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Galilean Tensor Calculus
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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.
Title: Galilean Tensor Calculus
Description:
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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