Dirac equation in the background of the Nutku helicoid metric

T. Birkandan; M. Hortaçsu

doi:10.1063/1.2785124

Dirac equation in the background of the Nutku helicoid metric

T. Birkandan^*
, M. Hortaçsu

^*Bu çalışma için yazışmadan sorumlu yazar

Fizik Mühendisliği Bölümü

Istanbul Technical University

Araştırma çıktısı: Dergi yayını › Makale › Hakem

19 Atıf (Scopus)

Özet

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.

Orijinal dil	İngilizce
Makale numarası	092301
Dergi	Journal of Mathematical Physics
Hacim	48
Basın numarası	9
DOI'lar	https://doi.org/10.1063/1.2785124
Yayın durumu	Yayınlandı - 1 Eyl 2007

Finansman

We thank Professor John Roe, Professor Yavuz Nutku, Professor Ayşe Bilge, and Professor Neşe Özdemir for correspondence, for discussions, and scientific assistance throughout this work. The work of M.H. is also supported by TUBA, the Academy of Sciences of Turkey. This work is also supported by TUBITAK, the Scientific and Technological Council of Turkey.

Finansörler
Academy of Sciences of Turkey
TUBA
TUBITAK
Türkiye Bilimsel ve Teknolojik Araştirma Kurumu

Belgeye Erişim

10.1063/1.2785124

Diğer Dosyalar ve Linkler

Link to publication in Scopus

Alıntı Yap

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AU - Hortaçsu, M.

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N2 - 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.

AB - 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.

UR - https://www.scopus.com/pages/publications/34848883067

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DO - 10.1063/1.2785124

M3 - Article

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VL - 48

JO - Journal of Mathematical Physics

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ER -

Dirac equation in the background of the Nutku helicoid metric

Özet

Finansman

Belgeye Erişim

Diğer Dosyalar ve Linkler

Parmak izi

Alıntı Yap