Quantum lorentz gas: Effective equations and spectral analysis

We consider the quantum Lorentz gas (QLG) in the plane. We show that the spectral properties of the quantum Lorentz gas can be obtained from the study of a homogeneous system of one-dimensional integral equations. The qualitative spectral analysis is performed, and the spectrum is shown to have a ba...

Full description

Saved in:
Bibliographic Details
Published in:Computers & mathematics with applications (1987) 1997-09, Vol.34 (5), p.599-612
Main Authors: Kuperin, Yu.A., Levin, S.B., Melnikov, Yu.B., Pavlov, B.S.
Format: Article
Language:English
Subjects:
Quantum Lorentz gas
Spectral analysis
Citations: Items that this one cites
Items that cite this one
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:We consider the quantum Lorentz gas (QLG) in the plane. We show that the spectral properties of the quantum Lorentz gas can be obtained from the study of a homogeneous system of one-dimensional integral equations. The qualitative spectral analysis is performed, and the spectrum is shown to have a band structure. The wave functions in the complete configuration space can be constructed in terms of the solutions of the obtained effective equations. We apply the obtained result to a simpler Lorentz gas model including additional symmetry.
ISSN:0898-1221
1873-7668
DOI:10.1016/S0898-1221(97)00156-9