MS6: Numerical Approximation of Partial Differential Equations I Schrödinger Equation with Fractional Lapla- cians

نویسنده

  • Yanzhi Zhang
چکیده

Recently, one debate in the literature is whether the fractional Schródinger equation in an infinite potential well has the same eigenfunctions as those of its standard (non-fractional) counterpart. Due to the nonlocality of the fractional Laplacian, it is challenging to find the eigenvalues and eigenfunctions of the fractional Schródinger equation analytically. In this talk, we numerically study the eigenfuctions of the fractional Schródinger equation.

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تاریخ انتشار 2015