Skip to main content
SpringerLink
Log in
Book cover

Cosmology, Quantum Vacuum and Zeta Functions pp 45–56Cite as

The Low Temperature Corrections to the Casimir Force Between a Sphere and a Plane

  • Conference paper
  • First Online:

  • 893 Accesses

Part of the book series: Springer Proceedings in Physics ((SPPHY,volume 137))

Abstract

We calculate the low temperature corrections to the free energy for a sphere in front of a plane. First, the scalar field obeying Dirichet or Neumann boundary conditions is considered. Second, the electromagnetic field is studied, the sphere being perfectly conducting and being a dielectric ball with both, constant permittivity and permittivity of the plasma model.

This is a preview of subscription content, log in via an institution.

Chapter
USD   29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD   129.00
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD   169.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book
USD   169.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Learn about institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. M. Bordag and I. Pirozhenko. Vacuum energy between a sphere and a plane at finite temperature. Phys.Rev.D, 81:085023, 2009.

    Google Scholar 

  2. Antoine Canaguier-Durand, Paulo A. Maia Neto, Astrid Lambrecht, and Serge Reynaud. Thermal Casimir Effect in the Plane-Sphere Geometry. Physical Review Letters, 104:040403, 2010.

    Google Scholar 

  3. Antoine Canaguier-Durand, Paulo A. Maia Neto, Astrid Lambrecht, and Serge Reynaud. Thermal casimir effect for drude metals in the plane-sphere geometry. arXiv:1005.4294v1 [quant-ph], May 2010.

    Google Scholar 

  4. Holger Gies and Alexej Weber. Geometry-Temperature Interplay in the Casimir Effect. Int. J. Mod. Phys., A25:2279–2292, 2010.

    Google Scholar 

  5. G. L. Klimchitskaya, U. Mohideen, and V. M. Mostepanenko. The Casimir force between real materials: Experiment and theory. Rev.Mod.Phys, 81:1827–1885, 2009.

    Google Scholar 

  6. Alexej Weber and Holger Gies. Geothermal Casimir phenomena for the sphereplate and cylinder-plate configurations. arXiv 1003.3420, 2010.

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Institute for Theoretical Physics, Leipzig University, 04109, eipzig, Germany

    Michael Bordag

  2. Bogoliubov Laboratory of Theoretical Physics, Joint Institute for Nuclear Research and Dubna International University, Dubna, 141 980, Russia

    Irina G. Pirozhenko

Authors
  1. Michael Bordag
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Irina G. Pirozhenko
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to Michael Bordag .

Editor information

Editors and Affiliations

  1. , Facultat de Ciències, Institut de Ciències de l’Espai (IEEC-CS, Barcelona, 08193, Spain

    Sergey D. Odintsov

  2. , Facultat de Ciències, Institut de Ciències de l'Espai ICE-CSIC, Barcelona, 08193, Spain

    Diego Sáez-Gómez

  3. Universitat Politècnica de Catalunya, Jordi Girona 1-3, Barcelona, 08034, Spain

    Sebastian Xambó-Descamps

Rights and permissions

Reprints and permissions

Copyright information

© 2011 Springer-Verlag Berlin Heidelberg

About this paper

Cite this paper

Bordag, M., Pirozhenko, I.G. (2011). The Low Temperature Corrections to the Casimir Force Between a Sphere and a Plane. In: Odintsov, S., Sáez-Gómez, D., Xambó-Descamps, S. (eds) Cosmology, Quantum Vacuum and Zeta Functions. Springer Proceedings in Physics, vol 137. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-19760-4_4

Download citation

  • DOI: https://doi.org/10.1007/978-3-642-19760-4_4

  • Published:

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-19759-8

  • Online ISBN: 978-3-642-19760-4

  • eBook Packages: Physics and AstronomyPhysics and Astronomy (R0)

Publish with us

Policies and ethics

Search

Navigation