Strict non-tightness of the level-3 quantum bootstrap for a natural three-dimensional Hamiltonian, at an excited level

quant-ph, math-ph, math.MP

Submitted: 2026-10-02

Updated: 2026-10-07

Comments: 14 pages. Code and certificates included as ancillary files. Updated reference to companion paper arXiv:2610.07775; results unchanged

License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/

Sources

• Bootstrapping Simple QM Systems
• Stationarity is not enough: tightness of the quantum mechanical bootstrap and the copositive cone
• Convergence Without Finite Exactness in the Eigenstate Quantum Bootstrap
• Bootstrapping the Kronig-Penney Model
• High-Precision Bootstrap of Multimatrix Quantum Mechanics
• Quantum bootstrap for central potentials

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