Next: Intrinsic average particle number
Up: Skyrme HFB+VAPNP procedure: practical
Previous: Two kinds of nucleons
The canonical-basis single-particle wave functions,
![$\displaystyle \chi_{\mu}({\bm r},\sigma )= \sum_{n} W_{n\mu}~ \psi_{n}({\bm r},\sigma),$](img243.png) |
(75) |
are defined by the unitary matrix
which diagonalizes the density matrices,
![\begin{displaymath}\begin{array}{llr} {\sum\limits_{n'} {\rho _{nn'} W_{n'\mu } ...
...{\rho}_{nn'} W_{n'\mu} & = & u_\mu v_\mu W_{n\mu }, \end{array}\end{displaymath}](img245.png) |
(76) |
where
are the occupation probabilities
and
.
In the canonical representation, the gauge-angle-dependent matrices become
diagonal with the diagonal matrix elements given by:
and the determinant of matrix
, needed in
Eq. (40), becomes a product of the diagonal values (77).
The use of the canonical representation significantly
simplifies calculations of the projected fields.
Jacek Dobaczewski
2006-10-13