Optical Aharonov-Bohm Effect: An Inverse Hyperbolic Problems Approach

被引：9

作者：

Eskin, G. ^{[1
]}

机构：

[1] Univ Calif Los Angeles, Dept Math, Los Angeles, CA 90095 USA

来源：

COMMUNICATIONS IN MATHEMATICAL PHYSICS | 2008年 / 284卷 / 02期

关键词：

D O I：

10.1007/s00220-008-0647-6

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

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

页码：317 / 343

页数：27

共 31 条

[1] SIGNIFICANCE OF ELECTROMAGNETIC POTENTIALS IN THE QUANTUM THEORY [J].

AHARONOV, Y ;

BOHM, D .

PHYSICAL REVIEW, 1959, 115 (03) :485-491

[2] Boundary control in reconstruction of manifolds and metrics (the BC method) [J].

Belishev, MI .

INVERSE PROBLEMS, 1997, 13 (05) :R1-R45

[3]

Berry M. V., 1980, European Journal of Physics, V1, P154, DOI 10.1088/0143-0807/1/3/008

[4] FIZEAUS EXPERIMENT AND THE AHARONOV-BOHM EFFECT [J].

COOK, RJ ;

FEARN, H ;

MILONNI, PW .

AMERICAN JOURNAL OF PHYSICS, 1995, 63 (08) :705-710

[5] Inverse problems for the Schrodinger equations with time-dependent electromagnetic potentials and the Aharonov-Bohm effect [J].

Eskin, G. .

JOURNAL OF MATHEMATICAL PHYSICS, 2008, 49 (02)

[6] A new approach to hyperbolic inverse problems II: global step [J].

Eskin, G. .

INVERSE PROBLEMS, 2007, 23 (06) :2343-2356

[7] Inverse hyperbolic problems with time-dependent coefficients [J].

Eskin, G. .

COMMUNICATIONS IN PARTIAL DIFFERENTIAL EQUATIONS, 2007, 32 (10-12) :1737-1758

[8] Inverse boundary value problems in domains with several obstacles [J].

Eskin, G .

INVERSE PROBLEMS, 2004, 20 (05) :1497-1516

[9] A new approach to hyperbolic inverse problems [J].

Eskin, G. .

INVERSE PROBLEMS, 2006, 22 (03) :815-831

[10] INVERSE SCATTERING PROBLEM FOR THE SCHRODINGER-EQUATION WITH MAGNETIC POTENTIAL AT A FIXED-ENERGY [J].

ESKIN, G ;

RALSTON, J .

COMMUNICATIONS IN MATHEMATICAL PHYSICS, 1995, 173 (01) :199-224

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