90 citations · 201 across the 16 of their papers we have counts for
16 papers
Some spectral equivalences between Schrodinger operators
C. Dunning, K. E. Hibberd, J. Links
Spectral equivalences of the quasi-exactly solvable sectors of two classes of Schrodinger operators are established, using Gaudin-type Bethe ansatz equations. In some instances the…
Bethe Ansatz Solutions of the Bose-Hubbard Dimer
Jon Links, Katrina E. Hibberd
The Bose-Hubbard dimer Hamiltonian is a simple yet effective model for describing tunneling phenomena of Bose-Einstein condensates. One of the significant mathematical properties o…
Scattering theories for the 1D Hubbard model
J. M. P. Carmelo, K. E. Hibberd, N. Andrei
In one-dimensional (1D) non-perturbative many-electron problems such as the 1D Hubbard model the electronic charge and spin degrees of freedom separate into exotic quantum objects.…
A Bethe ansatz solvable model for superpositions of Cooper pairs and condensed molecular bosons
K. E. Hibberd, C. Dunning, J. Links
We introduce a general Hamiltonian describing coherent superpositions of Cooper pairs and condensed molecular bosons. For particular choices of the coupling parameters, the model i…
On quantum phase crossovers in finite systems
Clare Dunning, Katrina E. Hibberd, Jon Links
In this work we define a formal notion of a quantum phase crossover for certain Bethe ansatz solvable models. The approach we adopt exploits an exact mapping of the spectrum of a m…
Analysis of static and spherically-symmetric solutions in NDL theory of gravitation
M. Novello, S. E. Perez Bergliaffa, K. E. Hibberd
We investigate a static solution with spherical symmetry of a recently proposed field theory of gravitation. In this so-called NDL theory, matter interacts with gravity in accordan…