Published May 1999 | Version v1
Journal article

Non-integrability of a system of interacting particles with the Dyson potential

  • 1. MGU im. M.V. Lomonosova, Moscow (Russian Federation)

Description

The problem on the integrability of a system of interacting particles with the Dyson potential is considered. It is shown that this system may have only one simple polynomial first integral

Abstract (Russian)

Рассматривается задача об интегрируемости системы взаимодействующих частиц с потенциалом Дайсона. Показано, что такая система может иметь только один однозначный полиноминальный первый интеграл

Additional details

Additional titles

Original title (Russian)
Неинтегрируемост' системы взаимодействующих частист с потенциалом Дайсона

Publishing Information

Journal Title
Doklady Akademii Nauk - Rossijskaya Akademiya Nauk
Journal Volume
366
Journal Issue
1
Journal Page Range
p. 30-31
ISSN
0869-5652
CODEN
DAKNEQ

INIS

Country of Publication
Russian Federation
Country of Input or Organization
Russian Federation
INIS RN
32030143
Subject category
S72: PHYSICS OF ELEMENTARY PARTICLES AND FIELDS;
Descriptors DEI
DYSON REPRESENTATION; HAMILTONIANS; INTEGRAL EQUATIONS; INTEGRALS; PARTICLE INTERACTIONS; STOCHASTIC PROCESSES; THREE-DIMENSIONAL CALCULATIONS
Descriptors DEC
EQUATIONS; INTERACTIONS; MATHEMATICAL OPERATORS; QUANTUM OPERATORS

Optional Information

Notes
9 refs.