Algebraic Vector and Tensor Operations

In chapter 2 the Kronecker delta Sij and the totally antisymmetric Levi-Civit symbol were introduced by Eqs. (2.11) and (2.9), respectively. Their relation to each other is given by 

The Euclidean scalar product between two arbitrary three-dimensional vectors A and B is given by 

Relativistic Quantum Chemistry. Markus Reiher and Alexander Wolf 

AyBz AzBy AzBx — AxBz AxBy — AyBx 

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