The Riemannian adiabatic limit

2013 ◽  
pp. 15-20
Author(s):  
Jean-Michel Bismut
Keyword(s):  
Adiabatic Limit

Analytic description of the above-threshold detachment in the adiabatic limit

2020 ◽  
Vol 102 (6) ◽  
Author(s):  
A. V. Flegel ◽  
N. L. Manakov ◽  
A. V. Sviridov ◽  
M. V. Frolov ◽  
Lei Geng ◽  
...  
Keyword(s):  
Adiabatic Limit ◽  
Analytic Description

scholarly journals Adiabatic Limit, Heat Kernel and Analytic Torsion

2012 ◽  
pp. 233-298
Author(s):  
Xianzhe Dai ◽  
Richard B. Melrose
Keyword(s):  
Heat Kernel ◽  
Adiabatic Limit ◽  
Analytic Torsion

Adiabatic Limit for the Maxwell-Lorentz Equations

2000 ◽  
Vol 1 (4) ◽  
pp. 625-653 ◽  
Author(s):  
M. Kunze ◽  
H. Spohn
Keyword(s):  
Adiabatic Limit

scholarly journals Yang–Mills moduli space in the adiabatic limit

2015 ◽  
Vol 48 (42) ◽  
pp. 425401 ◽  
Author(s):  
Olaf Lechtenfeld ◽  
Alexander D Popov
Keyword(s):  
Moduli Space ◽  
Adiabatic Limit ◽  
Yang Mills

E to Z Photoisomerization of Phytochrome Cph1Δ Exceeds the Born–Oppenheimer Adiabatic Limit

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

scholarly journals Adiabatic limit of the eta invariant over cofinite quotients of PSL(2, ℝ)

2008 ◽  
Vol 144 (6) ◽  
pp. 1593-1616 ◽  
Author(s):  
Paul Loya ◽  
Sergiu Moroianu ◽  
Jinsung Park
Keyword(s):  
Riemann Surface ◽  
Dirac Operator ◽  
Continuous Spectrum ◽  
Spin Structure ◽  
Adiabatic Limit ◽  
Regularized Trace ◽  
Standard Definition ◽  
Eta Invariant ◽  
Hyperbolic Riemann Surface

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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