## The Casimir Effect: Physical Manifestations of Zero-point EnergyIn its simplest manifestation, the Casimir effect is a quantum force of attraction between two parallel uncharged conducting plates. More generally, it refers to the interaction OCo which may be either attractive or repulsive OCo between material bodies due to quantum fluctuations in whatever fields are relevant. It is a local version of the van der Waals force between molecules. Its sweep ranges from perhaps its being the origin of the cosmological constant to its being responsible for the confinement of quarks. This monograph develops the theory of such forces, based primarily on physically transparent Green''s function techniques, and makes applications from quarks to the cosmos, as well as observable consequences in condensed matter systems. It is aimed at graduate students and researchers in theoretical physics, quantum field theory, and applied mathematics. Contents: Introduction to the Casimir Effect; Casimir Force Between Parallel Plates; Casimir Force Between Parallel Dielectrics; Casimir Effect with Perfect Spherical; The Casimir Effect of a Dielectric Ball: The Equivalence of the Casimir Effect and van der Waals Forces; Application to Hadronic Physics: Zero-Point Energy in the Bag Model; Casimir Effect in Cylindrical Geometries; Casimir Effect in Two Dimensions: The Maxwell-Chern-Simons Casimir Effect; Casimir Effect on a D -dimensional Sphere; Cosmological Implications of the Casimir Effect; Local Effects; Sonoluminescene and the Dynamical Casimir Effect; Radiative Corrections to the Casimir Effect; Conclusions and Outlook; Appendices: Relation of Contour Integral Method to Green''s Function Approach; Casimir Effect for a Closed String. Readership: High-energy, condensed-matter and nuclear physicists." |

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### Contents

Casimir Force Between Parallel Plates | 19 |

Casimir Force Between Parallel Dielectrics | 49 |

Casimir Effect with Perfect Spherical | 65 |

ZeroPoint | 105 |

Casimir Effect in Cylindrical Geometries | 125 |

Casimir Effect on a Ddimensional Sphere | 183 |

Cosmological Implications of the Casimir | 201 |

### Other editions - View all

The Casimir Effect: Physical Manifestations of Zero-point Energy K. A. Milton No preview available - 2001 |

### Common terms and phrases

asymptotic expansion axis Bessel functions Brevik bubble calculation cancels Casimir effect Casimir energy Casimir force Casimir stress Chapter coefficient component compute conducting plates considered contact term contour contribution corresponding cosmological constant cutoff cylinder derivative dielectric ball dimensional dimensions Dirichlet boundary conditions discussed divergent terms electromagnetic energy density energy per unit equation evaluate expression exterior modes fermionic finite result force per unit formula Fourier transform frequency geometry given in Sec gluon condensate Green's dyadic Green's function hadronic integral integrand interior Lagrangian leading term Lifshitz limit logarithm massless scalar medium molecules momentum numerical obtain parallel plates parameter perfectly conducting photon physical polar coordinates poles quarks radius reduced Green's function renormalization satisfy scalar field Schwinger sonoluminescence sphere spherical shell stress tensor string subtract surface temperature dependence theory tion TM modes transverse unit area vacuum energy vacuum expectation value vanishes vector Waals zero-point energy zeta function zeta-function

### Popular passages

Page vii - Schwinger justified this publication, apart from it giving the Casimir effect a source theory context free from an operator substructure, by quoting from CR Hargreaves," who stated that 'it may yet be desirable that the whole general theory be reexamined and perhaps set up anew.' The context of the latter remark was a discrepancy between the temperature dependence found between conducting plates, and that found from the temperature-dependent Lifshitz formula9 when the dielectric constant in the region...

Page 288 - BP Barber, R. Killer, K. Arisaka, H. Fetterman, and SJ Putterman, J. Acoust. Soc. Am. 91, 3061-3063 (1992).