Casimir energy in a curved background with a spherical boundary: An exactly solvable case

1993 ◽  
Vol 48 (6) ◽  
pp. 2806-2812 ◽  
Author(s):  
Selçuk Ş. Bayin ◽  
M. Özcan
2014 ◽  
Vol 112 (5) ◽  
Author(s):  
Thomas Gueudré ◽  
Alexander Dobrinevski ◽  
Jean-Philippe Bouchaud

2021 ◽  
Vol 104 (7) ◽  
Author(s):  
A. I. Breev ◽  
S. P. Gavrilov ◽  
D. M. Gitman ◽  
A. A. Shishmarev

2012 ◽  
Vol 27 (16) ◽  
pp. 1250082 ◽  
Author(s):  
MUSTAFA ÖZCAN

The Casimir effect giving rise to an attractive force between the closely spaced two concentric spheres that confine the massless scalar field is calculated by using a direct mode summation with contour integration in the complex plane of eigenfrequencies. We developed a new approach appropriate for the calculation of the Casimir energy for spherical boundary conditions. The Casimir energy for a massless scalar field between the closely spaced two concentric spheres coincides with the Casimir energy of the parallel plates for a massless scalar field in the limit when the dimensionless parameter η, ([Formula: see text] where a(b) is inner (outer) radius of sphere), goes to zero. The efficiency of new approach is demonstrated by calculation of the Casimir energy for a massless scalar field between the closely spaced two concentric half spheres.


2013 ◽  
Vol 88 (2) ◽  
Author(s):  
Wojciech Florkowski ◽  
Radoslaw Ryblewski ◽  
Michael Strickland

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