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The Formulations of Classical Mechanics with Foucault’s Pendulum
01 octobre 2020,
- CERDECAM
,
- Article scientifique
Article scientifique
Since the pioneering works of Newton (1643–1727), Mechanics has been constantly reinventing itself: reformulated in particular by Lagrange (1736–1813) then Hamilton (1805–1865), it now offers powerful conceptual and mathematical tools for the exploration of dynamical systems, essentially via the action-angle variables formulation and more generally through the theory of canonical transformations. ...
Meson spectrum in SU(N) gauge theories with quarks in higher representations: A check of Casimir scaling hypothesis
01 juin 2020,
- CeREF Technique
,
- Article scientifique
Article scientifique
Gauge theories with gauge group and quarks belonging to arbitrary representations of SU(N)
form a rich landscape of QCD-like theories, whose study can shed new light on the properties of confinement. Four cases are particularly worth of interest: quarks in the fundamental representation, quarks in the 2-indice (anti)symmetric representation and quarks in the adjoint representation. The last three ...
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.
DYSKIMOT: An Ultra-Low-Cost Inertial Sensor to Assess Head’s Rotational Kinematics in Adults during the Didren-Laser Test
04 février 2020,
- CERISIC
,
- Article scientifique
Article scientifique
Various noninvasive measurement devices can be used to assess cervical motion. The size, complexity, and cost of gold-standard systems make them not suited to clinical practice, and actually difficult to use outside a dedicated laboratory. Nowadays, ultra-low-cost inertial measurement units are available, but without any packaging or a user-friendly interface. The so-called DYSKIMOT is a home-designed, ...