• Corpus ID: 118882052

Surprises in the relativistic free-particle quantization on the light-front

@inproceedings{ATSuzuki2004SurprisesIT,
  title={Surprises in the relativistic free-particle quantization on the light-front},
  author={A.T.Suzuki and J.H.O.Sales and G.E.R.Zambrano},
  year={2004}
}

• A.T.Suzuki, J.H.O.Sales, G.E.R.Zambrano
• Published 10 May 2004
• Physics

We use the light front “machinery” to study the behavior of a relativistic free particle and obtain the quantum commutation relations from the classical Poisson brackets. We argue that their usual projection onto the light-front coordinates from the covariant commutation relations show that there is an inconsistency in the expected correlation between canonically conjugate variables “time” and “energy”. Moreover we show that this incompatibility originates from the very definition of the Poisson brackets that is employed and present a simple remedy to this problem and envisages a profound physical implication on the whole process of quantization.