Quick search Find article
Quick search
Find article

New integrable extension of the Hubbard chain with variable range hopping

Shuichi Murakami

Show affiliations


A new integrable variant of the one-dimensional Hubbard model with variable-range correlated hopping is studied. The Hamiltonian is constructed by applying the quantum inverse scattering method on the infinite interval at zero density to the one-parameter deformation of the L-matrix of the Hubbard model. By construction, this model has symmetry in the infinite chain limit. Multiparticle eigenstates of the model are investigated by using this method.


PACS

71.10.Fd Lattice fermion models (Hubbard model, etc.)

03.65.Nk Scattering theory

02.30.Ik Integrable systems

MSC

37K15 Integration of completely integrable systems by inverse spectral and scattering methods

37J35 Completely integrable systems, topological structure of phase space, integration methods

81U40 Inverse scattering problems

Subjects

Mathematical physics

Condensed matter: electrical, magnetic and optical

Quantum information and quantum mechanics

Dates

Issue 30 (31 July 1998)

Received 6 February 1998



Related review articles

What's this?
View review articles related to this research to gain an insight into the key trends in this subject area. Related review articles are selected based on PACS/MSC codes, and are no more than three years old.

  1. Integrable structure of box–ball systems: crystal, Bethe ansatz, ultradiscretization and tropical geometry
  2. Trajectory attractors of equations of mathematical physics
  3. Spectral problems in open quantum chaos
More

View by subject




Export








Please login to access our web services, or create an account if you don't yet have one.

You must have cookies enabled in your web browser to be able to login.

Username
Password

Forgotten your password? Get a new one here.