## Advances in the Casimir EffectThe subject of this book is the Casimir effect, a manifestation of zero-point oscillations of the quantum vacuum resulting in forces acting between closely spaced bodies. For the benefit of the reader, the book assembles field-theoretical foundations of this phenomenon, applications of the general theory to real materials, and a comprehensive description of all recently performed measurements of the Casimir force with a comparison between experiment and theory. There is an urgent need for a book of this type, given the increase of interest in forces originating from the quantum vacuum. Numerous new results have been obtained in the last few years which are not reflected in previous books on the subject, but which are very promising for fundamental science and nanotechnology. The book is a unique source of information presenting a critical assessment of all the main results and approaches from hundreds of journal papers. It also outlines new ideas which have not yet been universally accepted but which are finding increasing support from experiment. |

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### Contents

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15 | |

THE CASIMIR FORCE BETWEEN REAL BODIES | 279 |

MEASUREMENTS OF THE CASIMIR FORCE AND THEIR APPLICATIONS IN BOTH FUNDAMENTAL PHYSICS AND NANOTECHNOLOGY | 511 |

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### Common terms and phrases

application approach asymptotic atom Bordag calculated Casimir effect Casimir energy Casimir force Casimir free energy Casimir pressure Casimir–Polder computational results confidence level configuration considered contribution corrugated cylinder dashed line dc conductivity deﬁned defined in eqn depend dielectric permittivity Dirichlet boundary conditions Drude model energy per unit equation error expansion experiment experimental ﬁeld finite given by eqn Green’s function heat kernel heat kernel coefficients ideal metal integration interaction Klimchitskaya lateral Casimir force Lifshitz formula Lifshitz theory mode-generating function Mostepanenko Neumann boundary conditions nonzero skin depth nonzero temperature optical data oscillator parameter Phys plasma model plasma-like potential PWS method reflection coefficients region renormalization respectively right-hand side scalar field Section semispaces separation distance side of eqn skin depth skin effect solid line sphere theoretical thermal correction unit area vacuum energy voltage Waals zero temperature zeta function zeta function regularization