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On the Zero-Point Energy of a Conducting Spherical Shell by Esposito, Giampiero; Kamenshchik, Alexander Yu.; Kirsten, Klaus is a scholarly article available to read on EtoBox.

What is On the Zero-Point Energy of a Conducting Spherical Shell about?

The zero-point energy of a conducting spherical shell is evaluated by imposing boundary conditions on the potential, and on the ghost fields. The scheme requires that temporal and tangential components of perturbations of the potential should vanish at the boundary, jointly with the gauge-averaging functional, first chosen of the Lorenz type. Gauge invariance of such boundary conditions is then obtained provided that the ghost fields vanish at the boundary. Normal and longitudinal modes of the potential obey an entangled system of eigenvalue equations, whose solution is a linear combination of Bessel functions under the above assumptions, and with the help of the Feynman choice for a dimensionless gauge parameter. Interestingly, ghost modes cancel exactly the contribution to the Casimir energy resulting from transverse and temporal modes of the potential, jointly with the decoupled normal mode of the potential. Moreover, normal and longitudinal components of the potential for the interior and the exterior problem give a result in complete agreement with the one first found by Boyer, who studied instead boundary conditions involving TE and TM modes of the electromagnetic field. The

Author

Esposito, Giampiero; Kamenshchik, Alexander Yu.; Kirsten, Klaus

Published

1997

Language

EN