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We argue that certain apparently consistent low-energy erective field theories described by local, Lorentz-invariant Lagrangians, secretly exhibit macroscopic non-locality and cannot be embedded in any UV theory whose S-matrix satisfies canonical analytici ...
The present thesis is devoted to a detailed study of the Casimir force exerting between two parallel metallic plates whose conducting behaviour is described on the microscopic level. In the semi-classical regime, which corresponds to large separations and ...
We study the statistical properties of the potential energy landscape of a system of particles interacting via a very short-range square-well potential (of depth - u0) as a function of the range of attraction Δ to provide thermodynamic insights of the Noro ...
Due to the Heisenberg uncertainty principle, various classical systems differing only on the scale smaller than Planck's cell correspond to the same quantum system. We use this fact to find a unique semiclassical representation without the Van Vleck determ ...
The partition function of the Hubbard model with local attraction and long-range Coulomb repulsion between electrons is written as a functional integral with an action A involving a pairing field Δ and a local potential V. After integration over V and over ...
Abstract The problem of controlling nonlinear nonminimum-phase systems is considered, where standard input-output feedback linearization leads to unstable internal dynamics. This problem is handled here by using the observability normal form in conjunction ...
The relation between the Eulerian and the Lagrangian correlation functions is studied in two spatial dimensions. Simple analytical expressions for the full space-time varying Eulerian correlation are derived solely on the basis of the one-dimensional waven ...