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#

Local Densities and Currents

The complete density matrix
in spin-isospin space as defined in (1)
can be decomposed into the sum of scalar
and vector densities
,
where the
subscripts
denote the isospin quantum numbers:

The quantities
and
are
matrix elements of the Pauli matrices in spin and isospin space.
In terms of these, the local density ,
spin density ,
kinetic density ,
kinetic spin density ,
current ,
and spin-orbit tensor
are

The densities ,
,
and
are time-even, while
,
,
and
are time-odd. See [20]
for a more detailed discussion.

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*Jacek Dobaczewski*

*2002-03-15*