2022-01-24T01:48:48Zhttps://tsukuba.repo.nii.ac.jp/oaioai:tsukuba.repo.nii.ac.jp:000272262021-03-02T07:19:49ZGauge Equivalence and Inverse Scattering for Aharonov–Bohm Effect磯崎, 洋Eskin, GregoryIsozaki, HiroshiO'dell, StephenWe consider the Aharonov–Bohm effect for the Schrödinger operator H = −i x\n−\nA x 2 + V x and the related inverse problem in an exterior domain in R2 with\nDirichlet boundary condition. We study the structure and asymptotics of generalized\neigenfunctions and show that the scattering operator determines the domain and\nH up to gauge equivalence under the equal flux condition. We also show that the\nflux is determined by the scattering operator if the obstacle c is convex.journal articleTaylor & Francis2010application/pdfCommunications in partial differential equations123521642194http://hdl.handle.net/2241/1170550360-5302AA00611644https://tsukuba.repo.nii.ac.jp/record/27226/files/CPDE_35-12.pdfeng10.1080/03605301003758344© Taylor & Francis\nThis is an electronic version of an article published in Eskin, Gregory Isozaki, Hiroshi O'dell, Stephen Gauge, Equivalence and Inverse Scattering for Aharonov–Bohm Effect. Communications in partial differential equations 35-12(2010) 2164-2194. Communications in partial differential equations is available online at: http://www.tandfonline.com/doi/abs/10.1080/03605301003758344.