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(Super)symmetries of semi-classical models in theoretical and condensed matter physics

Abstract : Van Holten's covariant algorithm for deriving conserved quantities is presented, with particular attention paid to Runge-Lenz-type vectors. The classical dynamics of isospin-carrying particles is reviewed. Physical applications including non-Abelian monopole-type systems in diatoms, introduced by Moody, Shapere and Wilczek, are considered. Applied to curved space, the formalism of van Holten allows us to describe the dynamical symmetries of generalized Kaluza-Klein monopoles. The framework is extended to supersymmetry and applied to the SUSY of the monopoles. Yet another application concerns the three-dimensional non-commutative oscillator.
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Contributor : Juste Jean-Paul Ngome Abiaga <>
Submitted on : Monday, September 12, 2011 - 11:14:15 PM
Last modification on : Thursday, March 5, 2020 - 5:32:59 PM
Document(s) archivé(s) le : Tuesday, November 13, 2012 - 10:35:40 AM


  • HAL Id : tel-00622874, version 1



Juste Jean-Paul Ngome Abiaga. (Super)symmetries of semi-classical models in theoretical and condensed matter physics. Mathematical Physics [math-ph]. Université de Tours, 2011. English. ⟨tel-00622874⟩



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