Published July 1984 | Version v1
Miscellaneous Restricted

The resonance expansion for the Green's function of the Schroedinger and wave equations

Creators

  • 1. Aix-Marseille-2 Univ., 13 - Marseille (France). Centre de Physique Theorique
  • 2. Bochum Univ. (Germany, F.R.). Inst. fuer Mathematik
  • 3. Oslo Univ. (Norway). Matematisk Inst.
  • 4. Aix-Marseille-1 Univ., 13 - Marseille (France)

Description

We give a survey of some recent mathematical work on resonances, in particular on perturbation series, low energy expansions and on resonances for point interactions. Expansions of the kernels of esup(-it)√sup(H+) and esup(-itH) in terms of resonances are also given (where Hsub(+) is the positive part of the Hamiltonian). (orig.)

Availability note (English)

MF available from INIS under the Report Number.

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Additional details

Publishing Information

Imprint Pagination
24 p.
Journal Issue
no. 102
Series
Bielefeld Univ. Zentrum fuer Interdisziplinaere Forschung. Project No. 2 mathematics + physics.
Report number
INIS-mf--9247

INIS

Country of Publication
Germany
Country of Input or Organization
Germany
INIS RN
16000017
Subject category
S71: CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS;
Descriptors DEI
GREEN FUNCTION; HAMILTONIANS; INTERACTION RANGE; KERNELS; PERTURBATION THEORY; QUANTUM MECHANICS; RESONANCE; SCHROEDINGER EQUATION; SERIES EXPANSION
Descriptors DEC
DIFFERENTIAL EQUATIONS; DISTANCE; EQUATIONS; FUNCTIONS; MATHEMATICAL OPERATORS; MECHANICS; PARTIAL DIFFERENTIAL EQUATIONS; QUANTUM OPERATORS; WAVE EQUATIONS