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Paper   IPM / Particles%20And%20Accelerator / 15479
School of Particles and Accelerator
  Title:   Scattering state in GUP by Milnes differential equation
  Author(s): 
1.  Ayda Armat
2.  Seyed Mohammad Moosavi Nejad
  Status:   Published
  Journal: Mod. Phys. Lett. A
  No.:  39
  Vol.:  33
  Year:  2018
  Supported by:  IPM
  Abstract:
In this paper, our main aim is to obtain the transmission (T) and the reflection (R) coeffcients for one-dimensional scattering state of the spin-1 2 particles in an interaction with a special nuclear potential. For this reason, at first, we consider Dirac equation and then obtain the Milnes nonlinear differential equation due to minimal length from Schrodinger-like equation and then calculate the T- and R-coeffcients using one-dimensional Woods Saxon potential on the basis of the generalized uncertainty principle. Finally, we will check the validity and the correctness of our results.

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