Scattering of identical particles by a one-dimensional Dirac delta function barrier potential: The role of statistics
Abstract
Scattering of non-interacting, identical bosons or fermions by a one-dimensional Dirac delta function barrier potential underlines the importance of the role of statistics (that is, whether the particles obey Fermi–Dirac or Bose–Einstein statistics) in the scattering. We consider an initial wave function for the system that corresponds to one particle incident from the left and one from the right of the potential barrier. For bosons, both particles are scattered either to the left or to the right if the intensity reflection coefficient is 1/2, provided the left and right propagating wave packets fully overlap in the scattering region. For fermions, the particles “pass through” one another, provided the left and right propagating wave packets fully overlap in the scattering region, with zero probability that both particles are scattered to the left or right, consistent with the Pauli exclusion principle.
Document Details
- Document Type
- Pub Defense Publication
- Publication Date
- Oct 01, 2023
- Source ID
- 10.1119/5.0089907
Entities
People
- Alberto G. Rojo
- P. R. Berman
Organizations
- Air Force Office of Scientific Research
- National Science Foundation
- Oakland University
- University of Michigan