scholarly journals Nodal count of graph eigenfunctions via magnetic perturbation

2013 ◽  
Vol 6 (5) ◽  
pp. 1213-1233 ◽  
Author(s):  
Gregory Berkolaiko
Keyword(s):  
Nodal Count ◽  
Magnetic Perturbation

scholarly journals Stability of eigenvalues of quantum graphs with respect to magnetic perturbation and the nodal count of the eigenfunctions

2014 ◽  
Vol 372 (2007) ◽  
pp. 20120522 ◽  
Author(s):  
Gregory Berkolaiko ◽  
Tracy Weyand
Keyword(s):  
Magnetic Field ◽  
Morse Index ◽  
Magnetic Potential ◽  
Zero Magnetic Field ◽  
Quantum Graphs ◽  
Nodal Count ◽  
Magnetic Perturbation ◽  
Number Of Zeros ◽  
Stability Of Eigenvalues ◽  
The Stability

We prove an analogue of the magnetic nodal theorem on quantum graphs: the number of zeros ϕ of the n th eigenfunction of the Schrödinger operator on a quantum graph is related to the stability of the n th eigenvalue of the perturbation of the operator by magnetic potential. More precisely, we consider the n th eigenvalue as a function of the magnetic perturbation and show that its Morse index at zero magnetic field is equal to ϕ −( n −1).

scholarly journals ELM control based on modeling of plasma response to n = 2 and n = 3 resonant magnetic perturbation fields in DIII-D

AIP Advances ◽  
2020 ◽  
Vol 10 (5) ◽  
pp. 055316
Author(s):  
Xu Yang ◽  
Wei Xu ◽  
Lina Zhou ◽  
Yuling He ◽  
Yueqiang Liu
Keyword(s):  
Magnetic Perturbation ◽  
Plasma Response

Superposed Epoch Analysis of Nighttime Magnetic Perturbation Events Observed in Arctic Canada

2021 ◽  
Author(s):  
Mark J. Engebretson ◽  
Lidiya Y. Ahmed ◽  
Vyacheslav A. Pilipenko ◽  
Erik S. Steinmetz ◽  
Mark B. Moldwin ◽  
...  
Keyword(s):  
Arctic Canada ◽  
Magnetic Perturbation ◽  
Superposed Epoch Analysis ◽  
Epoch Analysis

Influence of rotating resonant magnetic perturbation on the plasma radial electric field on TEXTOR

2012 ◽  
Vol 52 (7) ◽  
pp. 074013 ◽  
Author(s):  
T. Zhang ◽  
Y. Liang ◽  
Y. Sun ◽  
A. Krämer-Flecken ◽  
S. Soldatov ◽  
...  
Keyword(s):  
Electric Field ◽  
Radial Electric Field ◽  
Magnetic Perturbation

Observations of multi-resonance effect in ELM control with magnetic perturbation fields on the JET tokamak

2011 ◽  
Vol 51 (7) ◽  
pp. 073001 ◽  
Author(s):  
Y. Liang ◽  
C.G. Gimblett ◽  
P.K. Browning ◽  
P. Devoy ◽  
A. Alfier ◽  
...  
Keyword(s):  
Resonance Effect ◽  
Magnetic Perturbation

Plasma vortexes induced by an external rotating helical magnetic perturbation in tokamaks

2005 ◽  
Vol 343 (1-3) ◽  
pp. 216-223 ◽  
Author(s):  
I.M. Pankratov ◽  
A.Ya. Omelchenko ◽  
V.V. Olshansky
Keyword(s):  
Magnetic Perturbation

Resonant magnetic perturbation experiments on MAST using external and internal coils for ELM control

2010 ◽  
Vol 50 (3) ◽  
pp. 034008 ◽  
Author(s):  
A. Kirk ◽  
E. Nardon ◽  
R. Akers ◽  
M. Bécoulet ◽  
G. De Temmerman ◽  
...  
Keyword(s):  
Magnetic Perturbation

Simulation of runaway electrons, transport affected by J-TEXT resonant magnetic perturbation

2016 ◽  
Vol 56 (9) ◽  
pp. 092012 ◽  
Author(s):  
Z.H. Jiang ◽  
X.H. Wang ◽  
Z.Y. Chen ◽  
D.W. Huang ◽  
X.F. Sun ◽  
...  
Keyword(s):  
Runaway Electrons ◽  
Magnetic Perturbation
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