Quantum-mechanical Liouville model with attractive potential

Quantum mechanical Liouville model with attractive potential

We study the quantum mechanical Liouville model with attractive potential which is obtained by Hamiltonian symmetry reduction from the system of a free particle on SL(2,RI ). The classical reduced system consists of a pair of Liouville subsystems which are ‘glued together’ in such a way that the singularity of the Hamiltonian flow is regularized. It is shown that the quantum theory of this redu...

Mechanical properties of a model of attractive colloidal solutions.

We review the nature of glass transitions and the glasses arising from a square-well potential with a narrow and deep well. Our discussion is based on the mode coupling theory (MCT), and the predictions of glasses that we make refer to the "ideal" glasses predicted by this theory. We believe that the square-well system well represents colloidal particles with attractive interactions produced by...

Quantum Liouville Theory with Heavy Charges

We develop a general technique for solving the Riemann-Hilbert problem in presence of a number of ”heavy charges” and a small one thus providing the exact Green functions of Liouville theory for various non trivial backgrounds. The non invariant regularization suggested by Zamolodchikov and Zamolodchikov gives the correct quantum dimensions; this is shown to one loop in the sphere topology and ...

Dilaton spacetimes with a Liouville potential

We find and study solutions to the Einstein equations in D dimensions coupled to a scalar field source with a Liouville potential under the assumption of D−2 planar symmetry. The general static or time-dependent solutions are found yielding three classes of SO(D − 2) symmetric spacetimes. In D = 4 homogeneous and isotropic subsets of these solutions yield planar scalar field cosmologies. In D =...

A quantum-mechanical relaxation model