Computing the Ground State Solution of Bose--Einstein Condensates by a Normalized Gradient Flow
Computing the Ground State Solution of Bose--Einstein Condensates by a Normalized Gradient Flow
In this paper, we present a continuous normalized gradient flow (CNGF) and prove its energy diminishing property, which provides a mathematical justification of the imaginary time method used in the physics literature to compute the ground state solution of Bose--Einstein condensates (BEC). We also investigate the energy diminishing property for …