(Super)symmetries of semiclassical models in theoretical and condensed matter physics

Details (Super)symmetries of semiclassical models in theoretical and condensed matter physics (Super)symmetries of semiclassical models in theoretical and condensed matter physics

2011-03-24

arxiv.org/abs/1103.4876v3

Physics

High Energy Physics

High Energy Physics - Theory

PhD thesis, defended on may 2011, Tours University, Supervisor : Peter Horvathy

Scientific paper

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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