Singularity Structure and Stability Analysis of the Dirac Equation on the Boundary of the Nutku Helicoid Solution

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dc.creatorBirkandan, T.
dc.creatorHortacsu, M.
dc.date2007-11-05
dc.date2008-04-07
dc.date.accessioned2026-07-07T11:53:59Z
dc.date.available2026-07-07T11:53:59Z
dc.descriptionDirac 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's 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 where one encounters a form of the Heun equation.
dc.descriptionVersion to appear in JMP
dc.identifierhttps://arxiv.org/abs/0711.0612
dc.identifierhttp://arxiv.org/abs/0711.0612
dc.identifierJ.Math.Phys.49:054101,2008
dc.identifierdoi:10.1063/1.2913520
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/204741
dc.subjectGeneral Relativity and Quantum Cosmology
dc.subjectMathematical Physics
dc.titleSingularity Structure and Stability Analysis of the Dirac Equation on the Boundary of the Nutku Helicoid Solution
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