An n-dimensional Ambarzumian type theorem for Dirac operators

被引：17

作者：

Kiss, M ^{[1
]}

机构：

[1] Budapest Univ Technol & Econ, Inst Math, Dept Math Anal, H-1111 Budapest, Hungary

来源：

INVERSE PROBLEMS | 2004年 / 20卷 / 05期

关键词：

D O I：

10.1088/0266-5611/20/5/016

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We consider the one-dimensional Dirac operator with continuous self-adjoint n x n matrix potential. In some special cases the potential can be reconstructed from one spectrum. The proof is based on the properties of a special variable (see lemma 2.3).

引用

页码：1593 / 1597

页数：5

共 50 条

[1] Spectral comparison theorem for the N-dimensional Dirac equation -: art. no. 044102
Chen, G
PHYSICAL REVIEW A, 2005, 72 (04):
[2] Essential self-adjointness of n-dimensional Dirac operators with a variable mass term
Kalf, H
Yamada, O
PARTIAL DIFFERENTIAL EQUATIONS AND SPECTRAL THEORY, 2001, 126 : 165 - 167
[3] Essential self-adjointness of n-dimensional Dirac operators with a variable mass term
Kalf, H
Yamada, O
JOURNAL OF MATHEMATICAL PHYSICS, 2001, 42 (06) : 2667 - 2676
[4] ROKHLIN THEOREM FOR N-DIMENSIONAL FLOWS
LIND, DA
NOTICES OF THE AMERICAN MATHEMATICAL SOCIETY, 1973, 20 (01): : A102 - A103
[5] RAMSEYS THEOREM FOR N-DIMENSIONAL ARRAYS
GRAHAM, RL
NOTICES OF THE AMERICAN MATHEMATICAL SOCIETY, 1969, 16 (01): : 149 - &
[6] AN N-DIMENSIONAL EXTENSION OF PICARDS THEOREM
WU, H
BULLETIN OF THE AMERICAN MATHEMATICAL SOCIETY, 1969, 75 (06) : 1357 - &
[7] RAMSEYS THEOREM FOR N-DIMENSIONAL ARRAYS
GRAHAM, RL
ROTHSCHI.BL
BULLETIN OF THE AMERICAN MATHEMATICAL SOCIETY, 1969, 75 (02) : 418 - &
[8] ON N-DIMENSIONAL TAYLOR AND LAGRANGE OPERATORS
DEDRICK, KG
CHU, EL
ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS, 1964, 16 (05) : 385 - 401
[9] On the n-dimensional Ambarzumyan's theorem
Chern, HH
Shen, CL
INVERSE PROBLEMS, 1997, 13 (01) : 15 - 18
[10] The n-dimensional Pythagorean theorem via the divergence theorem
Eifler, Larry
Rhee, Noah H.
AMERICAN MATHEMATICAL MONTHLY, 2008, 115 (05): : 456 - 457

← 1 2 3 4 5 →