Casimir interaction with an 1/r-dependence
Bo E. Sernelius
TL;DR
This paper proposes a theoretical model where a Casimir-like interaction potential varies as 1/r, achieved through hypothetical particles with harmonic oscillator interactions, paralleling electromagnetic Casimir-Polder derivations.
Contribution
It introduces a novel theoretical framework for a 1/r Casimir interaction using hypothetical particles, expanding understanding of possible force behaviors.
Findings
Theoretical demonstration of 1/r Casimir potential
Use of hypothetical particles with harmonic oscillator interactions
Parallel to electromagnetic Casimir-Polder derivation
Abstract
We show that in theory it is possible to obtain a Casimir interaction potential that varies with distance as 1/r. We achieve this by invoking hypothetical particles having a harmonic oscillator interaction potential. The derivation parallels the derivation of the Casimir-Polder interaction between atoms in electromagnetism.
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Taxonomy
TopicsQuantum Electrodynamics and Casimir Effect · Quantum Mechanics and Applications · Phase Equilibria and Thermodynamics