Notations used
We will be using the following notations wherever it is appropriate:
, and so on – Lowercase Greek letters for scalars.
, and so on – Lowercase Latin letters for column vectors in particle space. These vectors have n components denoted 
, and so on where k is an integer.
, and so on – Uppercase Latin letters for matrices in particle space. These are n X n matrices.
, and so on – The prime symbol (') and the letter 
stand for vector and matrix transpose.
, and so on – The asterisk symbol (*) is used for vector and matrix complex conjugate.
, 
, and so on – The dagger symbol, 
, is used for vector and matrix complex conjugate transpose.
, and so on – A power to the negative one 
represents the inverse of a matrix.
, and so on – The o-times symbol 
represents the Kronecker product or tensor product of matrices and/or vectors.
, and so on. – The symbol 
represents the...