scholarly journals Boundary conditions and Green function approach of the spin–orbit interaction in the graphitic nanocone

2017 ◽  
Vol 14 (09) ◽  
pp. 1750116 ◽  
Author(s):  
Jan Smotlacha ◽  
Richard Pincak
Keyword(s):  
Green Function ◽  
Analytical Form ◽  
Orbit Coupling ◽  
Boundary Effects ◽  
Function Approach ◽  
Electron Mass ◽  
Spin Orbit Coupling ◽  
Spin Orbit ◽  
The Green Function ◽  
Green Function Approach

The boundary effects affecting the Hamiltonian for the nanocone with curvature-induced spin–orbit coupling were considered and the corresponding electronic structure was calculated. These boundary effects include the spin–orbit coupling, the electron mass acquisition and the Coulomb interaction. Different numbers of the pentagonal defects in the tip were considered. The matrix and analytical form of the Green function approach was used for the verification of our results and the increase of their precision in the case of the spin–orbit coupling.

scholarly journals Conditions for the existence of peaks in the Sigma hypernucleus spectra

2020 ◽  
Vol 1 ◽  
pp. 144
Author(s):  
Th. Petridou ◽  
C. Daskaloyannis
Keyword(s):  
Green Function ◽  
Necessary Conditions ◽  
Interaction Model ◽  
Function Approach ◽  
Spin Orbit ◽  
Orbit Potential ◽  
The Green Function ◽  
Green Function Approach ◽  
Strong Spin

The (K-, π±) sigma hypernuclear spectrum is studied qualitatively in the Green function approach, using a solvable interaction model. The general features of the spectrum are explained. The necessary conditions for the existence of peaks in the spectrum are also studied. We show that the resonant peaks can be distinguished in the case of a real strong spin-orbit potential with a relatively weak Sigma to Lambda conversion.

scholarly journals Tsunami excitation by inland/coastal earthquakes: the Green function approach

2003 ◽  
Vol 3 (5) ◽  
pp. 353-365 ◽  
Author(s):  
T. B. Yanovskaya ◽  
F. Romanelli ◽  
G. F. Panza
Keyword(s):  
Green Function ◽  
Numerical Modelling ◽  
Excitation Spectrum ◽  
Liquid Layer ◽  
Open Ocean ◽  
Function Approach ◽  
Source Depth ◽  
Excitation Spectra ◽  
The Green Function ◽  
Green Function Approach

Abstract. In the framework of the linear theory, the representation theorem is derived for an incompressible liquid layer with a boundary of arbitrary shape and in a homogeneous gravity field. In addition, the asymptotic representation for the Green function, in a layer of constant thickness is obtained. The validity of the approach for the calculation of the tsunami wavefield based on the Green function technique is verified comparing the results with those obtained from the modal theory, for a liquid layer of infinite horizontal dimensions. The Green function approach is preferable for the estimation of the excitation spectra, since in the case of an infinite liquid layer it leads to simple analytical expressions. From this analysis it is easy to describe the peculiarities of tsunami excitation by different sources. The method is extended to the excitation of tsunami in a semiinfinite layer with a sloping boundary. Numerical modelling of the tsunami wavefield, excited by point sources at different distances from the coastline, shows that when the source is located at a distance from the coastline equal or larger than the source depth, the shore presence does not affect the excitation of the tsunami. When the source is moved towards thecoastline, the low frequency content in the excitation spectrum ecreases, while the high frequencies content increases dramatically. The maximum of the excitation spectra from inland sources, located at a distance from the shore like the source depth, becomes less than 10% of that radiated if the same source is located in the open ocean. The effect of the finiteness of the source is also studied and the excitation spectrum is obtained by integration over the fault area. Numerical modelling of the excitation spectra for different source models shows that, for a given seismic moment, the spectral level, as well as the maximum value of the spectra, decreases with increasing fault size. When the sources are located in the vicinity of a shore, the synthetic mareograms calculated at distances greater than the source depth show that the maximum tsunami amplitude decays with decreasing source-to-shore distance. The rate of decay is dependent on the dip, length and depth of the fault. The tsunami intensity, defined as maximum peak-to-peak amplitude, decays with the inland distance of the source from the coast. At an inland distance equal to the source depth, it becomes 4–5 times less than that from a source in the open ocean. If the source is located under the coastline, the intensity of tsunami is approximately the same as for oceanic sources.

Sign in / Sign up

Export Citation Format

Share Document