Functional determinants for the Dirac equation with mixed pseudodifferential boundary conditions over finite cylinders

2005 ◽  
Vol 46 (4) ◽  
pp. 042309 ◽  
Author(s):  
Paul Loya ◽  
Jinsung Park
Keyword(s):  
Dirac Equation ◽  
Boundary Conditions ◽  
Pseudodifferential Boundary ◽  
Finite Cylinders

CHIRAL ZEROMODES ON VORTEX-TYPE INTERSECTING FIVE-BRANE IN HETEROTIC STRING

2013 ◽  
Vol 21 ◽  
pp. 191-192
Author(s):  
MASAYA YATA
Keyword(s):  
Dirac Equation ◽  
String Theory ◽  
Boundary Conditions ◽  
Heterotic String ◽  
The Other ◽  
Two Dimensional ◽  
Complete Spectrum ◽  
Heterotic String Theory ◽  
Brane Solution ◽  
Opposite Chirality

We solve the gaugino Dirac equation on a smeared intersecting five-brane solution in E8 × E8 heterotic string theory to search for localized chiral zeromodes on the intersection. The background is chosen to depend on the full two-dimensional overall transverse coordinates to the branes. Under some appropriate boundary conditions, we compute the complete spectrum of zeromodes to find that, among infinite towers of Fourier modes, there exist only three localized normalizable zeromodes, one of which has opposite chirality to the other two.

Boundary Conditions on the Monopole Dirac Equation

1983 ◽  
Vol 51 (13) ◽  
pp. 1155-1158 ◽  
Author(s):  
Curtis G. Callan ◽  
Sumit R. Das
Keyword(s):  
Dirac Equation ◽  
Boundary Conditions

Paper 14: Hydrodynamic Lubrication of Lightly Loaded Finite Cylinders

1966 ◽  
Vol 181 (15) ◽  
pp. 112-116
Author(s):  
R. J. Boness
Keyword(s):  
Boundary Condition ◽  
Boundary Conditions ◽  
Velocity Gradient ◽  
Carrying Capacity ◽  
Hydrodynamic Lubrication ◽  
Load Carrying Capacity ◽  
Load Carrying ◽  
Fluid Properties ◽  
Theoretical Results ◽  
Finite Cylinders

Theoretical results of the load-carrying capacity of lightly loaded finite cylinders indicate that the effect of side leakage can be secondary to upstream boundary condition considerations. Neglecting side leakage the calculations are extended to cover the experimental results of Crook into the régime where the fluid properties are pressure dependent. The results support the adoption of the new velocity and velocity gradient boundary conditions suggested by Lauder.

scholarly journals Massless fermions on static general prolate metrics and their Heun solutions

2019 ◽  
Vol 35 (07) ◽  
pp. 2050036
Author(s):  
Marina-Aura Dariescu ◽  
Ciprian Dariescu ◽  
Cristian Stelea
Keyword(s):  
Black Hole ◽  
Dirac Equation ◽  
Boundary Conditions ◽  
Radial Solutions ◽  
Resonant Frequencies ◽  
Dirac Equations ◽  
Electrically Charged ◽  
Massless Fermions

Employing a pseudo-orthonormal coordinate-free approach, we write down the Dirac equation in spacetimes with static general prolate metrics. As examples, we consider the electrically charged C-metric, the vacuum C-metric, the Reissner–Nordström and Schwarzschild spacetimes and the BBMB black hole and show that the solutions to the Dirac equations for particles in these spacetimes can be derived in terms of Heun’s general functions and their confluent and double confluent forms. By imposing boundary conditions to the radial solutions, the so-called resonant frequencies are obtained.

On the boundary conditions for the Dirac equation

1997 ◽  
Vol 18 (5) ◽  
pp. 315-320 ◽  
Author(s):  
Vidal Alonso ◽  
Salvatore De Vincenzo ◽  
Luigi Mondino
Keyword(s):  
Dirac Equation ◽  
Boundary Conditions
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