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.
These amplitudes are comparable near t= 1/ √ 2, where the cubic approaches a close-branch regime
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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.