48 citations · 157 across the 7 of their papers we have counts for
7 papers
Unique factor ordering in the continuum limit of LQC
William Nelson, Mairi Sakellariadou
We show that the factor ordering ambiguities associated with the loop quantisation of the gravitational part of the cosmological Hamiltonian constraint, disappear at the level of W…
On the possibility of Dark Energy from corrections to the Wheeler-De Witt equation
William Nelson, Mairi Sakellariadou
We present a method for approximating the effective consequence of generic quantum gravity corrections to the Wheeler-DeWitt equation. We show that in many cases these corrections…
Lattice Refining LQC and the Matter Hamiltonian
William Nelson, Mairi Sakellariadou
In the context of loop quantum cosmology, we parametrise the lattice refinement by a parameter, , and the matter Hamiltonian by a parameter, . We then solve the Hamiltonian c…
The probability of inflation in Loop Quantum Cosmology
William Nelson
The probability of there being sufficient inflation to solve the fine-tuning associated with the horizon and flatness problems has recently been shown to be exponentially small, wi…
Lattice Refining Loop Quantum Cosmology and Inflation
William Nelson, Mairi Sakellariadou
We study the importance of lattice refinement in achieving a successful inflationary era. We solve, in the continuum limit, the second order difference equation governing the quant…
Self-interaction in Green's-function theory of the hydrogen atom
W. Nelson, P. Bokes, Patrick Rinke +1
Atomic hydrogen provides a unique test case for computational electronic structure methods, since its electronic excitation energies are known analytically. With only one electron,…