Published June 2003 | Version v1
Journal article Metadata-only

Multipole pseudopotential method for some problems of scattering quantum theory

Creators

  • 1. Voronezhskij Gosudarstvennyj Univ., NII Matematiki, Voronezh (Russian Federation)

Description

The multipole pseudopotential, making it possible to restore the wave function for certain problems on the quantum theory of scattering, described by the nonlinear wave equation with the finite potential and nonlocal boundary condition, predetermined in the terms of the scattering amplitude, is plotted. It is established, that the wave function structure is completely determined by the scattering amplitude and does not depend on the potential choice

Abstract (Russian)

Для некоторых задач квантовой теории рассеяния, описываемых нелинейным волновым уравнением с финитным потенциалом и нелокальным краевым условием, заданным в терминах амплитуды рассеяния, построен мультипольный псевдопотенциал, позволяющий восстановить волновую функцию. Установлено, что структура волновой функции целиком определяется амплитудой рассеяния и не зависит от выбора потенциала

Additional details

Additional titles

Original title (Russian)
Метод мультипольного псевдопотенциала для некоторых задач квантовой теории рассеяния

Publishing Information

Journal Title
Teoreticheskaya i Matematicheskaya Fizika
Journal Volume
135
Journal Issue
3
Journal Page Range
p. 504-514
ISSN
0564-6162
CODEN
TMFZAL

INIS

Country of Publication
Russian Federation
Country of Input or Organization
Russian Federation
INIS RN
35093678
Subject category
S71: CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS;
Descriptors DEI
BOUNDARY-VALUE PROBLEMS; CLASSICAL MECHANICS; MULTIPOLES; NONLINEAR PROBLEMS; PARTIAL WAVES; POTENTIALS; QUANTUM MECHANICS; SCATTERING AMPLITUDES; WAVE EQUATIONS; WAVE FUNCTIONS
Descriptors DEC
AMPLITUDES; DIFFERENTIAL EQUATIONS; EQUATIONS; FUNCTIONS; MECHANICS; PARTIAL DIFFERENTIAL EQUATIONS

Optional Information

Notes
14 refs.