Scattering of a particle with internal structure from a single slit

Exact numerical solutions

Piroska Dömötör, P. Földi, M. Benedict, Bruce W. Shore, Wolfgang P. Schleich

Research output: Contribution to journalArticle

2 Citations (Scopus)

Abstract

Scattering of a quantum particle with internal structure is fundamentally different from that of a point particle and shows quantum effects such as the modification of transmission due to tunnelling and trapping of the particle. As in a preceding paper (Shore et al 2014 New J. Phys. 17 013046) we consider a model of a symmetric, rigid rotor travelling through an aperture in a thin but impenetrable screen which is perpendicular to both the direction of motion and the rotation axis. We determine the quantum mechanical properties of this two-dimensional geometrical model using a quasi one-dimensional scattering problem with unconventional boundaries. Our calculations rely on finding the Green's function, which has a direct connection to the scattering matrix. Evaluated on a discrete lattice the Hamiltonian is 'dressed' by a self-energy correction that takes into account the open boundary conditions in an exact way. We find that the passage through the aperture can be suppressed or enhanced as a result of the rotational motion. These effects manifest themselves through resonances in the transmission probability as a function of incident energy and symmetry of the incident wavefunction. We determine the density-of-states to reveal the mode structure of resonant states and to exhibit the lifetimes of temporary trapping within the aperture.

Original languageEnglish
Article number023044
JournalNew Journal of Physics
Volume17
DOIs
Publication statusPublished - Feb 13 2015

Fingerprint

slits
apertures
trapping
scattering
rigid rotors
S matrix theory
Green's functions
mechanical properties
boundary conditions
life (durability)
energy
symmetry

Keywords

  • Greens function
  • quantum corrections to rotor passage through aperture
  • scattering of structured particles

ASJC Scopus subject areas

  • Physics and Astronomy(all)

Cite this

Scattering of a particle with internal structure from a single slit : Exact numerical solutions. / Dömötör, Piroska; Földi, P.; Benedict, M.; Shore, Bruce W.; Schleich, Wolfgang P.

In: New Journal of Physics, Vol. 17, 023044, 13.02.2015.

Research output: Contribution to journalArticle

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