14 citations · 14 across the 2 of their papers we have counts for
4 papers
Exact analytic multi-quanta states of the Davydov Dimer
C. Athorne, L. Cruzeiro, J. C. Eilbeck
The Davydov model describes amide I energy transfer in proteins without dispersion or dissipation. In spite of five decades of study, there are few exact analytical results, especi…
Laplace maps and constraints for a class of third order partial differential operators
Chris Athorne
We explore the existence of a class of generalised Laplace maps for third order partial differential operators of the form \[\partial_1\partial_2\partial_3+a_1\partial_2\partial_3+…
Invariants of hyperbolic Partial Differential Operators
Chris Athorne, Halis Yilmaz
We present a construction of a large class of Laplace invariants for linear hyperbolic partial differential operators of fairly general form and arbitrary order.
Identities for hyperelliptic P-functions of genus one, two and three in covariant form
Chris Athorne
We give a covariant treatment of the quadratic differential identities satisfied by the P-functions on the Jacobian of smooth hyperelliptic curves of genera 1, 2 and 3.