Published December 1987 | Version v1
Journal article Metadata-only

Separable coordinates and particle creation I: the klein-Gordon equation

Creators

  • 1. Centro Brasileiro de Pesquisas Fisicas, Rio de Janeiro

Description

A very simple derivation of the 10 orthogonal coordinate systems where the Klein-Gordon equation separates is presented. It is based on the conformal structure of the two dimensional Minkowski space. Horizons, proper time and acceleration of abserves that follow the time coordinate line, as well as other physical properties of the systems, are obtained. The relevance of these coordinates is discussed, specially in the context of quantum field theory in curved space. (author)

Abstract (Portuguese)

Apresenta-se uma derivacao muito simples dos 10 sistemas de coordenadas ortogonais em que a equacao de Klein-Gordon se separa. A derivacao e baseada na estrutura conforme do espaco de Minkowski bidimensional. Horizontes, tempo proprio e aceleracao de observadores que seguem as linhas de coordenadas de tempo bem como propriedades fisicas dos sistemas sao deduzidos. E discutida a importancia destas coordenadas, especialmente no contexto da teoria quantica de campos em espacos curvo. (autor)

Additional details

Publishing Information

Journal Title
Rev. Bras. Fis.
Journal Volume
17
Journal Issue
4
Series
Rev. Bras. Fis.
Journal Page Range
585-600
ISSN
0374-4922
CODEN
RBFSA

INIS

Country of Publication
Brazil
Country of Input or Organization
Brazil
INIS RN
19073785
Subject category
S71: CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS;
Descriptors DEI
ACCELERATION; CONFORMAL GROUPS; CURVILINEAR COORDINATES; KLEIN-GORDON EQUATION; METRICS; MINKOWSKI SPACE; SPACE-TIME; TWO-DIMENSIONAL CALCULATIONS
Descriptors DEC
COORDINATES; DIFFERENTIAL EQUATIONS; EQUATIONS; FIELD EQUATIONS; LIE GROUPS; MATHEMATICAL SPACE; PARTIAL DIFFERENTIAL EQUATIONS; SPACE; SYMMETRY GROUPS; WAVE EQUATIONS