We study the behaviour of continuous automorphism groups of quantum spin systems on the lattice. Whereas the shift is norm asymptotically abelian continuous automorphism groups can lead only to delocalization but not to norm asymptotic abelianess. As a consequence the shift does not allow a continuous extension.
Observer-based Hamiltonian identification for quantum systems
Quantum Systems with Linear Constraints and Quadratic Hamiltonians
Quantum Spin Systems after DLS1978
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