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FIZIKA B 11 (2002) 4, 175-190
 
CASIMIR EFFECT IN FOUR SITUATIONS - INCLUDING A NONCOMMUTATIVE
TWO-SPHERE
MICHAL DEMETRIAN
Department of Theoretical Physics, Faculty of Mathematics, Physics and
Informatics, Mlynska Dolina F2, SK-842 48 Bratislava IV, Slovak Republic
E-mail address: [email protected]
Received 3 July 2002; Accepted 16 December 2002
Online 7 February 2003
A computation of the Casimir effect for a real scalar field in four situations: on a
segment of a line, on a circle and on both standard commutative and noncommutative
two-spheres is presented. The main aim of this paper is to discuss the Casimir energy on a
noncommutative sphere within the theory with commutative time. A discussion of the
(non)commutative cylinder is also given.
PACS numbers: 03.70.+k, 11.10.-z
UDC 537.86
Keywords: Casimir effect, real scalar field, segment of a line, circle, commutative
and noncommutative two-spheres, (non)commutative cylinder
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