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DOI: 10.1063/1.1704015

OpenAccess: Closed

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# <i>N</i>-Dimensional Total Orbital Angular-Momentum Operator

## Kenneth D. Granzow

Coordinate system

Angular momentum

Coordinate space

1963

A set of generalized polar coordinate systems are defined in N-dimensional space. The total orbital angular-momentum operator as defined by Louck is found to be a tensor invariant on the (N − 1)-dimensional unit sphere; hence it is easily explicitly determined in any of the possible generalized polar coordinate systems. Commuting operators can be found and the eigenvalue problem solved in many coordinate systems. Two examples are given: (1) a coordinate system of 3M dimensions where M is an integer, and (2) a coordinate system of 8 dimensions.

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“<i>N</i>-Dimensional Total Orbital Angular-Momentum Operator” is a paper by Kenneth D. Granzow published in 1963. It has an Open Access status of “closed”. You can read and download a PDF Full Text of this paper here.