This thesis is devoted to the study of ground state and collective properties of a class of mesoscopic systems - quantum confined systems. In quantum confined systems the particles (bosons and fermions) are artificially ...
Duality transformation typically maps the strongly coupled region of one theory to the weakly coupled one of another, making it possible for one to investigate the strongly coupled region of a theory by a perturbative ...
This thesis is a study of the interplay between inertia, dissipation and driving on the dynamics of many-body systems in d-dimensions. The simplest example of a many-body spin system possessing inertial dynamics is the ...
Some problems in the homogenization of partial differential equations are considered for this study. The process of obtaining the macroscopic or effective properties of materials having heterogeneities on a scale much ...