SCATTERING ON THE BRUHAT-TITS TREE .1.

Citation
Rv. Romanov et Ge. Rudin, SCATTERING ON THE BRUHAT-TITS TREE .1., Physics letters. A, 198(2), 1995, pp. 113-118
Citations number
12
Categorie Soggetti
Physics
Journal title
ISSN journal
03759601
Volume
198
Issue
2
Year of publication
1995
Pages
113 - 118
Database
ISI
SICI code
0375-9601(1995)198:2<113:SOTBT.>2.0.ZU;2-R
Abstract
The scattering problem on the Bruhat-Tits tree being the realization o f the p-adic hyperbolic plane is studied. The spectral decomposition o f the corresponding Laplace-Beltrami operator is constructed. The Lax- Philips resonance scattering theory for the problem is developed in a closed form. The properties of the analytic continuation of the S-matr ix are described.