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Honors Thesis defense: The Multidimensional Cut-Off Technique in Calculating the Casimir Force
April 29 @ 2:00 pm
Supervised by Dr. Adery, Department of Physics
In 1948, Dutch physicist Hendrik Casimir predicted what became known as the Casimir effect. A typical example of the Casimir effect consists of the attractive force between two parallel neutral conductive plates. In order to calculate such forces, infinite sums must be considered. One approach to these sums is regularization by an exponential cut-off term. This cut-off technique is based on repeated application of the Euler-Maclaurin integration formula, which converts sums to integrals. This approach is favourable since it is a multidimensional technique and it gives a certain physical understanding of the situation. In this thesis presentation, I will briefly present some one- and two-dimensional cases of the exponential cut-off technique, and then derive a three-dimensional case, which uses several identities for Bessel functions.