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A numerical method for the fractional Schrödinger type equation of spatial dimension two
Publication . Ford, Neville J.; Rodrigues, M. Manuela; Vieira, Nelson
This work focuses on an investigation of the (n+1)-dimensional time-dependent fractional Schrödinger type equation. In the early part of the paper, the wave function is obtained using Laplace and Fourier transform methods and a symbolic operational form of the solutions in terms of Mittag-Leffler functions is provided. We present an expression for the wave function and for the quantum mechanical probability density. We introduce a numerical method to solve the case where the space component has dimension two. Stability conditions for the numerical scheme are obtained.
2013-03-19Artigo científico Acesso restrito Ver mais