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## Dirac bracket notation

**From**: |
Olaf Rogalsky |

**Subject**: |
Dirac bracket notation |

**Date**: |
Fri, 08 Dec 2000 19:25:30 +0100 |

Physisist have a spetial notation for vectors and scalar products,
which is named after the famous physisist Paul Dirac (see subject):
< ae1 | ae2 | ae3 >,
where ae1-ae3 are arbitrary expressions and the angles to the left and
right *should* have the same height and baseline as the vertical bars
and cover all three expressions. The following code snipped is one of my
many tries to work things out:
@SysInclude{eq}
@CND @Eq {
@VContract {
@VCover langle
psi
@VCover bar
1 over { H - E }
@VCover bar
psi
@VCover rangle
}
}
Unfortunately the right angle gets bigger than the left one and the
vertical bars are not centered vertically. The problem seems to be
in the way @VCover scales the glyphs. In the adobe symbol font the
vertical size and the center of the bar glyph differs from the size
and center of the angleleft/angleright glyphs. Lout gets confused about
this and scales the righter glyphs more than the lefter ones, presumedly
to cover them.
The same example with the teq package works well: The vertical bar and
the angle glyphs in the computer modern fonts have the same height.
Olaf Rogalsky
\\|//
(. .)
+-----------------------------oOOo-(_)-oOOo----------------------------+
I Dipl. Phys. Olaf Rogalsky Institut f. Theo. Physik I I
I Tel.: 09131 8528440 Univ. Erlangen-Nuernberg I
I Fax.: 09131 8528444 Staudtstrasse 7 B3 I
I address@hidden D-91058 Erlangen I
+----------------------------------------------------------------------+

**Dirac bracket notation**,
*Olaf Rogalsky* **<=**