Scattering formalism to Casimir forces in Condensed matter Physics
Dr Ehsan Noruzifar (UC Riverside)

Confining long-range fluctuations results in fluctuation-induced interactions, known as Casimir effect. This type of interaction strongly depends on geometry and material properties of the objects which confine the fluctuations. We study the Casimir interaction between various geometries in Soft and Hard Condensed Matter systems. To calculate the Casimir energy we employ the scattering formalism. In this technique the shape and material properties of the objects are encoded in their scattering matrices. The energy is calculated by combining the scattering matrices with the universal translation matrices, which convert between the bases used to compute scattering for each object, but otherwise are independent of the physical and chemical properties of the object. We show that in the scattering formalism one can easily implement various geometries and material properties and more importantly calculate the energy for all separation regimes.