Published February 20, 1995 | Version v1
Journal article Metadata-only

Scattering on the Bruhat-Tits tree. Pt. 1

Creators

  • 1. Institute for Physical Research and Technology, Saint Petersburg (Russian Federation)
  • 2. St.-Petersburg State Univ. (Russian Federation). Dept. of Math. and Comput. Phys.
  • 3. International Solvay Institutes for Physics and Chemistry, CP 231, Boulevard du Triomphe, B-1050, Brussels (Belgium)

Description

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. ((orig.))

Additional details

Publishing Information

Journal Title
Physics Letters. A
Journal Volume
198
Journal Issue
2
Journal Page Range
p. 113-118.
ISSN
0375-9601
CODEN
PYLAAG

INIS

Country of Publication
Netherlands
Country of Input or Organization
Netherlands
INIS RN
26042649
Subject category
S71: CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; S72: PHYSICS OF ELEMENTARY PARTICLES AND FIELDS;
Descriptors DEI
ANALYTIC FUNCTIONS; EIGENSTATES; EIGENVALUES; HAMILTONIANS; HILBERT SPACE; LAPLACIAN; METRICS; QUANTUM MECHANICS; RESONANCE; RESONANCE SCATTERING; S MATRIX; SECULAR EQUATION; STEADY-STATE CONDITIONS
Descriptors DEC
BANACH SPACE; EQUATIONS; FUNCTIONS; INELASTIC SCATTERING; MATHEMATICAL OPERATORS; MATHEMATICAL SPACE; MATRICES; MECHANICS; QUANTUM OPERATORS; SCATTERING; SPACE