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What is Epsilon-Delta and Kronecker Relations about?

1) The Kronecker delta relation and Levi-Civita symbols are used to derive the epsilon-delta relation. Setting repeated indices results in (δjmδkn - δjnδkm) = εijk × εlmn, the epsilon-delta relation. 2) For the vector triple product A × (B × C), writing it in terms of the Levi-Civita symbols gives Km = (Bm(A·C) - Cm(A·B)). 3) Combining the dot products and removing index notation provides the final expression for the vector triple product: A × (B × C) = B(A·C) -

Author

becks

Language

EN