Backflow in relativistic wave equations

I Bialynicki-Birula, Z Bialynicka-Birula… - Journal of Physics A …, 2022 - iopscience.iop.org
We show that, contrary to the statements made by many authors, the backflow is not a
nonclassical effect. The backflow is a characteristic feature of solutions of the wave …

Probability flow for a free particle: new quantum effects

AJ Bracken - Physica Scripta, 2021 - iopscience.iop.org
New quantum probability flow bounds and associated eigenfunctions are determined
numerically for a free non-relativistic particle, with momentum lying in the range (p 0,∞), for …

Observation of single-photon azimuthal backflow with weak measurement

ZF Zhang, PF Huang, SC Dong, YX Rong, JS Xu… - Optics Letters, 2025 - opg.optica.org
Quantum backflow (QB), a counterintuitive interference phenomenon where particles with
positive momentum can propagate backward, is important in applications involving light …

Unbounded quantum backflow in two dimensions

M Barbier, A Goussev, SCL Srivastava - Physical Review A, 2023 - APS
Quantum backflow refers to the counterintuitive fact that the probability can flow in the
direction opposite to the momentum of a quantum particle. This phenomenon has been seen …

Quantum backflow in a ring

A Goussev - Physical Review A, 2021 - APS
Free motion of a quantum particle with the wave function entirely comprised of plane waves
with non-negative momenta may be accompanied by negative probability current, an effect …

Quantum backflow current in a ring: Optimal bounds and fractality

A Goussev, F Quinque, J Joo, A Burbanks - Physical Review A, 2024 - APS
The probability density of a quantum particle moving freely within a circular ring can exhibit
local flow patterns inconsistent with its angular momentum, a phenomenon known as …

Scattering times of quantum particles from the gravitational potential and equivalence principle violation

D Demir - Physical Review A, 2022 - APS
Universality of motion under gravity, the equivalence principle, is violated for quantum
particles. Here, we study the time it takes for a quantum particle to scatter from the …

Equivalence between quantum backflow and classically forbidden probability flow in a diffraction-in-time problem

A Goussev - Physical Review A, 2019 - APS
Quantum backflow is an interference effect in which a matter-wave packet comprised of only
plane waves with non-negative momenta exhibits negative probability flux. Here we show …

Probability backflow for correlated quantum states

A Goussev - Physical Review Research, 2020 - APS
In its original formulation, quantum backflow (QB) is an interference effect that manifests
itself as a negative probability transfer for free-particle states comprised of plane waves with …

Comment on 'Backflow in relativistic wave equations'

AJ Bracken, GF Melloy - Journal of Physics A: Mathematical and …, 2023 - iopscience.iop.org
Criticisms and a claim in the recent paper Backflow in relativistic wave equations by
Bialynicki–Birula et al 2022 J. Phys. A: Math. Theor. 55 255702 are addressed, and it is …