73 citations · 490 across the 33 of their papers we have counts for
33 papers
Solutions of Painlevé II on real intervals: novel approximating sequences
A. J. Bracken
Novel sequences of approximants to solutions of Painlevé II on finite intervals of the real line, with Neumann boundary conditions, are constructed. Numerical experiments strongly…
Remarks on Quantum Probability Backflow
A. J. Bracken, J. B. McGuire
It is known that for a non-relativistic quantum particle traveling freely on the -axis, the positional probability can flow in the opposite direction to the particle's velocity.…
Waiting for the Quantum Bus
A. J. Bracken, G. F. Melloy
Forty-five years after the discovery of the peculiar quantum effect known as `probability backflow', and twenty years after the greatest possible size of the effect was characteriz…
Massless Dirac particle in a stochastic magnetic field: A solvable quantum walk approximation
A. J. Bracken, D. Ellinas, I. Smyrnakis
A massless Dirac particle is considered, moving along the x-axis while Pauli-coupled by its anomalous magnetic moment to a piecewise constant magnetic field along the same axis, wi…
Discrete Randomness in Discrete Time Quantum Walk: Study via Stochastic Averaging
D. Ellinas, A. J. Bracken, I. Smyrnakis
The role of classical noise in quantum walks (QW) on integers is investigated in the form of discrete dichotomic random variable affecting its reshuffling matrix parametrized as a…
Planck's Other Quanta: Corpuscular Electrodiffusion
L. Bass, A. J. Bracken
When Bäcklund transformations are applied repeatedly to any solution of the nonlinear equations describing electrodiffusion through a liquid junction separating two infinite well-s…