Year: 2020, 2020
Member of: Trent University Graduate Thesis Collection
Abstract: <p>The time-dependent Gross-Pitaevskii Equation, describing the movement of parti-</p><p>cles in quantum mechanics, may not be solved analytically due to its inherent non-</p><p>linearity. Hence numerical methods are of importance to approximate the solution.</p><p>This study develops a discrete scheme in time and space to simulate the solution</p>… more Full Text: Sinc-Collocation Difference Methods for Solving the Gross-Pitaevskii Equation A Thesis Submitted to the Committee on Graduate Studies in Partial Fulfillment of the Requirements for the Degree of Master of Science in the Faculty of Arts and Science TRENT …