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The fractional Schrödinger equation for delta potentials
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10.1063/1.3525976
/content/aip/journal/jmp/51/12/10.1063/1.3525976
http://aip.metastore.ingenta.com/content/aip/journal/jmp/51/12/10.1063/1.3525976
View: Figures

Figures

Image of FIG. 1.
FIG. 1.

Plot of as a function of , where , as given by Eq. (35), for different values of α.

Image of FIG. 2.
FIG. 2.

Reflection and transmission coefficients as a function of E/U, as given by Eq. (57), for different values of α.

Image of FIG. 3.
FIG. 3.

Probability distribution (in units of ) as a function of , as given by Eq. (44), for different values of α, when E/U = 2, and r and t given by Eq. (56).

Image of FIG. 4.
FIG. 4.

Plot of the functions in Eq. (76) (with ) and identification of the eigenvalues of κ for different values of α.

Image of FIG. 5.
FIG. 5.

Plot of as a function of , where , as given by Eq. (77), for different values of α.

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/content/aip/journal/jmp/51/12/10.1063/1.3525976
2010-12-21
2014-04-16
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752b84549af89a08dbdd7fdb8b9568b5 journal.articlezxybnytfddd
Scitation: The fractional Schrödinger equation for delta potentials
http://aip.metastore.ingenta.com/content/aip/journal/jmp/51/12/10.1063/1.3525976
10.1063/1.3525976
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