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math-ph2017
The Spectral Position of Neumann domains on the torus
Ram Band, Sebastian K. Egger, Alexander Taylor
Neumann domains of Laplacian eigenfunctions form a natural counterpart of nodal domains. The restriction of an eigenfunction to one of its nodal domains is the first Dirichlet eige…
math-ph2016★ 40 cited
Vortex knots in tangled quantum eigenfunctions
Alexander J Taylor, Mark R Dennis
Tangles of string typically become knotted, from macroscopic twine down to long-chain macromolecules such as DNA. Here we demonstrate that knotting also occurs in quantum wavefunct…