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- W2341852004 abstract "We study L'evy flights with arbitrary index $0<ensuremath{mu}ensuremath{le}2$ inside a potential well of infinite depth. Such a problem appears in many physical systems ranging from stochastic interfaces to fracture dynamics and multifractality in disordered quantum systems. The major technical tool is a transformation of the eigenvalue problem for initial fractional Schrodinger equation into that for Fredholm integral equation with hypersingular kernel. The latter equation is then solved by means of expansion over the complete set of orthogonal functions in the domain $D$, reducing the problem to the spectrum of a matrix of infinite dimensions. The eigenvalues and eigenfunctions are then obtained numerically with some analytical results regarding the structure of the spectrum." @default.
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- W2341852004 date "2016-05-05" @default.
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- W2341852004 title "Lévy flights in an infinite potential well as a hypersingular Fredholm problem" @default.
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- W2341852004 doi "https://doi.org/10.1103/physreve.93.052110" @default.
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