Casimir Effect for Quantum Graphs
D. U. Matrasulov, J. R. Yusupov, P. K. Khabibullaev, A. A. Saidov
TL;DR
This paper investigates the Casimir effect in quantum graphs, a type of one-dimensional fractal network, by deriving explicit zero-point energy expressions for simple topologies using Green function methods.
Contribution
It provides a novel analysis of Casimir effects in quantum graphs, extending understanding of quantum phenomena in fractal network structures.
Findings
Explicit zero-point energy formulas for simple quantum graph topologies
Application of Green function approach to quantum graph Casimir effect
Insights into quantum fluctuations in fractal network structures
Abstract
The Casimir effects for one-dimensional fractal networks, so-called quantum graphs is studied. Based on the Green function approach for quantum graphs zero-point energy for some simplest topologies is written explicitly.
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Taxonomy
TopicsQuantum Electrodynamics and Casimir Effect · Quantum Mechanics and Applications · Advanced Mathematical Theories and Applications