Arrival times, complex potentials, and decoherent histories

JJ Halliwell, JM Yearsley - Physical Review A—Atomic, Molecular, and Optical …, 2009 - APS
We carry out a decoherent-histories analysis of the arrival-time problem, taking advantage of
a recently demonstrated connection between time-ordered strings of projection operators …

Resummation for quantum propagators in bounded spaces

JP Edwards, VA González-Domínguez, I Huet… - Physical Review E, 2022 - APS
We outline an approach to calculating the quantum mechanical propagator in the presence
of geometrically nontrivial Dirichlet boundary conditions. The method is based on a …

Particle partition entanglement of bosonic Luttinger liquids

CM Herdman, A Del Maestro - Physical Review B, 2015 - APS
We consider the Rényi entanglement entropy of bosonic Tomonaga-Luttinger liquids under
a particle bipartition and demonstrate that the leading order finite-size scaling is logarithmic …

On the quantum mechanical scattering from a potential step

VF Los, AV Los - Journal of Physics A: Mathematical and …, 2010 - iopscience.iop.org
The problem of finding the exact spacetime particle's propagator in the presence of a
potential step (interface between different materials) is revisited. In contrast to the …

Space–time histories approach to fast stochastic simulation of bimolecular reactions

T Prüstel, M Meier-Schellersheim - The Journal of Chemical Physics, 2021 - pubs.aip.org
Computational models of reaction–diffusion systems involving low copy numbers or strongly
heterogeneous molecular spatial distributions, such as those frequently found in cellular …

On the relationship between complex potentials and strings of projection operators

JJ Halliwell, JM Yearsley - Journal of Physics A: Mathematical …, 2010 - iopscience.iop.org
It is of interest in a variety of contexts, and in particular in the arrival time problem, to
consider the quantum state obtained through unitary evolution of an initial state regularly …

Quantum non-barking dogs

SI Walker, PCW Davies, P Samantray… - New Journal of …, 2014 - iopscience.iop.org
Quantum weak measurements with states both pre-and post-selected offer a window into a
hitherto neglected sector of quantum mechanics. A class of such systems involves time …

Aspects of time in quantum theory

JM Yearsley - arXiv preprint arXiv:1110.5790, 2011 - arxiv.org
We consider a number of aspects of the problem of defining time observables in quantum
theory. Time observables are interesting quantities in quantum theory because they often …

Unified path integral approach to theories of diffusion-influenced reactions

T Prüstel, M Meier-Schellersheim - Physical Review E, 2017 - APS
Building on mathematical similarities between quantum mechanics and theories of diffusion-
influenced reactions, we develop a general approach for computational modeling of …

Once again on quantum propagator for the step potential

G Krylov, M Belov - AIP Conference Proceedings, 2012 - pubs.aip.org
We present one another consideration of the propagator for a quantum particle in the
presence of the step potential. This problem has been under treatment several times both as …