Lie theory and the wave equation in space-time. 5. R-separable solutions of the wave equation ψtt-Δ3ψ = 0

E. G. Kalnins; W. Miller

doi:10.1063/1.523482

Lie theory and the wave equation in space-time. 5. R-separable solutions of the wave equation ψ_tt-Δ₃ψ = 0

E. G. Kalnins
, W. Miller

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

2 Scopus citations

Abstract

A detailed classification is made of orthogonal coordinate systems for which the wave equation ψ_tt - Δ₃ψ = 0 admits an R -separable solution. Only those coordinate systems are given which are not conformally equivalent to coordinate systems that have been found in previous articles. We find 106 new coordinates to give a total of 367 conformally inequivalent orthogonal coordinates for which the wave equation admits an R -separation of variables.

Original language	English (US)
Pages (from-to)	1741-1751
Number of pages	11
Journal	Journal of Mathematical Physics
Volume	18
Issue number	9
DOIs	https://doi.org/10.1063/1.523482
State	Published - 1976
Externally published	Yes

Publisher link

10.1063/1.523482

Find It

Find It at U of M Libraries

Cite this

@article{799e3fb506c7448583bc017505bbe2af,

title = "Lie theory and the wave equation in space-time. 5. R-separable solutions of the wave equation ψtt-Δ3ψ = 0",

abstract = "A detailed classification is made of orthogonal coordinate systems for which the wave equation ψtt - Δ3ψ = 0 admits an R -separable solution. Only those coordinate systems are given which are not conformally equivalent to coordinate systems that have been found in previous articles. We find 106 new coordinates to give a total of 367 conformally inequivalent orthogonal coordinates for which the wave equation admits an R -separation of variables.",

author = "Kalnins, \{E. G.\} and W. Miller",

year = "1976",

doi = "10.1063/1.523482",

language = "English (US)",

volume = "18",

pages = "1741--1751",

journal = "Journal of Mathematical Physics",

issn = "0022-2488",

publisher = "American Institute of Physics",

number = "9",

}

TY - JOUR

T1 - Lie theory and the wave equation in space-time. 5. R-separable solutions of the wave equation ψtt-Δ3ψ = 0

AU - Kalnins, E. G.

AU - Miller, W.

PY - 1976

Y1 - 1976

N2 - A detailed classification is made of orthogonal coordinate systems for which the wave equation ψtt - Δ3ψ = 0 admits an R -separable solution. Only those coordinate systems are given which are not conformally equivalent to coordinate systems that have been found in previous articles. We find 106 new coordinates to give a total of 367 conformally inequivalent orthogonal coordinates for which the wave equation admits an R -separation of variables.

AB - A detailed classification is made of orthogonal coordinate systems for which the wave equation ψtt - Δ3ψ = 0 admits an R -separable solution. Only those coordinate systems are given which are not conformally equivalent to coordinate systems that have been found in previous articles. We find 106 new coordinates to give a total of 367 conformally inequivalent orthogonal coordinates for which the wave equation admits an R -separation of variables.

UR - https://www.scopus.com/pages/publications/36749107260

UR - https://www.scopus.com/pages/publications/36749107260#tab=citedBy

U2 - 10.1063/1.523482

DO - 10.1063/1.523482

M3 - Article

AN - SCOPUS:36749107260

SN - 0022-2488

VL - 18

SP - 1741

EP - 1751

JO - Journal of Mathematical Physics

JF - Journal of Mathematical Physics

IS - 9

ER -

Lie theory and the wave equation in space-time. 5. R-separable solutions of the wave equation ψ_tt-Δ₃ψ = 0

Abstract

Publisher link

Find It

Other files and links

Fingerprint

Cite this