Date of Award
Doctor of Philosophy (PhD)
Chris H. Greene
Ana Maria Rey
Hyperspherical coordinates provide a systematic way of describing three-body systems. Solving three-body Schrödinger equations in an adiabatic hyperspherical representation is the focus of this thesis. An essentially exact solution can be found numerically by including nonadiabatic couplings using either a slow variable discretization or a traditional adiabatic method. Two different types of three-body systems are investigated: (1) rovibrational states of the triatomic hydrogen ion H+3 and (2) ultracold collisions of three identical bosons.
Wang, Jia, "Hyperspherical Approach to Quantal Three-body Theory" (2012). Physics Graduate Theses & Dissertations. 67.