Scalar Symmetries of the Hubbard Models with Variable Range Hopping

Abstract

Examples of scalar conserved currents are presented for trigonometric, hyperbolic and elliptic versions of the Hubbard model with non-nearest neighbour variable range hopping. They support for the first time the hypothesis about the integrability of the elliptic version. The two- electron wave functions are constructed in an explicit form.

9 pages, LaTex2e, no figures

References in corpus (4)

• Yang-Baxter equation in spin chains with long range interactions
• The Yangian Symmetry of the Hubbard Models with Variable Range Hopping
• Integrals of motion of the Haldane Shastry Model
• Charge and Spin Gap Formation in Exactly Solvable Hubbard Chains with Long-Rang Hopping

Cited by in corpus (1)

• Study of ${\pi }^0$ and $\eta$ decays containing dilepton