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Scalar product of vectors (Read 3666 times)
Gerrit-Jan Linker
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Scalar product of vectors
14.01.08 at 21:06:35
Scalar product of vectors
The scalar product of two orthonormal vectors a.b is a number. If a is a row vector or a 1xN matrix and if b is a column vector or a Nx1 matrix. The result of the product of an 1xN and Nx1 matrix is a 1x1 matrix or just a number.  
Using a vector product in Dirac notation this becomes:
<a|b> = aadjointb = Sum(i=1..N) a*ibi
See also:
Scalar Product of Vectors
Dirac notation. Bra-ket notation
Orthonormal basis sets - Kronecker delta function
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« Last Edit: 15.01.08 at 22:41:13 by Gerrit-Jan Linker »  

Gerrit-Jan Linker
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