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Mechanical Systems with Poincare Invariance

H. W. Braden·J. G. B. Byatt-Smith
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Abstract

Some years ago Ruijsenaars and Schneider initiated the study of mechanical systems exhibiting an action of the Poincare algebra. The systems they discovered were far richer: their models were actually integrable and possessed a natural quantum version. We follow this early work finding and classifying mechanical systems with such an action. New solutions are found together with a new class of models exhibiting an action of the Galilean algebra. These are related to the functional identities underlying the various Hirzebruch genera. The quantum mechanics is also discussed.

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H. W. Braden, J. G. B. Byatt-Smith. 2001-10-09. Mechanical Systems with Poincare Invariance. https://doi.org/10.1016/s0375-9601(02)00160-3

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