195 citations · 627 across the 82 of their papers we have counts for
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Asymmetry of curl eigenfields solving Woltjer's variational problem
Daniel Peralta-Salas, David Perrella, David Pfefferlé
We construct families of rotationally symmetric toroidal domains in for which the eigenfields associated to the first (positive) Ampèrian curl eigenvalue are symmetri…
Entanglement of vortices in the Ginzburg--Landau equations for superconductors
Alberto Enciso, Daniel Peralta-Salas
In 1988, Nelson proposed that neighboring vortex lines in high-temperature superconductors may become entangled with each other. In this article we construct solutions to the Ginzb…
A basis of Casimirs in 3D magnetohydrodynamics
Boris Khesin, Daniel Peralta-Salas, Cheng Yang
We prove that any regular Casimir in 3D magnetohydrodynamics is a function of the magnetic helicity and cross-helicity. In other words, these two helicities are the only independen…
When do knots in light stay knotted?
Hridesh Kedia, Daniel Peralta-Salas, William TM Irvine
An initially knotted light field will stay knotted if it satisfies a set of nonlinear, geometric constraints, i.e. the null conditions, for all space-time. However, the question of…
Dislocations of arbitrary topology in Coulomb eigenfunctions
Alberto Enciso, David Hartley, Daniel Peralta-Salas
For any finite link in we prove the existence of a high-energy complex-valued eigenfunction of the hydrogen atom such that its nodal set contains a union of conn…
A problem of Berry and knotted zeros in the eigenfunctions of the harmonic oscillator
Alberto Enciso, David Hartley, Daniel Peralta-Salas
We prove that, given any finite link L in R^3, there is a high energy complex-valued eigenfunction of the harmonic oscillator such that its nodal set contains a union of connected…