title: Quantum Lorentz Gas: Effective Equations and Spectral Analysis
metadata.name: dc.contributor.author
metadata.value: Kuperin, Yu. A
metadata.lang: -
metadata.name: dc.contributor.author
metadata.value: Levin, S. B.
metadata.lang: -
metadata.name: dc.contributor.author
metadata.value: Melnikov, Yu. B.
metadata.lang: -
metadata.name: dc.contributor.author
metadata.value: Pavlov, B. S.
metadata.lang: -
metadata.name: dc.date.accessioned
metadata.value: 2015-08-27T13:07:19Z
metadata.lang: -
metadata.name: dc.date.available
metadata.value: 2015-08-27T13:07:19Z
metadata.lang: -
metadata.name: dc.date.issued
metadata.value: 1997
metadata.lang: -
metadata.name: dc.identifier.uri
metadata.value: http://hdl.handle.net/11701/1688
metadata.lang: -
metadata.name: dc.description.abstract
metadata.value: 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
metadata.lang: en_GB
metadata.name: dc.description.sponsorship
metadata.value: ECRussia collaboration Contract ESPRIT P 9282 ACTCS, International Science Foundation and the Russian Foundation for Fundamental Reseaxch.
metadata.lang: en_GB
metadata.name: dc.language.iso
metadata.value: en
metadata.lang: en_GB
metadata.name: dc.publisher
metadata.value: Elsevier Science Ltd
metadata.lang: en_GB
metadata.name: dc.relation.ispartofseries
metadata.value: Computers Math. Applic.;Vol. 34, No. 5/6
metadata.lang: -
metadata.name: dc.subject
metadata.value: Quantum Lorentz gas
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: Spectral analysis
metadata.lang: en_GB
metadata.name: dc.title
metadata.value: Quantum Lorentz Gas: Effective Equations and Spectral Analysis
metadata.lang: en_GB
metadata.name: dc.type
metadata.value: Article
metadata.lang: en_GB
resources.filename: Quantum Lorentz Gas_ Effectiv Equation and Spectral Analysis.pdf
resources.url: https://dspace.spbu.ru/bitstream/11701/1688/1/Quantum%20Lorentz%20Gas_%20Effectiv%20Equation%20and%20Spectral%20Analysis.pdf
resources.format: Adobe PDF
resources.size: 672,09 kB