Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2004-05-10
Physics
High Energy Physics
High Energy Physics - Theory
13 pages
Scientific paper
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.
Sales J. H. O.
Suzuki Alfredo T.
Zambrano G. E. R.
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