A problem of Berry and knotted zeros in the eigenfunctions of the harmonic oscillator
classification
🧮 math-ph
math.MPmath.SP
keywords
berryharmonicknottedoscillatorproblemzerosboundcomplex-valued
read the original abstract
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 components diffeomorphic to L. This solves a problem of Berry on the existence of knotted zeros in bound states of a quantum system.
This paper has not been read by Pith yet.
discussion (0)
Sign in with ORCID, Apple, or X to comment. Anyone can read and Pith papers without signing in.