Casimir energy of $N$ $δ$-plates with constant conductivity

• URL: http://arxiv.org/abs/2406.09096v1
• Date: Thu, 13 Jun 2024 13:26:14 GMT
• Title: Casimir energy of $N$ $δ$-plates with constant conductivity
• Authors: Venkat Abhignan,
• Abstract summary: The Casimir energy for $N$ $delta$-function plates depends on multiple scattering parameter $Delta$. This $N$ body interaction was distributed into two body interactions with nearest neighbour scattering and next-to-nearest neighbour scattering based on partitions of $N-1$ and its permutations. We also study Casimir interaction between a perfect magnetic conductor and multiple constant conductivity $delta$ plates, which results in Boyer repulsion.
• Score: 0.0
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: The Casimir energy for $N$ $\delta$-function plates depends on multiple scattering parameter $\Delta$. This $N$ body interaction was distributed into two body interactions with nearest neighbour scattering and next-to-nearest neighbour scattering based on partitions of $N-1$ and its permutations. Implementing this methodology, we investigate Casimir energy for multiple plates with constant conductivity relatable to Graphene. We also study Casimir interaction between a perfect magnetic conductor and multiple constant conductivity $\delta$ plates, which results in Boyer repulsion. In the asymptotic limit for ideal boundary conditions, the results become simple where multiple scattering parameter $\Delta$ consists only of nearest neighbour scattering term.

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