Adiabatic Limit for the Maxwell-Lorentz Equations

2000 ◽  
Vol 1 (4) ◽  
pp. 625-653 ◽  
Author(s):  
M. Kunze ◽  
H. Spohn
Keyword(s):  
2020 ◽  
Vol 102 (6) ◽  
Author(s):  
A. V. Flegel ◽  
N. L. Manakov ◽  
A. V. Sviridov ◽  
M. V. Frolov ◽  
Lei Geng ◽  
...  

2012 ◽  
pp. 233-298
Author(s):  
Xianzhe Dai ◽  
Richard B. Melrose

2015 ◽  
Vol 48 (42) ◽  
pp. 425401 ◽  
Author(s):  
Olaf Lechtenfeld ◽  
Alexander D Popov

2019 ◽  
Vol 10 (13) ◽  
pp. 3550-3556 ◽  
Author(s):  
Laurie A. Bizimana ◽  
Camille A. Farfan ◽  
Johanna Brazard ◽  
Daniel B. Turner
Keyword(s):  

2008 ◽  
Vol 144 (6) ◽  
pp. 1593-1616 ◽  
Author(s):  
Paul Loya ◽  
Sergiu Moroianu ◽  
Jinsung Park

AbstractThe eta invariant of the Dirac operator over a non-compact cofinite quotient of PSL(2,ℝ) is defined through a regularized trace following Melrose. It reduces to the standard definition in terms of eigenvalues in the case of a totally non-trivial spin structure. When the S1-fibers are rescaled, the metric becomes of non-exact fibered-cusp type near the ends. We completely describe the continuous spectrum of the Dirac operator with respect to the rescaled metric and its dependence on the spin structure, and show that the adiabatic limit of the eta invariant is essentially the volume of the base hyperbolic Riemann surface with cusps, extending some of the results of Seade and Steer.


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