Step potential and Ramsauer-Townsend effect in Wigner-Dunkl quantum mechanics
DOI:
https://doi.org/10.31349/RevMexFis.69.011201Keywords:
Dunkl, ν-deformed, Wigner-Dunkl-Schr¨odinger equationAbstract
In this paper the continuity equation for Wigner-Dunkl-Schrodinger equation is studied. Some properties of ¨ ν-deformed functions related to Dunkl derivative are also studied. Based on these, the step potential and Ramsauer-Townsend effect are discussed in Wigner-Dunkl quantum mechanics
References
E. Wigner, Phys. Rev. 77, 711 (1950).
L.Yang, Phys. Rev. 84 ,788 (1951).
N. Mukunda, E.C.G. Sudarshan, J.K. Sharma and C.L. Mehta, J. Math. Phys. 21,(1980).
J.K. Sharma, C.L. Mehta, N. Mukunda and E.C.G. Sudarshan, J. Math. Phys. 22,(1981).
C. Dunkl, Trans. Amer. Math. Soc. 311, 167 (1989).
E.I. Jafarov, S. Lievens and J. Van der Jeugt, J. Phys. A41, 235201 (2008).
V. Genest, M.Ismail, L. Vinet and A. Zhedanov, J. Phys. A46, 145201 (2013).
V. Genest, M. Ismail, L. Vinet and A. Zhedanov, Comm. Math. Phys. 329, 999 (2014).
V. Genest, L. Vinet and A. Zhedanov, J. Phys: Conf. Ser. 512, 012010 (2014).
H. Carrion and R. Rodrigues, Mod.Phys.Lett. A 25, 2507 (2010).
S.Sargolzaeipor, H. Hassanabadi and W.Chung, Mod.Phys.Lett.A 33 ,1850146 (2018)
W.Chung and H.Hassanabadi, Mod. Phys. Lett. A 34, 1950190 (2019).
Downloads
Published
How to Cite
Issue
Section
License
Copyright (c) 2022 Ali Askari, Hassan Hassanabadi, Won Sang Chung
This work is licensed under a Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.
Authors retain copyright and grant the Revista Mexicana de Física right of first publication with the work simultaneously licensed under a CC BY-NC-ND 4.0 that allows others to share the work with an acknowledgement of the work's authorship and initial publication in this journal.