73 citations · 141 across the 38 of their papers we have counts for
3 papers · 1 filter
Trapped modes in finite quantum waveguides
Andrey L. Delitsyn, Binh-Thanh Nguyen, Denis S. Grebenkov
The Laplace operator in infinite quantum waveguides (e.g., a bent strip or a twisted tube) often has a point-like eigenvalue below the essential spectrum that corresponds to a trap…
Exponential decay of Laplacian eigenfunctions in domains with branches
Andrey Delitsyn, Binh-Thanh Nguyen, Denis S. Grebenkov
The behavior of Laplacian eigenfunctions in domains with branches is investigated. If an eigenvalue is below a threshold which is determined by the shape of the branch, the associa…
Mean first-passage time of surface-mediated diffusion in spherical domains
O. Bénichou, D. S. Grebenkov, P. E. Levitz +2
We present an exact calculation of the mean first-passage time to a target on the surface of a 2D or 3D spherical domain, for a molecule alternating phases of surface diffusion on…