The Casimir effect from a condensed matter perspective

@article{Plov2009TheCE,
  title={The Casimir effect from a condensed matter perspective},
  author={Lucia P{\'a}lov{\'a} and Premala Chandra and Piers Coleman},
  journal={American Journal of Physics},
  year={2009},
  volume={77},
  pages={1055-1060}
}
The Casimir effect, a key observable realization of vacuum fluctuations, is usually taught in graduate courses on quantum field theory. The growing importance of Casimir forces in microelectromechanical systems motivates this subject as a topic for graduate many-body physics courses. To this end, we revisit the Casimir effect using methods common in condensed matter physics. We recover previously derived results and explore the implications of the analogies implicit in this treatment. 
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References

SHOWING 1-10 OF 34 REFERENCES

Essentials of the Casimir effect and its computation

A historical introduction to the issues raised by the Casimir effect is provided, putting special emphasis on the experiments which attempt to test this and related phenomena. The classical and…

The Casimir effect: From quantum to critical fluctuations

The Casimir effect in quantum electrodynamics (QED) is perhaps the best-known example of fluctuation-induced long-ranged force acting on objects (conducting plates) immersed in a fluctuating medium…

Casimir forces: Still surprising after 60 years

The once startling idea of a connection between quantum fluctuations and forces has by now been applied throughout physics. Nonetheless, experimentalists and theorists alike still find challenges in…

The Mathematics of the Casimir Effect

Introduction In 1948 H. G. B. Casimir, a mathematical physicist, made a rather startling prediction. He calculated from the theory of quantum electrodynamics that if two massless,…

Quantum criticality

It is 100 years on, the same experimental measurement that puzzled Einstein and his contemporaries is forcing us to question the authors' understanding of how quantum matter transforms at ultra-low temperatures.

Quantum scaling in many-body systems

Resource letter CF-1: Casimir force

This resource letter provides an introductory guide to the literature on the Casimir force. Journal articles and books are cited for the following topics: introductory articles and books,…

Continuous quantum phase transitions

A quantum system can undergo a continuous phase transition at the absolute zero of temperature as some parameter entering its Hamiltonian is varied. These transitions are particularly interesting…

Quantum field theory

This book is a modern pedagogic introduction to the ideas and techniques of quantum field theory. After a brief overview of particle physics and a survey of relativistic wave equations and Lagrangian…

The Casimir effect revisited

Using Wick’s normal‐ordered expression for the quantum‐mechanical energy of a radiation field, so that in absence of matter the zeropoint energy of a radiation field would vanish, the Casimir effect…