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 |