R-separation of variables for the four-dimensional flat space laplace and hamilton-jacobi equations

E. G. Kalnins; Willard Miller

doi:10.1090/S0002-9947-1978-0506618-2

R-separation of variables for the four-dimensional flat space laplace and hamilton-jacobi equations

E. G. Kalnins
, Willard Miller

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

12 Scopus citations

Abstract

All R-separable orthogonal coordinate systems for the complex equations(Formula Presented) are classified and it is shown that these equations separate in exactly the same systems.

Original language	English (US)
Pages (from-to)	241-261
Number of pages	21
Journal	Transactions of the American Mathematical Society
Volume	244
DOIs	https://doi.org/10.1090/S0002-9947-1978-0506618-2
State	Published - Oct 1978
Externally published	Yes

Keywords

Conformal symmetry
Flat space
Hamilton-Jacobi equation
Laplace equation
Separation of variables

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10.1090/S0002-9947-1978-0506618-2

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title = "R-separation of variables for the four-dimensional flat space laplace and hamilton-jacobi equations",

abstract = "All R-separable orthogonal coordinate systems for the complex equations(Formula Presented) are classified and it is shown that these equations separate in exactly the same systems.",

keywords = "Conformal symmetry, Flat space, Hamilton-Jacobi equation, Laplace equation, Separation of variables",

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

year = "1978",

month = oct,

doi = "10.1090/S0002-9947-1978-0506618-2",

language = "English (US)",

volume = "244",

pages = "241--261",

journal = "Transactions of the American Mathematical Society",

issn = "0002-9947",

publisher = "American Mathematical Society",

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TY - JOUR

T1 - R-separation of variables for the four-dimensional flat space laplace and hamilton-jacobi equations

AU - Kalnins, E. G.

AU - Miller, Willard

PY - 1978/10

Y1 - 1978/10

N2 - All R-separable orthogonal coordinate systems for the complex equations(Formula Presented) are classified and it is shown that these equations separate in exactly the same systems.

AB - All R-separable orthogonal coordinate systems for the complex equations(Formula Presented) are classified and it is shown that these equations separate in exactly the same systems.

KW - Conformal symmetry

KW - Flat space

KW - Hamilton-Jacobi equation

KW - Laplace equation

KW - Separation of variables

UR - https://www.scopus.com/pages/publications/33746332063

UR - https://www.scopus.com/pages/publications/33746332063#tab=citedBy

U2 - 10.1090/S0002-9947-1978-0506618-2

DO - 10.1090/S0002-9947-1978-0506618-2

M3 - Article

AN - SCOPUS:33746332063

SN - 0002-9947

VL - 244

SP - 241

EP - 261

JO - Transactions of the American Mathematical Society

JF - Transactions of the American Mathematical Society

ER -

R-separation of variables for the four-dimensional flat space laplace and hamilton-jacobi equations

Abstract

Keywords

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