178 citations · 981 across the 75 of their papers we have counts for
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math-ph2022★ 1 cited
On propagation of information in quantum many-body systems
Israel Michael Sigal, Jingxuan Zhang
We prove bounds on the minimal time for quantum messaging, propagation/creation of correlations, and control of states for general lattice quantum many-body systems. The proofs are…
math-ph2022★ 1 cited
Instability of electroweak homogeneous vacua in strong magnetic fields
Adam Gardner, Israel Michael Sigal
We consider the classical vacua of the Weinberg-Salam (WS) model of electroweak forces. These are no-particle, static solutions to the WS equations minimizing the WS energy locally…
math-ph2022
Differential Equations of Quantum Mechanics
Israel Michael Sigal
We review very briefly the main mathematical structures and results in some important areas of Quantum Mechanics involving PDEs and formulate open problems.