Explicit Plancherel theorem for ground state representation of the Heisenberg chain
AUTOR(ES)
Babbitt, Donald G.
RESUMO
In its ground state representation, the infinite spin 1/2 Heisenberg chain provides a model for spin wave scattering that entails many features of the quantum mechanical N-body problem. Here, we give a complete eigenfunction expansion for the Hamiltonian of the chain in this representation, for all numbers of spin waves. Our results resolve the questions of completeness and orthogonality of the eigenfunctions given by Bethe for finite chains, in the infinite volume limit.
ACESSO AO ARTIGO
http://www.pubmedcentral.nih.gov/articlerender.fcgi?artid=430486Documentos Relacionados
- A representation of the Virasoro algebra via Wigner-Heisenberg algebraic technique to bosonic systems
- NOTE ON THE EQUATION OF STATE EXPLICIT IN THE VOLUME
- Accurate Gaussian basis sets for the ground state of the CS molecule
- Generalizations of the Riesz Representation Theorem
- THE PLANCHEREL FORMULA FOR SL(2) OVER A LOCAL FIELD*