A set of Jastrow wave functions comprises exact eigenstates of a family of S= $\frac{1}{2}$ antiferromagnetic chains with ${\mathrm{r}}^{\mathrm{\ensuremath{-}}2}$ exchange. The ground state of the isotropic model is in this set, and is identical to the U\ensuremath{\rightarrow}\ensuremath{\infty} limit of the Gutzwiller wave function, also identified as Anderson's ``resonating-valence-bond'' state. The full set of energy levels of this model is obtained; the spectrum exhibits remarkable ``supermultiplet'' degeneracies suggesting the existence of a hidden continuous symmetry.A set of Jastrow wave functions comprises exact eigenstates of a family of S= $\frac{1}{2}$ antiferromagnetic chains with ${\mathrm{r}}^{\mathrm{\ensuremath{-}}2}$ exchange. The ground state of the isotropic model is in this set, and is identical to the U\ensuremath{\rightarrow}\ensuremath{\infty} limit of the Gutzwiller wave function, also identified as Anderson's ``resonating-valence-bond'' state. The full set of energy levels of this model is obtained; the spectrum exhibits remarkable ``supermultiplet'' degeneracies suggesting the existence of a hidden continuous symmetry.

Physical Review LettersFeb 15, 1988836 citations

Properties of the Gutzwiller Wavefunction

Robert Joynt, Claudius Gros, Thomas Maurice Rice

Springer eBooksJan 1, 19870 citations

A set of Jastrow wave functions comprises exact eigenstates of a family of S=

\frac{1}{2}

antiferromagnetic chains with ${\mathrm{r}}^{\mathrm{\ensuremath{-}}2}$ exchange. The ground state of the isotropic model is in this set, and is identical to the U\ensuremath{\rightarrow}\ensuremath{\infty} limit of the Gutzwiller wave function, also identified as Anderson's ``resonating-valence-bond'' state. The full set of energy levels of this model is obtained; the spectrum exhibits remarkable ``supermultiplet'' degeneracies suggesting the existence of a hidden continuous symmetry.