Comment on "dirac equation in the background of the Nutku helicoid metric" [J. Math. Phys. 48, 092301 (2007)]

T. Birkandan; M. Hortaçsu

doi:10.1063/1.2913520

Comment on "dirac equation in the background of the Nutku helicoid metric" [J. Math. Phys. 48, 092301 (2007)]

T. Birkandan^*
, M. Hortaçsu

^*Bu çalışma için yazışmadan sorumlu yazar

Fizik Mühendisliği Bölümü

Istanbul Technical University

Araştırma çıktısı: Dergi yayını › Makale › Hakem

8 Atıf (Scopus)

Özet

The Dirac equation written on the boundary of the Nutku helicoid space consists of a system of ordinary differential equations. We tried to analyze this system and we found that it has a higher singularity than those of the Heun equations which give the solutions of the Dirac equation in the bulk. We also lose an independent integral of motion on the boundary. This facts explain why we could not find the solution of the system on the boundary in terms of known functions. We make the stability analysis of the helicoid and catenoid cases and end up with an Appendix which gives a new example wherein one encounters a form of the Heun equation.

Orijinal dil	İngilizce
Makale numarası	054101
Dergi	Journal of Mathematical Physics
Hacim	49
Basın numarası	5
DOI'lar	https://doi.org/10.1063/1.2913520
Yayın durumu	Yayınlandı - 1 May 2008

Finansman

We would like to thank Professor Ayşe Bilge for correspondence and discussions. This work is supported by TÜBİTAK, which is The Scientific and Technological Council of Turkey. The work of M.H. is also supported by TÜBA, which is the Academy of Sciences of Turkey.

Finansörler
Academy of Sciences of Turkey
TÜBİTAK
Türkiye Bilimsel ve Teknolojik Araştirma Kurumu

Belgeye Erişim

10.1063/1.2913520

Diğer Dosyalar ve Linkler

Link to publication in Scopus

Alıntı Yap

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Comment on "dirac equation in the background of the Nutku helicoid metric" [J. Math. Phys. 48, 092301 (2007)]

Özet

Finansman

Belgeye Erişim

Diğer Dosyalar ve Linkler

Parmak izi

Alıntı Yap