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Dissertation
CC BY 4.0
2025

On Entanglement Entropy for magnetic Hamiltonians

This doctoral thesis concerns the entanglement entropy of ideal Fermi gases subject to some simple magnetic Hamiltonians in the asymptotic for large domains. To mathematically formalize this, we first introduce a Hamiltonian operator H acting on a dense subset of L2(ℝd) for d≤3. It describes the kinetic…