2007/05/17 by Molin Liu, Hongya Liu, Feng Luo +2
Mathematics · Physics and Astronomy · #Advanced Mathematical Physics Problems #Black Holes and Theoretical Physics #Quantum Electrodynamics and Casimir Effect #astro-ph #gr-qc #hep-ph
paper · pdf · doi:10.1007/s10714-007-0442-2
published as Gen.Rel.Grav.39:1389-1402,2007 · 10 pages, 6 figures. To appear in Gen. Rel. Grav
arxiv created 2007/05/17 · openalex publication_date 2007/05/21 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28
After the nontrivial quantum parameters Ωn and quantum potentials Vn obtained in our previous research, the circumstance of a real scalar wave in the bulk is studied with the similar method of Brevik (2001). The equation of a massless scalar field is solved numerically under the boundary conditions near the inner horizon re and the outer horizon rc. Unlike the usual wave function Ψωl in 4D, quantum number n introduces a new functions Ψωl n, whose potentials are higher and wider with bigger n. Using the tangent approximation, a full boundary value problem about the Schrodinger-like equation is solved. With a convenient replacement of the 5D continuous potential by square barrier, the reflection and transmission coefficients are obtained. If extra dimension does exist and is visible at the neighborhood of black holes, the unique wave function Ψωl n may say something to it.