Standard

Quantum Lorentz gas : Effective equations and spectral analysis. / Kuperin, Yu A.; Levin, S. B.; Melnikov, Yu B.; Pavlov, B. S.

In: Computers and Mathematics with Applications, Vol. 34, No. 5-6, 09.1997, p. 599-612.

Research output: Contribution to journal › Article › peer-review

Harvard

Kuperin, YA, Levin, SB, Melnikov, YB & Pavlov, BS 1997, 'Quantum Lorentz gas: Effective equations and spectral analysis', Computers and Mathematics with Applications, vol. 34, no. 5-6, pp. 599-612. https://doi.org/10.1016/s0898-1221(97)00156-9

APA

Kuperin, Y. A., Levin, S. B., Melnikov, Y. B., & Pavlov, B. S. (1997). Quantum Lorentz gas: Effective equations and spectral analysis. Computers and Mathematics with Applications, 34(5-6), 599-612. https://doi.org/10.1016/s0898-1221(97)00156-9

Vancouver

Kuperin YA, Levin SB, Melnikov YB, Pavlov BS. Quantum Lorentz gas: Effective equations and spectral analysis. Computers and Mathematics with Applications. 1997 Sep;34(5-6):599-612. https://doi.org/10.1016/s0898-1221(97)00156-9

Author

Kuperin, Yu A. ; Levin, S. B. ; Melnikov, Yu B. ; Pavlov, B. S. / Quantum Lorentz gas : Effective equations and spectral analysis. In: Computers and Mathematics with Applications. 1997 ; Vol. 34, No. 5-6. pp. 599-612.

BibTeX

@article{daaf1237c13e45c2aa14f0a477c3b3a5,
title = "Quantum Lorentz gas: Effective equations and spectral analysis",
abstract = "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.",
keywords = "Quantum Lorentz gas, Spectral analysis",
author = "Kuperin, {Yu A.} and Levin, {S. B.} and Melnikov, {Yu B.} and Pavlov, {B. S.}",
note = "Funding Information: Some of the authors (Yu.K. and B.P.) gratefully acknowledge the hospitality of the International Solv~y Institutes for Physics and Chemistry and personally I. Prigogine. We are grateful to I. Antoniou, F. Bosco, and S. Vinitsky for fruitful discussions. This work was supported by the Commission of the European Communities under EC-Russia collaboration Contract ESPRIT P 9282 ACTCS. The research described in this publication was made possible in part by support of the International Science Foundation and the Russian Foundation for Fundamental Reseaxch.",
year = "1997",
month = sep,
doi = "10.1016/s0898-1221(97)00156-9",
language = "English",
volume = "34",
pages = "599--612",
journal = "Computers and Mathematics with Applications",
issn = "0898-1221",
publisher = "Elsevier",
number = "5-6",

}

RIS

TY - JOUR

T1 - Quantum Lorentz gas

T2 - Effective equations and spectral analysis

AU - Kuperin, Yu A.

AU - Levin, S. B.

AU - Melnikov, Yu B.

AU - Pavlov, B. S.

N1 - Funding Information: Some of the authors (Yu.K. and B.P.) gratefully acknowledge the hospitality of the International Solv~y Institutes for Physics and Chemistry and personally I. Prigogine. We are grateful to I. Antoniou, F. Bosco, and S. Vinitsky for fruitful discussions. This work was supported by the Commission of the European Communities under EC-Russia collaboration Contract ESPRIT P 9282 ACTCS. The research described in this publication was made possible in part by support of the International Science Foundation and the Russian Foundation for Fundamental Reseaxch.

PY - 1997/9

Y1 - 1997/9

N2 - 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.

AB - 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.

KW - Quantum Lorentz gas

KW - Spectral analysis

UR - http://www.scopus.com/inward/record.url?scp=0031221748&partnerID=8YFLogxK

U2 - 10.1016/s0898-1221(97)00156-9

DO - 10.1016/s0898-1221(97)00156-9

M3 - Article

AN - SCOPUS:0031221748

VL - 34

SP - 599

EP - 612

JO - Computers and Mathematics with Applications

JF - Computers and Mathematics with Applications

SN - 0898-1221

IS - 5-6

ER -

ID: 88562377