Algebraic curves tied to Hermite polynomials stratify nodal geometry changes inside degenerate 2D harmonic oscillator shells, with nodal-domain entropy and mutual information detecting transitions more sharply than global entropies.
Let{Ω k}be the con- nected components of R2 \ {(x, y) :ψ N(x, y) = 0},(21) that is, the maximal connected open sets on which ψN has definite sign
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Nodal algebraic curves and entropy diagnostics in degenerate two-dimensional harmonic-oscillator shells
Algebraic curves tied to Hermite polynomials stratify nodal geometry changes inside degenerate 2D harmonic oscillator shells, with nodal-domain entropy and mutual information detecting transitions more sharply than global entropies.