Daniel Keren

collaborators

3 papers

math-ph2026

Convergence Without Finite Exactness in the Eigenstate Quantum Bootstrap

Ye Zhou, Daniel Keren

The eigenstate quantum-mechanical bootstrap can converge to the physical moment set while remaining nonexact at every finite order. We prove this for a one-dimensional quasi-exactl…

quant-ph2026

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

Daniel Keren, Ye Zhou

For the coupled three-dimensional double well $H = \frac{1}{2} ∣ p ∣^{2} + 2 \sum_{i} (q_{i}^{2} - 1)^{2} - \sum_{i < j} q_{i}^{2} q_{j}^{2}$ we exhibit, at the first excited energy level (and also at the ground state)…

math.RA2026

Homogeneous symmetric trace-positive sextics with vanishing abelianization are sums of Hermitian squares and commutators

Daniel Keren

Let $R ⟨ X, Y ⟩$ be the free algebra on two symmetric letters. A polynomial is trace-positive if it has non-negative trace on every pair of real symmetric matrice…