DSpace Repository

A fractional schrödinger equation and its solution

Show simple item record

dc.contributor.author Muslih, Sami I.
dc.contributor.author Baleanu, Dumitru
dc.contributor.author Agrawal, Om. P.
dc.date.accessioned 2016-06-09T08:05:45Z
dc.date.available 2016-06-09T08:05:45Z
dc.date.issued 2010-08
dc.identifier.citation Muslih, S.I., Baleanu, D., Agrawal, O.P. (2010). A fractional schrödinger equation and its solution. International Journal of Theoretical Physics, 49(8), 1746-1752. http://dx.doi.org/ 10.1007/s10773-010-0354-x tr_TR
dc.identifier.issn 0020-7748
dc.identifier.uri http://hdl.handle.net/20.500.12416/1054
dc.description.abstract This paper presents a fractional Schrodinger equation and its solution. The fractional Schrodinger equation may be obtained using a fractional variational principle and a fractional Klein-Gordon equation; both methods are considered here. We extend the variational formulations for fractional discrete systems to fractional field systems defined in terms of Caputo derivatives to obtain the fractional Euler-Lagrange equations of motion. We present the Lagrangian for the fractional Schrodinger equation of order alpha. We also use a fractional Klein-Gordon equation to obtain the fractional Schrodinger equation which is the same as that obtained using the fractional variational principle. As an example, we consider the eigensolutions of a particle in an infinite potential well. The solutions are obtained in terms of the sines of the Mittag-Leffler function tr_TR
dc.language.iso eng tr_TR
dc.publisher Springer/Plenum Publishers tr_TR
dc.relation.isversionof 10.1007/s10773-010-0354-x tr_TR
dc.rights info:eu-repo/semantics/closedAccess
dc.subject Lagrangian and Hamiltonian Approach tr_TR
dc.title A fractional schrödinger equation and its solution tr_TR
dc.type article tr_TR
dc.relation.journal International Journal of Theoretical Physics tr_TR
dc.identifier.volume 49 tr_TR
dc.identifier.issue 8 tr_TR
dc.identifier.startpage 1746 tr_TR
dc.identifier.endpage 1752 tr_TR
dc.contributor.department Çankaya Üniversitesi, Fen Edebiyat Fakültesi, Matematik Bilgisayar Bölümü tr_TR


Files in this item

Files Size Format View

There are no files associated with this item.

This item appears in the following Collection(s)

Show simple item record