Year 2019, Volume 2 , Issue 1, Pages 32 - 35 2019-01-30

EFFECTIVE MASS KLEIN-GORDON EQUATION WITH POSITION DEPENDENT MAGNETIC FIELD

Özgür MIZRAK [1] , Oktay AYDOĞDU [2] , Kenan SÖĞÜT [3]


Recently, exact solutions of the classical and relativistic wave equations for the existance of an external potential have been widely studied in view of the position-dependent mass formalism. Such eorts have important applications in technology, especially in material science such as electronic properties of the semi-conductors and quantum dots. In the present study, we aim to obtain exact solutions of the Klein-Gordon equation in the presence of an exponential magnetic eld via effective mass formalism. Energy eigenvalues are derived by using wave functions. The studied magnetic eld and effective mass have the form ~B = B0e􀀀x^k and m(x) = (m0 + m1e􀀀x).
Klein-Gordon equations, external elds
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Primary Language en
Subjects Mathematics
Journal Section Research Article
Authors

Author: Özgür MIZRAK (Primary Author)
Institution: MERSIN UNIVERSITY
Country: Turkey


Author: Oktay AYDOĞDU
Institution: MERSIN UNIVERSITY
Country: Turkey


Author: Kenan SÖĞÜT
Institution: MERSIN UNIVERSITY
Country: Turkey


Dates

Application Date : January 2, 2019
Acceptance Date : January 22, 2019
Publication Date : January 30, 2019

Bibtex @research article { jum506496, journal = {Journal of Universal Mathematics}, issn = {2618-5660}, eissn = {2618-5660}, address = {editorinchief@junimath.com}, publisher = {Gökhan ÇUVALCIOĞLU}, year = {2019}, volume = {2}, pages = {32 - 35}, doi = {10.33773/jum.506496}, title = {EFFECTIVE MASS KLEIN-GORDON EQUATION WITH POSITION DEPENDENT MAGNETIC FIELD}, key = {cite}, author = {Mızrak, Özgür and Aydoğdu, Oktay and Söğüt, Kenan} }
APA Mızrak, Ö , Aydoğdu, O , Söğüt, K . (2019). EFFECTIVE MASS KLEIN-GORDON EQUATION WITH POSITION DEPENDENT MAGNETIC FIELD . Journal of Universal Mathematics , 2 (1) , 32-35 . DOI: 10.33773/jum.506496
MLA Mızrak, Ö , Aydoğdu, O , Söğüt, K . "EFFECTIVE MASS KLEIN-GORDON EQUATION WITH POSITION DEPENDENT MAGNETIC FIELD" . Journal of Universal Mathematics 2 (2019 ): 32-35 <https://dergipark.org.tr/en/pub/jum/issue/42856/506496>
Chicago Mızrak, Ö , Aydoğdu, O , Söğüt, K . "EFFECTIVE MASS KLEIN-GORDON EQUATION WITH POSITION DEPENDENT MAGNETIC FIELD". Journal of Universal Mathematics 2 (2019 ): 32-35
RIS TY - JOUR T1 - EFFECTIVE MASS KLEIN-GORDON EQUATION WITH POSITION DEPENDENT MAGNETIC FIELD AU - Özgür Mızrak , Oktay Aydoğdu , Kenan Söğüt Y1 - 2019 PY - 2019 N1 - doi: 10.33773/jum.506496 DO - 10.33773/jum.506496 T2 - Journal of Universal Mathematics JF - Journal JO - JOR SP - 32 EP - 35 VL - 2 IS - 1 SN - 2618-5660-2618-5660 M3 - doi: 10.33773/jum.506496 UR - https://doi.org/10.33773/jum.506496 Y2 - 2019 ER -
EndNote %0 Journal of Universal Mathematics EFFECTIVE MASS KLEIN-GORDON EQUATION WITH POSITION DEPENDENT MAGNETIC FIELD %A Özgür Mızrak , Oktay Aydoğdu , Kenan Söğüt %T EFFECTIVE MASS KLEIN-GORDON EQUATION WITH POSITION DEPENDENT MAGNETIC FIELD %D 2019 %J Journal of Universal Mathematics %P 2618-5660-2618-5660 %V 2 %N 1 %R doi: 10.33773/jum.506496 %U 10.33773/jum.506496
ISNAD Mızrak, Özgür , Aydoğdu, Oktay , Söğüt, Kenan . "EFFECTIVE MASS KLEIN-GORDON EQUATION WITH POSITION DEPENDENT MAGNETIC FIELD". Journal of Universal Mathematics 2 / 1 (January 2019): 32-35 . https://doi.org/10.33773/jum.506496
AMA Mızrak Ö , Aydoğdu O , Söğüt K . EFFECTIVE MASS KLEIN-GORDON EQUATION WITH POSITION DEPENDENT MAGNETIC FIELD. JUM. 2019; 2(1): 32-35.
Vancouver Mızrak Ö , Aydoğdu O , Söğüt K . EFFECTIVE MASS KLEIN-GORDON EQUATION WITH POSITION DEPENDENT MAGNETIC FIELD. Journal of Universal Mathematics. 2019; 2(1): 32-35.
IEEE Ö. Mızrak , O. Aydoğdu and K. Söğüt , "EFFECTIVE MASS KLEIN-GORDON EQUATION WITH POSITION DEPENDENT MAGNETIC FIELD", Journal of Universal Mathematics, vol. 2, no. 1, pp. 32-35, Jan. 2019, doi:10.33773/jum.506496