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Scattering on the Bruhat-Tits tree. I. / Romanov, R. V.; Rudin, G. E.

In: Physics Letters A, Vol. 198, No. 2, 20.02.1995, p. 113-118.

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

Harvard

Romanov, RV & Rudin, GE 1995, 'Scattering on the Bruhat-Tits tree. I', Physics Letters A, vol. 198, no. 2, pp. 113-118. https://doi.org/10.1016/0375-9601(94)00997-4

APA

Romanov, R. V., & Rudin, G. E. (1995). Scattering on the Bruhat-Tits tree. I. Physics Letters A, 198(2), 113-118. https://doi.org/10.1016/0375-9601(94)00997-4

Vancouver

Romanov RV, Rudin GE. Scattering on the Bruhat-Tits tree. I. Physics Letters A. 1995 Feb 20;198(2):113-118. https://doi.org/10.1016/0375-9601(94)00997-4

Author

Romanov, R. V. ; Rudin, G. E. / Scattering on the Bruhat-Tits tree. I. In: Physics Letters A. 1995 ; Vol. 198, No. 2. pp. 113-118.

BibTeX

@article{c7e5bdbba9ec41c0bc0a4f8c618e66ca,
title = "Scattering on the Bruhat-Tits tree. I",
abstract = "The scattering problem on the Bruhat-Tits tree being the realization of the p-adic hyperbolic plane is studied. The spectral decomposition of the corresponding Laplace-Beltrami operator is constructed. The Lax-Phillips resonance scattering theory for the problem is developed in a closed form. The properties of the analytic continuation of the S-matrix are described.",
author = "Romanov, {R. V.} and Rudin, {G. E.}",
note = "Funding Information: We are indebtedt o S.I. Fedorov for fruitful discussions and to B.S. Pavlov for attractingo ur attentiont o scatteringp roblemsc onnectedw ith p-adic groups.W e are also grateful to I. Antoniou, Yu.A. Kuperin and Yu.B. Melnikov for essentialr emarks.O ne of authors (H.R.) gratefully acknowledgest he hospitality of the International Solvay Institutesf or Physics and Chemistry andp ersonallyI . Prigogine for thee ncouragement. We thank the Commission of the European Communities for financial supporti n thef rameworko f the EC-Russia collaboration (contractE CRUO02). Copyright: Copyright 2014 Elsevier B.V., All rights reserved.",
year = "1995",
month = feb,
day = "20",
doi = "10.1016/0375-9601(94)00997-4",
language = "English",
volume = "198",
pages = "113--118",
journal = "Physics Letters A",
issn = "0375-9601",
publisher = "Elsevier",
number = "2",

}

RIS

TY - JOUR

T1 - Scattering on the Bruhat-Tits tree. I

AU - Romanov, R. V.

AU - Rudin, G. E.

N1 - Funding Information: We are indebtedt o S.I. Fedorov for fruitful discussions and to B.S. Pavlov for attractingo ur attentiont o scatteringp roblemsc onnectedw ith p-adic groups.W e are also grateful to I. Antoniou, Yu.A. Kuperin and Yu.B. Melnikov for essentialr emarks.O ne of authors (H.R.) gratefully acknowledgest he hospitality of the International Solvay Institutesf or Physics and Chemistry andp ersonallyI . Prigogine for thee ncouragement. We thank the Commission of the European Communities for financial supporti n thef rameworko f the EC-Russia collaboration (contractE CRUO02). Copyright: Copyright 2014 Elsevier B.V., All rights reserved.

PY - 1995/2/20

Y1 - 1995/2/20

N2 - The scattering problem on the Bruhat-Tits tree being the realization of the p-adic hyperbolic plane is studied. The spectral decomposition of the corresponding Laplace-Beltrami operator is constructed. The Lax-Phillips resonance scattering theory for the problem is developed in a closed form. The properties of the analytic continuation of the S-matrix are described.

AB - The scattering problem on the Bruhat-Tits tree being the realization of the p-adic hyperbolic plane is studied. The spectral decomposition of the corresponding Laplace-Beltrami operator is constructed. The Lax-Phillips resonance scattering theory for the problem is developed in a closed form. The properties of the analytic continuation of the S-matrix are described.

UR - http://www.scopus.com/inward/record.url?scp=0009937905&partnerID=8YFLogxK

U2 - 10.1016/0375-9601(94)00997-4

DO - 10.1016/0375-9601(94)00997-4

M3 - Article

AN - SCOPUS:0009937905

VL - 198

SP - 113

EP - 118

JO - Physics Letters A

JF - Physics Letters A

SN - 0375-9601

IS - 2

ER -

ID: 73212563