2 problems
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Helffer–Sjöstrand's conjecture on the order of magnetic tunneling
Let be the magnetic operator considered in the paper, and let be the semiclassical parameter. Under the assumptions defining the two-dimensional purely magnetic-w…
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Purely magnetic tunneling conjecture for elliptical domains
Let be an ellipse with boundary of length , and let denote the curvilinear coordinate. Let and be the first two eigenvalues,…