An analytical proof of Hardy-like inequalities related to the Dirac operator

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We prove some sharp Hardy type inequalities related to the Dirac operator by elementary, direct methods. Some of these inequalities have been obtained previously using spectral information about the Dirac-Coulomb operator. Our results are stated under optimal conditions on the asymptotics of the potentials near zero and near infinity.
LaTex, 22 pages

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Mathematical Physics, 35Q40, 35Q75, 46N50, 81Q10

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http://salesiana.dossiersoluciones.com/handle/123456789/57517

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math-ph/0309065
 http://arxiv.org/abs/math-ph/0309065

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arXiv