Dirac equation in the background of the Nutku helicoid metric

被引：18

作者：

Birkandan, T. ^{[1
]}

Hortacsu, M. ^{[1
]}

机构：

[1] ITU, Fac Sci & Letters, Dept Phys, TR-34469 Istanbul, Turkey

来源：

JOURNAL OF MATHEMATICAL PHYSICS | 2007年 / 48卷 / 09期

关键词：

D O I：

10.1063/1.2785124

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We study the solutions of the Dirac equation in the background of the Nutku helicoid metric. This metric has curvature singularities, which necessitates imposing a boundary to exclude this point. We use the Atiyah-Patodi-Singer [Math. Proc. Cambridge Philos. Soc. 77, 43 (1975)] nonlocal spectral boundary conditions for both the four and the five dimensional manifolds. (c) 2007 American Institute of Physics.

引用

页数：11

共 34 条

[1] The integral form of APS boundary conditions in the bag model [J].

Abrikosov, A. A., Jr. ;

Wipf, A. .

JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL, 2007, 40 (19) :5163-5172

[2] Modified spectral boundary conditions in the bag model [J].

Abrikosov, A. A., Jr. .

JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 2006, 39 (21) :6109-6115

[3] Gravitational instantons from minimal surfaces [J].

Aliev, AN ;

Hortacsu, M ;

Kalayci, J ;

Nutku, Y .

CLASSICAL AND QUANTUM GRAVITY, 1999, 16 (02) :631-642

[4] Gravitational instantons admit hyper-Kahler structure [J].

Aliev, AN ;

Nutku, Y .

CLASSICAL AND QUANTUM GRAVITY, 1999, 16 (01) :189-210

[5] SPECTRAL ASYMMETRY AND RIEMANNIAN GEOMETRY .2. [J].

ATIYAH, MF ;

PATODI, VK ;

SINGER, IM .

MATHEMATICAL PROCEEDINGS OF THE CAMBRIDGE PHILOSOPHICAL SOCIETY, 1975, 78 (NOV) :405-432

[6] SPECTRAL ASYMMETRY AND RIEMANNIAN GEOMETRY .1. [J].

ATIYAH, MF ;

PATODI, VK ;

SINGER, IM .

MATHEMATICAL PROCEEDINGS OF THE CAMBRIDGE PHILOSOPHICAL SOCIETY, 1975, 77 (JAN) :43-69

[7]

ATIYAH MF, 1964, INDEX THEOREM MANIFO

[8] Examples of Heun and Mathieu functions as solutions of wave equations in curved spaces (vol 40, pg 1105, 2007) [J].

Birkandan, T. ;

Hortacsu, M. .

JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL, 2007, 40 (36) :11203-11203

[9] Examples of Heun and Mathieu functions as solutions of wave equations in curved spaces [J].

Birkandan, T. ;

Hortacsu, M. .

JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL, 2007, 40 (05) :1105-1116

[10]

EGUCHI T, 1980, PHYS REP, V66, P213, DOI 10.1016/0370-1573(80)90130-1

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