10 citations · 26 across the 11 of their papers we have counts for
11 papers
Ground-state energy of a Richardson-Gaudin integrable BCS model
Yibing Shen, Phillip S. Isaac, Jon Links
We investigate the ground-state energy of a Richardson-Gaudin integrable BCS model, generalizing the closed and open p+ip models. The Hamiltonian supports a family of mutually comm…
Kähler Finsler Metrics and Conformal Deformations
Bin Chen, Yibing Shen, Lili Zhao
The conformal properties of complex Finsler metrics are studied. We give a characterization of a compact complex Finsler manifold to be globally conformal Kähler. The critical poin…
Ground-state energies of the open and closed -pairing models from the Bethe Ansatz
Yibing Shen, Phillip S. Isaac, Jon Links
Using the exact Bethe Ansatz solution, we investigate methods for calculating the ground-state energy for the -pairing Hamiltonian. We first consider the Hamiltonian isolat…
Exact ground-state correlation functions of an atomic-molecular boson conversion model
Jon Links, Yibing Shen
We study the ground-state properties of an atomic-molecular boson conversion model through an exact Bethe Ansatz solution. For a certain range of parameter choices, we prove that t…
Improved Hardy and Rellich inequalities on nonreversible Finsler manifolds
Lixia Yuan, Wei Zhao, Yibing Shen
In this paper, we study the sharp constants of quantitative Hardy and Rellich inequalities on nonreversible Finsler manifolds equipped with arbitrary measures. In particular, these…
Nontrivial minimal surfaces in a hyperbolic Randers space
Ningwei Cui, Yi-Bing Shen
The contribution of this paper is two-fold. The first one is to derive a simple formula of the mean curvature form for a hypersurface in the Randers space with a Killing field, by…