Abstract
The methods of Bethe and Hulthén are used to build spin-wave states for the antiferromagnetic linear chain. These states, of spin 1 and translational quantum number , are eigenstates of the Hamiltonian with periodic boundary conditions. For an infinite chain, their spectrum is , whereas Anderson's spin-wave theory gives . For finite chains it has been verified by numerical computation that these states are the lowest states of given , but no rigorous proof has been given for an infinite chain.
- Received 30 July 1962
DOI:https://doi.org/10.1103/PhysRev.128.2131
©1962 American Physical Society