In one dimension the nature of correlations in the antiferromagnetic Heisenberg model depends on the spin of the magnetic dipoles.

The Heitler-London considerations can be generalized to the Heisenberg model of magnetism (Heisenberg 1928).

In systems with symmetries, we may have conserved quantum numbers, such as total spin in a Heisenberg model (quantum).

The Classical Heisenberg model is the case of the n-vector model, one of the models used in statistical physics to model ferromagnetism, and other phenomena.

The general mathematical formalism used to describe and solve the Heisenberg model and certain generalizations is developed in the article on the Potts model.

The Heisenberg model thus cannot explain the observed ferromagnetism in these materials.

The Heisenberg model can refer to two models in statistical mechanics:

The J1-J2 model is a quantum spin model like the Heisenberg model but also includes a term for the interaction between next-nearest neighbor spins.

The model differs from similar spin-models such as the Ising model and the Heisenberg model in that it includes a term analogous to kinetic energy.

The expression finally, is the scalar product between the Mn spin-vector operators (Heisenberg model).