activity
20052025
most citedThe Divine Clockwork: Bohr's correspondence principle and Nelson's stochastic mechanics for the atomic elliptic state

9 citations · 15 across the 11 of their papers we have counts for

collaborators

11 papers

math-ph2025

NQG III -- Two-Centre Problems, Whirlpool Galaxy and Toy Neutron Stars

Richard Durran, Aubrey Truman

In the hunt for WIMPish dark matter and testing our new theory, we extend the results obtained for the Kepler problem in NQG I and NQG II to the Euler two-centre problem and to oth…

gr-qc2023

Newtonion Quantum Gravity, WIMPs and Celestial Mechanics -- Summary of Results

Richard Durran, Andrew Neate, Aubrey Truman

We discuss the leading term in the semi-classical asymptotics of Newtonian quantum gravity for the Kepler problem. For dark matter, ice or dust particles in the gravitational field…

math-ph2022

3-Body Problems, Hidden Constants, Trojans and WIMPs

Aubrey Truman, Richard Durran

This work includes two new results - principally two new constants of motion for the linearised restricted 3-body problem (e.g. for the Trojan asteroids) and an important isosceles…

math-ph2010

The Gough-James Theory of Quantum Feedback Networks in the Belavkin Representation

O. G. Smolyanov, A. Truman

The mathematical theory of quantum feedback networks has recently been developed by Gough and James \cite{QFN1} for general open quantum dynamical systems interacting with bosonic…

math.PR2010

A Burgers-KPZ Type Parabolic Equation \par\noindent for the Path-Independence of the Density of the Girsanov Transformation

A. Truman, F. -Y. Wang, J. -L. Wu +1

Let solve the multidimensional Itô's stochastic differential equations on where is smooth in its two a…

quant-ph2008★ 5 cited

On the divine clockwork: the spectral gap for the correspondence limit of the Nelson diffusion generator for the atomic elliptic state

Richard Durran, Andrew Neate, Aubrey Truman +1

The correspondence limit of the atomic elliptic state in three dimensions is discussed in terms of Nelson's stochastic mechanics. In previous work we have shown that this approach…