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Double-wells in a strong magnetic field: absence of tunneling for infinitely many values of the coupling constant

Buck, Kevin et al.
arXiv (All) · Papers
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analysis-of-pdes
We prove the fixed-potential conjecture of Fefferman, Shapiro, and Weinstein for inversion-symmetric magnetic double wells. We construct a number $L_0>0$ and one smooth, compactly supported, nonpositive, nonradial single-well potential $v$, independent of both the coupling parameter $λ$ and the well
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