We consider the elliptic Gaudin-type model in an external magnetic field
[11],[12],[13],[16],[15],[22] associated with non-skew-symmetric elliptic r-matrix [11] defined …

Central spin models provide an idealized description of interactions between a central
degree of freedom and a mesoscopic environment of surrounding spins. We show that the …

We present the inner products of eigenstates in integrable Richardson-Gaudin models from
two different perspectives and derive two classes of Gaudin-like determinant expressions for …

We consider the limiting j 3→∞ case of the elliptic Gaudin-type model in an external
magnetic field [13],[14],[15],[17],[27] and of the elliptic BCS-Richardon model with one type of …

We consider the elliptic Gaudin-type model in an external magnetic field (Skrypnyk T 2005
Phys. Lett. A 334 390–9; Skrypnyk T 2005 Phys. Lett. A 347 266–7; Skrypnyk T 2006 J …

We establish the most general class of spin-1/2 integrable Richardson-Gaudin models
including an arbitrary magnetic field, returning a fully anisotropic (XYZ) model. The …

In this article we make a brief review of the generalized Gaudin spin chains with [21] and
without [18],[19] external magnetic field in the simplest case of g= so (3) and provide the r …

We construct a Q-operator for the open XXZ Heisenberg quantum spin chain with diagonal
boundary conditions and give a rigorous derivation of Baxter's TQ relation. Key roles in the …

We consider a generalization of the p+ ip pairing Hamiltonian, with external interaction terms
of a particular form. These terms allow for the exchange of particles between the system and …

This thesis presents an introduction to the class of Richardson-Gaudin integrable models,
with special focus on the Bethe ansatz wave function, and investigates ways of applying the …