Article citationsMore >>

D.A.R. Dalvit, P.A.M. Neto, and F.D. Mazzitelli, in Casimir Physics, edited by D.A.R. Dalvit, P. Milonni, D. Roberts, and F. da Rosa, Lecture Notes in Physics Vol. 834 (Springer, New York, 2011.

has been cited by the following article:

Article

An Alternative Approach for Quantum Forces in Toroidal Topology

1Centro Brasileiro de Pesquisas Fisicas - CBPF/MCTI, Brazil


International Journal of Physics. 2021, Vol. 9 No. 5, 251-258
DOI: 10.12691/ijp-9-5-5
Copyright © 2021 Science and Education Publishing

Cite this paper:
A.P.C. Malbouisson. An Alternative Approach for Quantum Forces in Toroidal Topology. International Journal of Physics. 2021; 9(5):251-258. doi: 10.12691/ijp-9-5-5.

Correspondence to: A.P.C.  Malbouisson, Centro Brasileiro de Pesquisas Fisicas - CBPF/MCTI, Brazil. Email: adolfo@cbpf.br

Abstract

We investigate the Casimir effect in the context of a nontrivial topology by means of a generalized Matsubara formalism. This is performed in the context of a scalar field in D Euclidean spatial dimensions with d compactified dimensions. The procedure gives us the advantage of considering simultaneously spatial constraints and thermal effects. In this sense, the Casimir pressure in a heated system between two infinite planes is obtained and the results are compared with those found in the literature.

Keywords