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- Title
DKP equation in Wigner–Dunkl quantum mechanics framework.
- Authors
Askari, Ali; Hassanabadi, Hassan; Chung, Won Sang
- Abstract
This paper explores the topic of relativistic particles with zero spins from a unique perspective. Our approach is derived from the Dunkl derivative, which we used to investigate this issue. By examining the (1 + 1)-dimensional DKP equation, we obtain eigenfunctions. Additionally, we replace the standard partial derivative with the Dunkl derivative and solve the relativistic particle problem in a box using the new formalism. We then determine the energy spectrum for this scenario. Following this, we investigate the scattering of the potential step problem and the Ramsauer–Townsend effect separately. Finally, we calculate the coefficients of transmission and reflection.
- Subjects
QUANTUM mechanics; REFLECTANCE; PARTICLE spin; EQUATIONS; EIGENFUNCTIONS
- Publication
International Journal of Modern Physics A: Particles & Fields; Gravitation; Cosmology; Nuclear Physics, 2023, Vol 38, Issue 15/16, p1
- ISSN
0217-751X
- Publication type
Article
- DOI
10.1142/S0217751X23500616