bliokh, “Weak antilocalization of ultrarelativistic fermions”, Physics Letters A, 344:2-4 (2005), 127  
77. N. R. Sadykov, “Maxwell's Equations in the Majorana Representation in an Inhomogeneous Locally Isotropic Chiral Medium”, Opt. Spectrosc., 98:4 (2005), 590  
78. K.Yu. Bliokh, Yu.P. Bliokh, “Spin gauge fields: From Berry phase to topological spin transport and Hall effects”, Annals of Physics, 319:1 (2005), 13  
79. K. Yu. Bliokh, V. D. Freilikher, “Topological spin transport of photons: Magnetic monopole gauge field in Maxwell's equations and polarization splitting of rays in periodically inhomogeneous media”, Phys. Rev. B, 72:3 (2005)  
80. К. Ю. Блиох, Ю. П. Блиох, “Оптический эффект Магнуса как следствие анизотропии фазы Берри”, Письма в ЖЭТФ, 79:11 (2004), 647–650    ; K. Yu. Bliokh, Yu. P. Bliokh, “Optical magnus effect as a consequence of Berry phase anisotropy”, JETP Letters, 79:11 (2004), 519–522  
81. Г. Б. Малыкин, В. И. Позднякова, “Геометрические фазы в одномодовых волоконных световодах и волоконных кольцевых интерферометрах”, УФН, 174:3 (2004), 303–322      ; G. B. Malykin, V. I. Pozdnyakova, “Geometric phases in singlemode fiber lightguides and fiber ring interferometers”, Phys. Usp., 47:3 (2004), 289–308    
82. N. R. Sadykov, “Maxwell's equations in the Majorana representation in a locally isotropic chiral medium”, Opt. Spectrosc., 97:2 (2004), 305  
83. K.Yu. Bliokh, Yu.P. Bliokh, “Topological spin transport of photons: the optical Magnus effect and Berry phase”, Physics Letters A, 333:3-4 (2004), 181  
84. A. L. Lisok, F. N. Litvinets, A. Yu. Trifonov, A. V. Shapovalov, “The Geometric Phases and Quasienergy Spectral Series of a Hartree-Type Equation with a Quadratic Potential”, Russian Physics Journal, 47:4 (2004), 405  
85. Г. Б. Малыкин, С. А. Харламов, УФН, 173:9 (2003), 985–994      ; Phys. Usp., 46:9 (2003), 957–965    
86. K. Yu. Bliokh, Yu. P. Stepanovskii, “On the change in electromagnetic wave polarization in a smooth one-dimensionally inhomogeneous medium”, J. Exp. Theor. Phys., 97:3 (2003), 479  
87. J. M. Robbins, digital Encyclopedia of Applied Physics, 2003  
88. И. А. Андронова, Г. Б. Малыкин, УФН, 172:8 (2002), 849–873      ; Phys. Usp., 45:8 (2002), 793–817    
89. N. R. Sadykov, “Rytov-Vladimirsky polarization effect”, Opt. Spectrosc., 92:4 (2002), 584  
90. E. I. Yakubovich, G. B. Malykin, “The Effect of Noncoplanar Winding of an Optical Fiber in a Fiber Ring Interferometer on the Phase Difference of Counterpropagating Waves”, Radiophysics and Quantum Electronics, 45:11 (2002), 895  
91. N. R. Sadykov, “Inverse optical magnus effect in the Majorana representation”, Opt. Spectrosc., 90:3 (2001), 387  
92. A. G. Chirkov, “On the adiabatic theorem in quantum mechanics”, Tech. Phys. Lett., 27:2 (2001), 93  
93. V. A. Andreev, K. V. Indukaev, “The Rytov–Vladimirskii Phase and Interferometric Measurements”, Journal of Russian Laser Research, 22:1 (2001), 1  
94. Г. Б. Малыкин, УФН, 170:12 (2000), 1325–1349      ; Phys. Usp., 43:12 (2000), 1229–1252    
95. A. Ya. Bekshaev, “Manifestation of mechanical properties of light waves in vortex beam optical systems”, Opt. Spectrosc., 88:6 (2000), 904  
96. Pavel Exner, Vladimir A. Geyler, “Berry phase in magnetic systems with point perturbations”, Journal of Geometry and Physics, 36:1-2 (2000), 178  
97. Г. Б. Малыкин, УФН, 169:5 (1999), 585–590    ; Phys. Usp., 42:5 (1999), 505–509    
98. G.B. Malykin, “The application of the solid-angle theorem in the special theory of relativity”, Journal of Applied Mathematics and Mechanics, 63:5 (1999), 731  
99. N. R. Sadykov, “Radiation passage through a twisted multimode light guide”, Russ Phys J, 42:10 (1999), 909  
100. L A Melnikov, A I Konukhov, M V Ryabinina, “Polarization transverse pattern dynamics in lasers with anisotropic cavities”, Quantum Semiclass. Opt., 10:1 (1998), 167  
101. G. B. Malykin, Yu. I. Neimark, “Nonholonomic relation between the electromagnetic field state and the torsion angle in a single-mode lightguide with linear birefringence”, Radiophys Quantum Electron, 41:9 (1998), 757  
102. A. Mondragón, E. Hernández, Lecture Notes in Physics, 504-504, Irreversibility and Causality Semigroups and Rigged Hilbert Spaces, 1998, 257  
103. L M Barkovsky, A N Furs, “Maxwell's square roots from the metric tensors of wave surfaces and branches of solutions of the photon and phonon wave equations”, J. Phys. A: Math. Gen., 30:13 (1997), 4665  
104. В. Ю. Торонов, В. Л. Дербов, “Геометрические фазы в кольцевом лазере”, Квантовая электроника, 24:7 (1997), 662–666    ; V. Yu. Toronov, V. L. Derbov, “Geometric phases in a ring laser”, Quantum Electron., 27:7 (1997), 644–648    
105. G. B. Malykin, “Use of the poincare sphere in polarization optics and classical and quantum mechanics. Review”, Radiophys Quantum Electron, 40:3 (1997), 175  
106. В. И. Боднарчук, Л. С. Давтян, Д. А. Корнеев, “Эффекты геометрической фазы в нейтронной оптике”, УФН, 166:2 (1996), 185–194      ; V. I. Bodnarchuk, L. S. Davtyan, D. A. Korneev, “Geometrical phase effects in neutron optics”, Phys. Usp., 39:2 (1996), 169–177    
107. A. G. Abrashkevich, I. V. Puzynin, Yu. S. Smirnov, S. I. Vinitsky, “A generalized adiabatic approach to exotic three-body systems”, Hyperfine Interact, 101-102:1 (1996), 381  
108. A Mondragón, E Hernández, “Berry phase of a resonant state”, J. Phys. A: Math. Gen., 29:10 (1996), 2567  
109. Arun Kumar Pati, “Geometric aspects of noncyclic quantum evolutions”, Phys. Rev. A, 52:4 (1995), 2576  
110. A Yu Trifonov, A A Yevseyevich, “The Aharonov-Anandan phase for quasi-energy trajectory-coherent states”, J. Phys. A: Math. Gen., 28:19 (1995), 5653  
111. MICHAEL BERRY, “Two‐State Quantum Asymptotics”, Annals of the New York Academy of Sciences, 755:1 (1995), 303  
112. E. M. Belenov, I. P. Prokopovich, “Dynamics of high-power ultrashort laser pulses in resonant media”, J Russ Laser Res, 15:4 (1994), 283  
113. S. Appelt, G. Wäckerle, M. Mehring, “Deviation from Berry's adiabatic geometric phase in aXe131nuclear gyroscope”, Phys. Rev. Lett., 72:25 (1994), 3921  
114. Vladislav Yu. Toronov, Vladimir L. Derbov, “Geometric-phase effects in laser dynamics”, Phys. Rev. A, 50:1 (1994), 878  
115. Shun-Jin Wang, “Nonadiabatic Berry's phase for light propagating in an optical fiber”, Z. Physik B - Condensed Matter, 96:1 (1994), 97  
116. Vadim A. Naumov, “Berry phases for three-neutrino oscillations in matter”, Physics Letters B, 323:3-4 (1994), 351  
117. A Mondragon, E Hernandez, “Degeneracy and crossing of resonance energy surfaces”, J. Phys. A: Math. Gen., 26:20 (1993), 5595  
118. Chang-Pu Sun, “High-order adiabatic approximation for non-Hermitian quantum system and complexification of Berry's phase”, Phys. Scr., 48:4 (1993), 393  
119. C. Alden Mead, “The geometric phase in molecular systems”, Rev. Mod. Phys., 64:1 (1992), 51  
120. A. V. Volyar, “Topological depolarization of laser radiation in multimodal step-index fibers with square cross section”, Meas Tech, 35:10 (1992), 1152  
121. R Simon, N Mukunda, “Hamilton's turn and geometric phase for two-level systems”, J. Phys. A: Math. Gen., 25:22 (1992), 6135  
122. Robert G. Littlejohn, William G. Flynn, “Geometric phases in the asymptotic theory of coupled wave equations”, Phys. Rev. A, 44:8 (1991), 5239  
123. A.I. Ioffe, S.G. Kirsanov, V.I. Sbitnev, V.S. Zabiyakin, “Geometric phase in neutron spin resonance”, Physics Letters A, 158:9 (1991), 433