scholarly journals Casimir energy for a spherical boundary within the surface impedance approach: Obtaining negative values

2012 ◽  
Vol 86 (10) ◽  
Author(s):  
Luigi Rosa
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.


2020 ◽  
Vol 79 (14) ◽  
pp. 1205-1215
Author(s):  
Yu. M. Penkin ◽  
V. A. Katrich ◽  
M. V. Nesterenko ◽  
S. L. Berdnik

2021 ◽  
Vol 175 ◽  
pp. 107851
Author(s):  
Liangfen Du ◽  
Siu-Kit Lau ◽  
Siew Eang Lee

Wave Motion ◽  
1987 ◽  
Vol 9 (1) ◽  
pp. 19-36 ◽  
Author(s):  
T.J. Bridges ◽  
G. Chen ◽  
G. Crosta

Sign in / Sign up

Export Citation Format

Share Document