Discrete and Continuous Models and Applied Computational ScienceDiscrete and Continuous Models and Applied Computational Science2658-46702658-7149Peoples' Friendship University of Russia named after Patrice Lumumba (RUDN University)8836Conference Report, Theses of ReportHawking Radiation in de Sitter Space: Calculation of the Reflection Coefficient for Quantum ParticlesRed’kovV MNAS of Belarusv.redkov@dragon.bas-net.byOvsiyukE Me.ovsiyuk@mail.ruKrylovG Gkrylov@bsu.byInstitute of PhysicsMozyr State Pedagogical UniversityBelarussian State University15042012415316908092016Copyright © 2012,2012Though the problem of Hawking radiation in de Sitter space-time, in particular details of penetration of a quantum mechanical particle through the de Sitter horizon, has been examined intensively there is still some vagueness in this subject. The present paper aims to clarify the situation. A known algorithm for calculation of the reﬂection coeﬃcient R j on the background of the de Sitter space-time model is analyzed. It is shown that the determination of R j requires an additional constrain on quantum numbers R ∕ℏ c ≫ j, where R is a curvature radius. When taking into account this condition, the value of R j turns out to be precisely zero. It is shown that the basic instructive deﬁnition for the calculation of the reﬂection coeﬃcient in de Sitter model is grounded exclusively on the use of zero order approximation in the expansion of a particle wave function in a series on small parameter 1 ∕ R 2, and it demonstrated that this recipe cannot be extended on accounting for contributions of higher order terms. So the result R j = 0 which has been obtained from examining zero-order term persists and cannot be improved. It is claimed that the calculation of the reﬂection coeﬃcient R j is not required at all because there is no barrier in theHawking radiationde Sitter space-timereflection coefficientизлучение Хокингапространство де Ситтеракоэффициент отражения