Open AccessCasimir effect of the Maxwell-Chern-Simons field for two non-parallel lines boundary
Author(s) -
Zhan-Wu Bai
Publication year - 2004
Publication title -
wuli xuebao
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.199
H-Index - 47
ISSN - 1000-3290
DOI - 10.7498/aps.53.2472
Subject(s) - casimir effect , path integral formulation , physics , conformal map , chern–simons theory , mathematical physics , formalism (music) , boundary value problem , quantization (signal processing) , cutoff , hamiltonian (control theory) , maxwell's equations , electromagnetic field , classical mechanics , mathematical analysis , quantum mechanics , mathematics , gauge theory , art , musical , visual arts , mathematical optimization , algorithm , quantum
Based on the Faddeev formalism of path-integral quantization for a constrained Hamiltonian system, the Casimir effect between two non-parallel lines in the (2+1)-dimensional space is calculated by using conformal mapping and Plana summation formula in the theory of complex variable function. Without introducing any cutoff of parameter, the finite analytical expression is obtained.