[institut] SEMINAR
Branko Kolarić
bkolaric at ipb.ac.rs
Thu Mar 12 12:36:51 CET 2026
Dear colleagues,
The Nanophotonics Lab and Photonics section of the Society of Physical
Chemists of Serbia organized a joint event in the framework of the
Photonics Center seminar, which will be held on Thursday, 9th April 2026
at 15:00, in the library reading room "Dr. Dragan Popović" of the
Institute of Physics Belgrade.
The talk, entitled "Where Does the Quantum Particle Go? Quantum Paths
and Probability Flow," will be given by Dr. Mohamed Hatifi, Research
Scientist at Institut Fresnel and Adjunct Lecturer at Centrale
Méditerranée, Aix-Marseille Univ, France.
The abstract of the talk:
Quantum theory has changed how we interpret what was commonly called
”physical reality”. In the Copenhagen interpretation of quantum
mechanics, properties of a quantum system, such as position, are not
assigned definite values before measurement. In 1927, during the Solvay
conference, Louis de Broglie proposed an alternative response to this
tension. He aimed to restore determinism and realism, and to bring the
notion of trajectory back to the foreground. David Bohm later
rediscovered and extended this idea, leading to the pilot-wave
formulation of quantum mechanics, famously praised by John Bell as a
striking way to rewrite quantum dynamics in deterministic terms. The
talk then develops a unifying ”probability-flow” viewpoint in which
quantum dynamics is organized around a probability density ρ and an
associated current J linked by a continuity equation. Trajectories arise
as the natural flow lines of this current, or in stochastic variants as
paths generated by drift and diffusion that reproduce the same
continuity structure. In this language, the Born rule ρ = |ψ|2 is not
treated as an external measurement axiom, but as a distinguished
equilibrium distribution that is transported consistently by the
trajectory dynamics, meaning that it is preserved in time. The
conceptual status of quantum equilibrium is discussed in terms of
typicality arguments and dynamical relaxation mechanisms. The same
construction carries over across markedly different regimes:
nonrelativistic matter waves governed by the Schro ̈dinger equation;
relativistic spin-1/2 dynamics governed by the Dirac equation;
diffusion-based trajectory theories in the spirit of Nelson; and wave or
field settings where, in suitable field descriptions, energy-flow lines
provide a path-like account for photons.
You are all kindly invited to Dr. Mohamed Hatifi's lecture.
Best Regards,
Branko Kolaric on behalf of Nanophotonics Lab
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