Integrability of the Russian doll BCS model

We show that integrability of the BCS model extends beyond Richardson's model (where all Cooper pair scatterings have equal coupling) to that of the Russian doll BCS model for which the couplings have a particular phase dependence that breaks time-reversal symmetry. This model is shown to be integrable using the quantum inverse scattering method, and the exact solution is obtained by means of the algebraic Bethe ansatz. The inverse problem of expressing local operators in terms of the global operators of the monodromy matrix is solved. This result is used to find a determinant formulation of a correlation function for fluctuations in the Cooper pair occupation numbers. These results are used to undertake exact numerical analysis for small systems at half-filling.

Christian Thomasius and the desacralization of philosophy

Despite his significance in early modern Germany, where he was well-known as a political and moral philosopher, jurist, lay-theologian, social and educational reformer, Christian Thomasius (1655-1728) is little known in the world of Anglophone scholarship. 1 Unlike those of his mentor, Samuel Pufendorf, none of Thomasius's works was translated into English, when, at the end of the seventeenth century, English thinkers were searching for a final settlement to the religious question. None has been translated since. Moreover, while Thomasius has been subject to increasing scholarly attention in Germany since the 1970s, where he has been treated largely as a representative of the "early Enlightenment," there is very little secondary literature on him in English. 2 Things are however beginning to change in this regard, with recent research already giving rise to important new Anglophone books and essays. 3 Knud Haakonssen's article on [End Page 595] Thomasius for the new Routledge Encyclopedia of Philosophy might well be a straw in the wind