Knotted Wave Dislocation with the Hopf Invariant |
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| Authors: | Peng-ming Zhang Xi-guo Lee Shao-feng Wu Yi-shi Duan |
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| Affiliation: | (1) Institute of Modern Physics, Chinese Academy of Sciences, P.O. Box 31, Lanzhou, 730000, P.R. China;(2) Center of Theoretical Nuclear Physics, National Laboratory of Heavy Ion Accelerator, Lanzhou, 730000, P.R. China;(3) Department of Mathematics, Shanghai University, Shanghai, 200444, P.R. China;(4) Institute of Theoretical Physics, Lanzhou University, Lanzhou, 730000, P.R. China |
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| Abstract: | We study the wave dislocations with an induced gauge potential. The topological current characterized the wave dislocations is constructed with the dual of Abelian gauge field. And the topological charges and locations of the wave dislocations are determined by the φmapping topological current theory. Furthermore, it is shown that the knotted wave dislocations can be described with a Hopf invariant in the wave field. At last we discussed the evolution of the knotted wave dislocations. PACS 02.10.Kn, 02.40.-k, 11.15.-q |
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| Keywords: | wave dislocation knot Hopf invariant |
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