Publication: Quantizing a relativistic free-particle on the light front: some subtle aspects
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Undergraduate course
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Natl Research Council Canada-n R C Research Press
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Article
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Abstract
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 x(+) and energy p(-). This incompatibility between canonical conjugate variables in the light front is discussed in the context of Poisson brackets and a suggestion is made on how to avoid it.
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English
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Canadian Journal of Physics. Ottawa: Natl Research Council Canada-n R C Research Press, v. 84, n. 9, p. 813-821, 2006.
