释义 |
Kronecker DeltaThe simplest interpretation of the Kronecker delta is as the discrete version of the Delta Function defined by
 | (1) |
It has the Complex Generating Function
 | (2) |
where and are Integers. In 3-space, the Kronecker delta satisfies the identities
 | (3) |
 | (4) |
 | (5) |
 | (6) |
where Einstein Summation is implicitly assumed, , and is the Permutation Symbol.
Technically, the Kronecker delta is a Tensor defined by the relationship
 | (7) |
Since, by definition, the coordinates and are independent for ,
 | (8) |
so
 | (9) |
and is really a mixed second Rank Tensor. It satisfies
 | (10) |
 | (11) |
 | (12) |
See also Delta Function, Permutation Symbol
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