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Galilean Tensor Calculus
Journal article   Peer reviewed

Galilean Tensor Calculus

G. Pinski
Journal of mathematical physics, v 9(11), pp 1927-1930
Nov 1968

Abstract

Galilean transformations are expressed as transformations in a five‐dimensional space, with a subsidiary condition, and a Galilean tensor calculus with a nonsingular metric is developed. It is shown that the homogeneous Galilei group is isomorphic to a subgroup of the pseudo‐orthogonal group O(4, 1), which leaves the difference of two components of a vector invariant. A set of scalar variables for a Galilean‐invariant S matrix is selected. A Galilean‐invariant phase space is defined and a recursion relation derived.

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