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.
For each sampled value oft, the real critical points of the cubic were obtained by solving ∂xP3(x, y;t) = 0, ∂ yP3(x, y;t) = 0
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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.