Abstract

The Casimir effect is discussed via an HMO treatment. At this schematic theoretical level, the Casimir effect might be considered as the result of the general quantum mechanical interaction behavior of two sets of particles.

Highlights

  • In the present author’s first paper [1] a model to naively study chemisorption was proposed, which, with the appropriate modifications, happens that can be applied to study, in a naïve way too, the Casimir effect [2].Casimir effect is still nowadays explained via a more physical way using the nature of vacuum fluctuations, see for example reference [3], or via van der Waals forces [4]

  • The matrix Z is some kind of symmetric pseudotridiagonal matrix, where the subdiagonals are at the positions of the upper triangle: 1 3

  • The Casimir interaction pseudotridiagonal matrix Z can be transformed into a diagonal m atrix b y the orthogonal transformation matrix:

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Summary

Introduction

In the present author’s first paper [1] a model to naively study chemisorption was proposed, which, with the appropriate modifications, happens that can be applied to study, in a naïve way too, the Casimir effect [2]. Casimir effect is still nowadays explained via a more physical way using the nature of vacuum fluctuations, see for example reference [3], or via van der Waals forces [4]. There is a large amount of literature on the subject, see for a very small set of references [5,6,7], for general reviews on the subject nature and applications [8, 9], and a contemporary comprehensive discussion [10] shall be recom‐ mended. One can suppose that the pair of non-interacting atomic sets correspond to an essentially doubly degenerate spectrum

Casimir interaction
Transformation of the casimir interaction matrix
Eigensystem spectrum of the casimir interaction
Possible fluctuation of the casimir interaction energy
Conclusion
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