Initially, it had been considered impossible to set out a description of photon trajectories in the de Broglie–Bohm theory in view of the difficulties of describing bosons relativistically. In 1996, Partha Ghose presented a relativistic quantum-mechanical description of spin-0 and spin-1 bosons starting from the Duffin–Kemmer–Petiau equation, setting out Bohmian trajectories for massive bosons and for massless bosons (and therefore photons). In 2001, Jean-Pierre Vigier emphasized the importance of deriving a well-defined description of light in terms of particle trajectories in the framework of either the Bohmian mechanics or the Nelson stochastic mechanics., therein: section 3. Conclusions, page 399. The same year, Ghose worked out Bohmian photon trajectories for specific cases. Subsequent weak-measurement experiments yielded trajectories that coincide with the predicted trajectories.Sacha Kocsis, Sylvain Ravets, Boris Braverman, Krister Shalm, Aephraim M. Steinberg: "Observing the trajectories of a single photon using weak measurement" 19th Australian Institute of Physics (AIP) Congress, 2010. The significance of these experimental findings is controversial.
iNItiAlly, It had beeN cOnsiDeRed iMpOSsibLe tO SeT OuT a DescrIption of PhotOn trAJeCTOriEs In THE dE broglie–bohM theorY In view of tHE DifFicUltieS Of deScribing BOsoNs RelAtiviSTIcaLlY. in 1996, parTha ghOse presenTed a relAtivisTIC QuanTum-mecHaNicaL deScripTion of spin-0 And Spin-1 bosons StarTing fRoM tHe dUffin–kemmEr–PEtIAu equatiOn, sEttinG ouT bohMiAN tRajeCTOrieS For mAssive boSOns And for MAsSlEsS boSonS (and thereFore photOns). in 2001, JeAn-pierre vigier eMpHasized thE impORTaNce oF DerivInG a Well-defINeD desCrIPtiOn Of liGht in terMs of pArTIcle tRaJEctoRies iN tHE frAMEWork of EitHER The bohmIAN mecHanicS or thE NelSoN stochaStIc meChANicS., TheRein: secTIon 3. CoNClUsiOnS, page 399. the saME yeAr, ghose wOrKed out bOHmIaN pHoton TrAjecToriES FoR spECiFIc Cases. subseqUent wEAK-mEASURement eXperimentS yIelded tRAjEcTOries ThAt coinciDE wIth THe PredictEd trajeCtoRIes.saCha kocSis, Sylvain rAVETS, bORis brAverman, krisTEr sHalM, aepHRAiM M. STEINberG: "ObsErVING ThE TrAJectoriEs of A SiNgle photon USiNg weak measuREmEnT" 19tH AustrAlian InstItuTe of PHysicS (aIP) congrEsS, 2010. the significanCE of theSe ExperimEnTaL Findings is ControVeRsiaL.