### 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 language | English |
---|---|

Article number | 023044 |

Journal | New Journal of Physics |

Volume | 17 |

DOIs | |

Publication status | Published - Feb 13 2015 |

### Fingerprint

### Keywords

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

### ASJC Scopus subject areas

- Physics and Astronomy(all)

### Cite this

*New Journal of Physics*,

*17*, [023044]. https://doi.org/10.1088/1367-2630/17/2/023044

**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.

Research output: Contribution to journal › Article

*New Journal of Physics*, vol. 17, 023044. https://doi.org/10.1088/1367-2630/17/2/023044

}

TY - JOUR

T1 - Scattering of a particle with internal structure from a single slit

T2 - Exact numerical solutions

AU - Dömötör, Piroska

AU - Földi, P.

AU - Benedict, M.

AU - Shore, Bruce W.

AU - Schleich, Wolfgang P.

PY - 2015/2/13

Y1 - 2015/2/13

N2 - 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.

AB - 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.

KW - Greens function

KW - quantum corrections to rotor passage through aperture

KW - scattering of structured particles

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U2 - 10.1088/1367-2630/17/2/023044

DO - 10.1088/1367-2630/17/2/023044

M3 - Article

VL - 17

JO - New Journal of Physics

JF - New Journal of Physics

SN - 1367-2630

M1 - 023044

ER -