A Power-Liouville Hermite Orbit: Common Spectral Quantization of the Singular Sextic Oscillator and Fractional-Power Potentials

arXiv:2610.11533 · quant-ph · Submitted 2026-10-08 · Read on arXiv

quant-ph

Submitted: 2026-10-08

Updated: 2026-10-08

Terminology

• Quantization — 27× in this paper · explained in 12 episodes
• Degeneracy — 3× in this paper · explained in 3 episodes
• Accuracy — 2× in this paper · explained in 1 episode
• Core — 2× in this paper · explained in 2 episodes
• Consistency — 1× in this paper · explained in 3 episodes

Sources

• Generalized Hermite Polynomials and Spectral Degeneracies of a Singular Sextic Oscillator
• A Schr\"odinger potential involving $x^\frac{2}{3}$ and centrifugal-barrier terms conditionally integrable in terms of the confluent hypergeometric functions

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