Optical Aharonov-Bohm Effect: An Inverse Hyperbolic Problems Approach

被引：0
作者：
G. Eskin
机构：
[1] UCLA,Department of Mathematics
来源：
Communications in Mathematical Physics | 2008年 / 284卷
关键词：
Inverse Problem; Electromagnetic Potential; Inverse Boundary; Inverse Scatter Problem; Density Lemma;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
We describe the general setting for the optical Aharonov-Bohm effect based on the inverse problem of the identification of the coefficients of the governing hyperbolic equation by the boundary measurements. We interpret the inverse problem result as a possibility in principle to detect the optical Aharonov-Bohm effect by the boundary measurements.
引用
收藏
页码：317 / 343
页数：26
相关论文
共 55 条
[1]  
Aharonov Y.(1959)Significance of electromagnetic potentials in quantum theory Phys. Rev., Second Series 115 485-491
[2]  
Bohm D.(1997)Boundary control in reconstruction of manifolds and metrics (the BC method) Inverse Problems 13 R1-R45
[3]  
Belishev M.(1980)A new approach to the hyperbolic inverse problems Eur. J. Phys. 1 154-831
[4]  
Berry M.(1995)A new approach to the hyperbolic inverse problems II: global step Am. J. Phys. 63 705-2356
[5]  
Chambers R.(2006)Inverse hyperbolic problems with time-dependent coefficients Inverse problems 22 815-1758
[6]  
Large M.(2007)Inverse problems for the Schrödinger equations with time-dependent electromagnetic potentials and the Aharonov-Bohm effect Inverse Problems 23 2343-1516
[7]  
Upstill C.(2007)Inverse boundary value problems in domains with several obstacles Comm. in PDE 32 1737-224
[8]  
Walmsley J.(2008)Inverse scattering problem for the Schrödinger equation with magnetic potential at a fixed energy J. Math. Phys 49 022105-214
[9]  
Cook R.(2004)Energy measurements and equivalence of boundary data for inverse problems on noncompact manifolds Inverse Problem 20 1497-272
[10]  
Fearn H.(1995)Hyperbolic inverse problems with data on a part of the boundary Commun. Math. Phys. 173 199-436
123456