Remarks on the spectrum of the Dirac operator

被引：3

作者：

Ginoux, N ^{[1
]}

机构：

[1] Univ Hamburg, FB Math SPAD, D-20146 Hamburg, Germany

来源：

COMPTES RENDUS MATHEMATIQUE | 2003年 / 337卷 / 01期

关键词：

D O I：

10.1016/S1631-073X(03)00278-4

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Remarks on the spectrum of the Dirac operator. We describe a new family of examples of hypersurfaces in the sphere satisfying the limiting-case in C. Bar's extrinsic upper bound for the smallest eigenvalue of the Dirac operator. To cite this article: N. Ginoux, C. R. Acad. Sci. Paris, Ser. 1337 (2003). (C) 2003 Academie des sciences. Public par Editions scientifiques et medicales Elsevier SAS. Tons droits reserves.

引用

页码：53 / 56

页数：4

共 50 条

[41] RESOLVENT ESTIMATES AND SPECTRUM OF THE DIRAC OPERATOR WITH PERIODIC POTENTIAL
DANILOV, LI
THEORETICAL AND MATHEMATICAL PHYSICS, 1995, 103 (01) : 349 - 365
[42] Metal or insulator? Dirac operator spectrum in holographic QCD
Gorsky, A.
Litvinov, M.
PHYSICS LETTERS B, 2019, 795 : 379 - 385
[43] Spectrum of the Dirac operator on manifold with asymptotically flat end
Kawai, Shigeo
JOURNAL OF GEOMETRY AND PHYSICS, 2016, 110 : 195 - 212
[44] Microscopic spectrum of the QCD Dirac operator in three dimensions
Szabo, RJ
NUCLEAR PHYSICS B, 2001, 598 (1-2) : 309 - 347
[45] The spectrum of discrete Dirac operator with a general boundary condition
Coskun, Nimet
Yokus, Nihal
ADVANCES IN DIFFERENCE EQUATIONS, 2020, 2020 (01)
[46] Spectrum of the Wilson Dirac operator at finite lattice spacings
Akemann, G.
Damgaard, P. H.
Splittorff, K.
Verbaarschot, J. J. M.
PHYSICAL REVIEW D, 2011, 83 (08):
[47] On Recovering the Dirac Operator with an Integral Delay from the Spectrum
Natalia Bondarenko
Sergey Buterin
Results in Mathematics, 2017, 71 : 1521 - 1529
[48] Spectrum of the fixed point Dirac operator in the Schwinger model
Farchioni, F
Hip, I
Lang, CB
Wohlgenannt, M
NUCLEAR PHYSICS B-PROCEEDINGS SUPPLEMENTS, 1999, 73 : 939 - 941
[49] The point spectrum of the Dirac operator on noncompact symmetric spaces
Goette, S
Semmelmann, U
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 2002, 130 (03) : 915 - 923
[50] ASYMPTOTICS OF THE DISCRETE SPECTRUM OF THE DIRAC OPERATOR WITH DECREASING POTENTIAL
LEVENDORSKII, SZ
SIBERIAN MATHEMATICAL JOURNAL, 1988, 29 (02) : 253 - 259

← 1 2 3 4 5 →