Trent University Graduate Thesis Collection

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    Sinc-Collocation Difference Methods for Solving the Gross-Pitaevskii Equation

    Year: 2020, 2020
    Member of: Trent University Graduate Thesis Collection
    Name(s): Creator (cre): Kang, Shengnan, Thesis advisor (ths): Abdella, Kenzu, Thesis advisor (ths): Pollanen, Marco, Degree granting institution (dgg): Trent University
    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