An inverse scattering problem with the Aharonov-Bohm effect

被引：31

作者：

Nicoleau, F ^{[1
]}

机构：

[1] Univ Nantes, Dept Math, UMR 6629, F-44322 Nantes 03, France

来源：

JOURNAL OF MATHEMATICAL PHYSICS | 2000年 / 41卷 / 08期

关键词：

D O I：

10.1063/1.533403

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

A direct and an inverse scattering method is developed for Schrodinger operators with electromagnetic fields in the case of obstacles in order to study the well-known Aharonov-Bohm effect. In dimension greater or equal to three, we show that the electric potential and the magnetic field are uniquely determined by the S-operator. In the two-dimensional case, some obstruction appears based on a quantification of the magnetic flux. (C) 2000 American Institute of Physics. [S0022-2488(00)03507-6].

引用

页码：5223 / 5237

页数：15

共 50 条

[41] AHARONOV-BOHM PROBLEM ON A SQUARE LATTICE [J].

ZHITOMIRSKAYA, SY ;

MANDELSHTAM, VA .

THEORETICAL AND MATHEMATICAL PHYSICS, 1991, 86 (03) :241-251

[42] Nonlocality and the Aharonov-Bohm effect [J].

Healey, R .

PHILOSOPHY OF SCIENCE, 1997, 64 (01) :18-41

[43] On the nature of the Aharonov-Bohm effect [J].

A. G. Chirkov ;

A. N. Ageev .

Technical Physics, 2001, 46 :147-153

[44] ON A GRAVITATIONAL AHARONOV-BOHM EFFECT [J].

JENSEN, B ;

KUCERA, J .

JOURNAL OF MATHEMATICAL PHYSICS, 1993, 34 (11) :4975-4985

[45] The rovibrational Aharonov-Bohm effect [J].

Rawlinson, Jonathan I. ;

Fabri, Csaba ;

Csaszar, Attila G. .

PHYSICAL CHEMISTRY CHEMICAL PHYSICS, 2021, 23 (42) :24154-24164

[46] On the nature of the Aharonov-Bohm effect [J].

Chirkov, AG ;

Ageev, AN .

TECHNICAL PHYSICS, 2001, 46 (02) :147-153

[47] THE OPTICAL AHARONOV-BOHM EFFECT [J].

EVANS, MW .

FOUNDATIONS OF PHYSICS LETTERS, 1994, 7 (05) :467-474

[48] CHALLENGES FOR THE AHARONOV-BOHM EFFECT [J].

ZAILER, I .

PHYSICS WORLD, 1995, 8 (04) :34-35

[49] Optical Aharonov-Bohm Effect: An Inverse Hyperbolic Problems Approach [J].

Eskin, G. .

COMMUNICATIONS IN MATHEMATICAL PHYSICS, 2008, 284 (02) :317-343

[50] IS THERE AN AHARONOV-BOHM EFFECT FOR NEUTRONS [J].

GREENBERGER, DM ;

ATWOOD, DK ;

ARTHUR, J ;

SHULL, CG ;

SCHLENKER, M .

PHYSICAL REVIEW LETTERS, 1981, 47 (11) :751-754

← 1 2 3 4 5 →