Exactly Solvable Models of Adaptive Networks

Exactly solvable models of nuclei

" If politics is the art of the possible, research is surely the art of the soluble [1] " 1. Introduction

Exactly Solvable Models of Generalized Spin Ladders

We study S = 1 2 spin ladder systems with isotropic exchange interactions between spins on neighboring rungs. We show that a ladder with suitable diagonal and biquadratic interactions is integrable in the sense that the quantum Yang-Baxter equation holds and one has an infinite number of conserved quantities. We give the R-matrix and L-operator associated with the ladder model. The model can be...

Exactly Solvable Models of Baryon Structure

We present a qualitative analysis of the gross features of baryon spec-troscopy (masses and form factors) in terms of various exactly solvable models. It is shown that a collective model, in which baryon resonances are interpreted as rotations and vibrations of an oblate symmetric top, provides a good starting point for a more detailed quantitative study.

Exactly Solvable Models of Biological Invasion

Comprehensive analysis of conditionally exactly solvable models

We study a quantum mechanical potential introduced previously as a conditionally exactly solvable (CES) model. Besides an analysis following its original introduction in terms of the point canonical transformation, we also present an alternative supersymmetric construction of it. We demonstrate that from the three roots of the implicit cubic equation defining the boundstate energy eigenvalues, ...