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Higher-derivative harmonic oscillators: stability of classical dynamics and adiabatic invariants
06 janvier 2019,
- CERISIC
,
- Article scientifique
Article scientifique
he status of classical stability in higher-deriv- ative systems is still subject to discussions. In this note, we argue that, contrary to general belief, many higher-derivative systems are classically stable. The main tool to see this prop- erty are Nekhoroshev’s estimates relying on the action-angle formulation of classical mechanics. The latter formulation can be reached provided the Hamiltonian ...
Anyons in quantum mechanics with a minimal length
15 février 2017,
- HE Louvain en Hainaut
,
- Article scientifique
Article scientifique
The existence of anyons, i.e. quantum states with an arbitrary spin, is a generic feature of standard quantum mechanics in (2+1)-dimensional Minkowski spacetime. Here it is shown that relativistic anyons may exist also in quantum theories where a minimal length is present. The interplay between minimal length and arbitrary spin effects are discussed.