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Pseudotensor


A tensor-like object which reverses sign under inversion. Given a transformation matrix A,

 A_(ij)^'=det|A|a_(ik)a_(jl)A_(kl),

where det is the determinant. A pseudotensor is sometimes also called a tensor density.


See also

Pseudoscalar, Pseudovector, Scalar, Tensor Density

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References

Arfken, G. "Pseudotensors, Dual Tensors." §3.4 in Mathematical Methods for Physicists, 3rd ed. Orlando, FL: Academic Press, pp. 128-137, 1985.

Referenced on Wolfram|Alpha

Pseudotensor

Cite this as:

Weisstein, Eric W. "Pseudotensor." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/Pseudotensor.html

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