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The zeta function approach applied to Casimir effects in a stack of conductive planes

In: Physical and Mathematical Aspects of Symmetries

Author

Listed:
  • Nail Khusnutdinov

    (Universidade Federal do ABC, Centro de Matemática, Computação e Cognição
    Kazan Federal University, Institute of Physics)

  • Rashid Kashapov

    (Kazan Federal University, Institute of Physics)

  • Lilia M. Woods

    (University of South Florida, Department of Physics)

Abstract

We consider the zeta-regularization approach for vacuum energy and calculate Casimir and Casimir-Polder effects in systems with stacked equally spaced conductive planes. In the framework of the zeta approach, we obtained explicit forms of the Casimir energy of the stack and the Van der Waals/Casimir-Polder energy of a microparticle interacting with this stack at zero as well as non-zero temperatures.

Suggested Citation

  • Nail Khusnutdinov & Rashid Kashapov & Lilia M. Woods, 2017. "The zeta function approach applied to Casimir effects in a stack of conductive planes," Springer Books, in: Sergio Duarte & Jean-Pierre Gazeau & Sofiane Faci & Tobias Micklitz & Ricardo Scherer & Francesco To (ed.), Physical and Mathematical Aspects of Symmetries, pages 203-208, Springer.
    • Handle: RePEc:spr:sprchp:978-3-319-69164-0_30
    DOI: 10.1007/978-3-319-69164-0_30
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