Field theory on R×S3 topology. I: The Klein-Gordon and Schrödinger equations

M. Carmeli

doi:10.1007/BF00735289

Field theory on R×S³ topology. I: The Klein-Gordon and Schrödinger equations

M. Carmeli

Department of Physics

Research output: Contribution to journal › Article › peer-review

76 Scopus citations

Abstract

A Klein-Gordon-type equation on R×S³ topology is derived, and its nonrelativistic Schrödinger equation is given. The equation is obtained with a Laplacian defined on S³ topology instead of the ordinary Laplacian. A discussion of the solutions and the physical interpretation of the equation are subsequently given, and the most general solution to the equation is presented.

Original language	English
Pages (from-to)	175-184
Number of pages	10
Journal	Foundations of Physics
Volume	15
Issue number	2
DOIs	https://doi.org/10.1007/BF00735289
State	Published - 1 Feb 1985

ASJC Scopus subject areas

General Physics and Astronomy

Access to Document

10.1007/BF00735289

Cite this

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title = "Field theory on R×S3 topology. I: The Klein-Gordon and Schr{\"o}dinger equations",

abstract = "A Klein-Gordon-type equation on R×S3 topology is derived, and its nonrelativistic Schr{\"o}dinger equation is given. The equation is obtained with a Laplacian defined on S3 topology instead of the ordinary Laplacian. A discussion of the solutions and the physical interpretation of the equation are subsequently given, and the most general solution to the equation is presented.",

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AB - A Klein-Gordon-type equation on R×S3 topology is derived, and its nonrelativistic Schrödinger equation is given. The equation is obtained with a Laplacian defined on S3 topology instead of the ordinary Laplacian. A discussion of the solutions and the physical interpretation of the equation are subsequently given, and the most general solution to the equation is presented.

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