Sticky eigenstates in systems with sharply divided phase space

arXiv:2512.05627 · cond-mat.stat-mech, quant-ph · Submitted 2025-12-05 · Read on arXiv

cond-mat.stat-mech, quant-ph

Submitted: 2025-12-05

Updated: 2026-09-29

Terminology

• Quantization — 5× in this paper · explained in 12 episodes
• Hilbert Space — 3× in this paper · explained in 2 episodes
• Alignment — 1× in this paper · explained in 1 episode
• Consistency — 1× in this paper · explained in 3 episodes

Sources

• Quantum chaos and semiclassical behavior in mushroom billiards I: Spectral statistics
• Quantum chaos and semiclassical behavior in mushroom billiards II: Structure of quantum eigenstates and their phase space localization properties

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