APPLIED AND COMPUTATIONAL MATHEMATICS, cilt.13, sa.2, ss.147-174, 2014 (SCI-Expanded)
Casimir force is one of such macroscopic phenomenon originating from the macroscopic world governed by quantum mechanics. The simplest geometry to test and calculate the force is the two-parallel-plate system. The current status of the Casimir force in higher warped dimensional models are reviewed. The techniques and methods used in such calculations have been mentioned. The calculation of the Casimir force between two conducting neutral parallel plates are presented and given in all details for q + 1 dimensional Randall-Sundrum models.