A CLASS OF ENERGY LEVELS FOR THE HEISENBERG LINEAR CHAIN. 2. LEVELS NEAR THE ANTIFERRO MAGNETIC GROUND STATE
CALIFORNIA UNIV SAN DIEGO LA JOLLA
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The distribution of unbound states in the Bethe formalism for the linear chain of spin 12 atoms with a Heisenbert exchange interaction between nearest neighbors is investigated in the vicinity of the antiferromagnetic ground state, utilizing the spin wave states discovered by des Cloizeaux and Pearson. An upper bound is obtained for the free energy of the anti ferromagnetic chain at very low temperatures. Plausible arguments are presented to show that the unbound states actually make a negligible contribution to the partition function of an infinite chain, at least in the absence of a magnetic field.
- Electricity and Magnetism
- Quantum Theory and Relativity