Derivation of Hamiltonian in interaction picture by unitary transformation

https://drive.google.com/file/d/0BwhwtIdXtD2kbHp6VGRYbDlLTk0/view?usp=sharing

NYTimes: One Star Over, a Planet That Might Be Another Earth

http://www.nytimes.com/2016/08/25/science/earth-planet-proxima-centauri.html?emc=edit_ta_20160824&nlid=52035243&ref=headline&_r=0