Dislocations of Arbitrary Topology in Highly Excited States of the Hydrogen Atom
نویسنده
چکیده
For any finite link L in R we prove the existence of a high-energy complex-valued eigenfunction of the hydrogen atom such that its nodal set contains a union of connected components diffeomorphic to L. This problem goes back to Berry, who constructed such eigenfunctions in the case where L is the trefoil knot or the Hopf link and asked the question about the general result.
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تاریخ انتشار 2016