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Casimir interaction among objects immersed in a fermionic environment.

A Bulgac1, A Wirzba

  • 1Department of Physics, University of Washington, Seattle, WA 98195-1560, USA.

Physical Review Letters
|October 3, 2001
PubMed
Summary
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Researchers studied the Casimir energy of multiple spheres in a fermionic background. They found that a simple semiclassical approximation works well for smooth objects and that interactions between pairs of objects can accurately predict total Casimir energy.

Area of Science:

  • Condensed matter physics
  • Quantum field theory

Background:

  • The Casimir effect is a physical phenomenon arising from quantum field theory.
  • Calculating Casimir energy for multiple interacting objects is complex.

Purpose of the Study:

  • To evaluate the Casimir energy and density of states for ensembles of spheres.
  • To assess the validity of semiclassical approximations for Casimir energy calculations.
  • To investigate the additivity of pairwise Casimir interactions.

Main Methods:

  • Utilizing ensembles of two, three, and four spheres immersed in a fermionic background.
  • Calculating the integrated density of states.
  • Evaluating the Casimir energy using semiclassical approximations.

Main Results:

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  • The integrated density of states and Casimir energy were computed for various sphere ensembles.
  • A simple semiclassical approximation, considering only the shortest periodic orbits, accurately predicts Casimir energy for smooth objects with characteristic lengths larger than the Fermi wavelength.
  • Casimir energy for multiple objects can be well-approximated by summing pairwise interactions.

Conclusions:

  • The semiclassical approximation is reliable for smooth objects in specific conditions.
  • Pairwise Casimir interactions offer a robust method for estimating the total Casimir energy of multiple objects.