Casimir–Polder-Like Force for an Atom in Hartle–Hawking Vacuum outside a Schwarzschild Black Hole
ZHANG Jia-Lin1**, YU Hong-Wei2,1**
1Institute of Physics and Key Laboratory of Low Dimensional Quantum Structures and Quantum Control of Ministry of Education, Hunan Normal University, Changsha 410081 2Center for Nonlinear Science and Department of Physics, Ningbo University, Ningbo 315211
Abstract:We calculate the energy level shift of a static ground state two-level atom interacting with fluctuating massless scalar fields in the Hartle–Hawking vacuum outside a Schwarzschild black hole. It is found that the energy level shift is position-dependent and gives rise to a force on the atom besides the classical gravitational force. This force behaves like r?1(r?2M)?1 for r approaching 2M, whereas it behaves like r?2 for large r.
. [J]. 中国物理快报, 2012, 29(8): 80403-080403.
ZHANG Jia-Lin, and YU Hong-Wei. Casimir–Polder-Like Force for an Atom in Hartle–Hawking Vacuum outside a Schwarzschild Black Hole. Chin. Phys. Lett., 2012, 29(8): 80403-080403.