60 citations · 152 across the 11 of their papers we have counts for
11 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…
Numerical simulations of nonlinear modes in mica: past, present and future
J. Bajars, J. C. Eilbeck, B. Leimkuhler
We review research on the role of nonlinear coherent phenomena (e.g breathers and kinks) in the formation linear decorations in mica crystal. The work is based on a new model for t…
Quantization of β-Fermi-Pasta-Ulam Lattice with Nearest and Next-nearest Neighbour Interactions
Aniruddha Kibey, Rupali Sonone, Bishwajyoti Dey +1
We quantize the β-Fermi-Pasta-Ulam (FPU) model with nearest and next-nearest neighbour interactions using a number conserving approximation and a numerical exact diagonalization me…
Some New Addition Formulae for Weierstrass Elliptic Functions
J. Chris Eilbeck, Matthew England, Yoshihiro Ônishi
We present new addition formulae for the Weierstrass functions associated with a general elliptic curve. We prove the structure of the formulae in n-variables and give the explicit…
Some addition formulae for Abelian functions for elliptic and hyperelliptic curves of cyclotomic type
J. C. Eilbeck, S. Matsutani, Y. Onishi
We discuss a family of multi-term addition formulae for Weierstrass functions on specialized curves of genus one and two with many automorphisms. In the genus one case we find new…
Fast energy transfer mediated by multi-quanta bound states in a nonlinear quantum lattice
Cyril Falvo, Vincent Pouthier, J. C. Eilbeck
By using a Generalized Hubbard model for bosons, the energy transfer in a nonlinear quantum lattice is studied, with special emphasis on the interplay between local and nonlocal no…