On the Ground State of Ferromagnetic Hamiltonians

Details On the Ground State of Ferromagnetic Hamiltonians On the Ground State of Ferromagnetic Hamiltonians

2000-12-28

arxiv.org/abs/math-ph/0012048v1

Physics

Mathematical Physics

7 pages

Scientific paper

It is generally believed that the ground state of the ferromagnetic
Heisenberg-Dirac-Van Vleck Hamiltonians acting on s=1/2 spins of a lattice with
N sites has the maximal possible value of the total spin S=N/2 and is N+1 times
degenerate. We present a rigorous proof of this statement, independent of the
lattice dimension and topology.

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