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fys iks!
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Homework Statement
Assume that the coordinates of O' are given as the following linear combination's of those of O:
t' = alpha t +beta x
x' = mu t + nu x
y' = ay
z' = bz
where alpha, beta, mu, nu, a and b may be functions of the velocity v of O' relative to O, but they do not depend on coordinates. Find the numbers {M_nm n,m = 0,...,3} of equation 1.2 (the equation below) in terms of alpha, beta, mu, nu, a and b.
Homework Equations
delta S^2 = sum sum M_nm (delta X^n) (delta X^m)
Both of the sums are from m = 0 -> 3 and n = 0 -> 3)
The Attempt at a Solution
I haven't tried a question like this before and was wondering if someone could help get me started.