Step potential and Ramsauer-Townsend effect in Wigner-Dunkl quantum mechanics


  • Ali Askari Shahrood University of Technology
  • Hassan Hassanabadi Shahrood University of Technology
  • Won Sang Chung Gyeongsang National University



Dunkl, ν-deformed, Wigner-Dunkl-Schr¨odinger equation


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


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).




How to Cite

A. Askari, H. Hassanabadi, and Won Sang Chung, “Step potential and Ramsauer-Townsend effect in Wigner-Dunkl quantum mechanics”, Rev. Mex. Fís., vol. 69, no. 1 Jan-Feb, pp. 011201 1–, Jan. 2023.