%  ft9.tex     DIE NEUE  Q II als Theorie IV   SS 1999

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\rl{ \hfill {\gr Quantentheorie II} \hfill Hannover , \ Sommer 1999}  
\nz \hskip 2.3cm Die neue vierte Theorie--Kursvorlesung 
    \hfill {\fiverm  hschulz@itp.uni-hannover.de}    
\vskip .2cm
\settabs\+ 111 11 & hhhh hhhhhhhhh huhu & hhhhhhhhhhhhhh 
           ffffff keine Gleichungen abert &   SB \cr
\+ & &  & {\kl Sonderblatt} \cr
\vskip -.2cm
      %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
\+         & \ra{ \ \ 1. \ R\"UCKBLICK AUF DIE QM. }  
           &  \cr \med
\+ 1 \pt 1 & 
Die Zeit davor  \[ $L$, $H$ f. $q$ in $\vc E, 
         \vc B$, Max, Green, $F^{\mu\nu}$ \]     
           &  \cr
\+ 1 \pt 2 & 
Ein Weg in die Qm.   \[ a la PB Kap.16 \] 
           & {\kl Grundlagen}  \cr
\+ 1 \pt 3 & 
Operatoren  \[ und wie man an Linie bindet \]
           & \cr 
\+ 1 \pt 4 & 
Theoreme   \[ ... , Ehrenfest \]  
           & \cr
\+ 1 \pt 5 & 
Repertoire  \[ Malen, Ring, allg.har.Molek\"ul, $V_{\rm eff}$,
               $\s$, Spin \]   
           & {\kl Wegverbiegung} \cr
\+ 1 \pt 6 & 
Zeitabh. St\"orungsr.   \[ Ww-bild und Fermi golden \]   
           &  \cr        
\+ 1 \pt 7 & 
Mehr--El.--Probleme \[ {\kmf nur Aufz\"ahlg.: VdW, He, 
                       H$_2$, W.Zwerg, HF, B-Opp.} \]  
           &   \cr
\big  %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
\+         & \ra{ \ \ 2. \ SPEZIELLE THEMEN }  
           & \cr \med
\+ 2 \pt 1 & 
Ladung in $\vc E$ \[ exakte L\"osung des Anf.wertproblems \] 
           & \cr
\+ 2 \pt 2 & 
Bloch  \[ 's Theorem, Bandl\"ucken--Entstehung \]    
           & \cr
\+ 2 \pt 3 & 
WKB   \[ H.-Jacobi, ... , Anschl\"usse, L\"osb.bed. \]
           &  / $\,P(\ta )$, {\kl Wider}  \cr
\+ 2 \pt 4 & 
Bell  \[ Stern--Gerlach, EPR, Bells Ungl.u.limit \]    
           & {\kl die Messung} \cr
\+ 2 \pt 5 & 
Eichinvarianz  \[ der Qm., Prinzip der, Aharonov--Bohm \]    
           & \cr
\big  %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
\+         & \ra{ \ \ 3. \ FELDOPERATOR}   
           & \cr \med
\+ 3 \pt 1 & 
Identische Fermionen \[ Pauli, Slater, Zust\"ande--Diagramm \]
           & \cr
\+ 3 \pt 2 & 
Besetzungszahldarst. \[ f\"ur Fermionen, Darst.wechsel, 
                        Feldoperator \]  
           & \ \ \under{{\kl B 1}}, \under{{\kl B 2}}\cr
\+ 3 \pt 3 & 
Q.~d.~Strahlungsfeldes \[ $\sum$ Oszill., laufende Photonen, 
                $a^\dagger a$ \]
           &  \cr
\+ 3 \pt 4 & 
Spontane Emission  \[ und induzierte \]
           & \cr
\big  %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
\+         & \ra{ \ \ 4. \ DIRAC--GLEICHUNG}  
           & \cr \med
\+ 4 \pt 1 & 
Wiederh. Relativistik \[ ... und $\L$ f\"ur boost in $\vc e$ \]    
           & \cr
\+ 4 \pt 2 & 
\anfu Herleitung\anfo \[ aus 5 Forderungen  \]   
           & $(iD\hskip -.25cm /\! -\!m)\psi\!=\!0$ \cr
\+ 4 \pt 3 & 
Spektrum der freien \[ ... , Teilchentabelle \] 
           & \cr
\+ 4 \pt 4 & 
Dirac mit Feld  \[ und Gln. f\"ur obere/untere  \]   
           &  \cr \vskip -.06cm
\+ 4 \pt 5 & 
$c\to \infty$ \[ Pauli--Gl., \ \S~4.6) $\vc L\!\vc S
                $--Kopplg.~s.~\"U.~23, 24 \]   
           & \cr  
\+ 4 \pt 7 & 
Spinor--Transformation \[ boost und Dreh., L, R \]    
           & \cr
\+ 4 \pt 8 & 
$ u$, $v$ (freie L\"osungen) \[ per Lorentz--boost \]  
           & {\kl u, v und Heide} \cr
\+ 4 \pt 9 & 
Fermion--Feldoperator \[ Normalordnung und 
             $\hat{H},\,\hat{p},\,\hat{Q}$ \]    
           & \cr
\big  %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
\+         & \ra{ \ \ 5. \ LAGRANGE--DICHTEN}  
           & \cr \med
\+ 5 \pt 1 & 
$\cl L$ \[ zu Max, Dirac und QED \] 
           & {\kl Lagrangians } \cr
\+ 5 \pt 2 & 
QFT--\anfu Rezept\anfo   \[ und Noether \]   
           & \cr
\+ 5 \pt 3 & 
Dirac per Rezept    \[ und $j^\mu$ \]              
           & \cr
\+ 5 \pt 4 & 
E.m.~Feld per Rezept \[ Eichfixierung, Gupta \]      
           & \cr
\+ 5 \pt 5 & 
QED  \[ im Ww.-Bild~: die H's \]
           & \cr
\big  %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
\+         & \ra{ \ \ 6. \ DIAGRAMME}  
           & \cr \med
\+ 6 \pt 1 & 
S--Matrix   \[ $U$, ein Streuvorgang \] 
           & \cr
\+ 6 \pt 2 & 
Voller Propagator \[ ausgedr\"uckt durch Ww.--Operatoren \]  
           & \cr
\+ 6 \pt 3 & 
Nackte Propagatoren \[ Fermion, Photon, deren Linien \]  
           & \cr
\+ 6 \pt 4 & 
Wick       \[ ohne und mit $\cl T$, : \ :  \]
           & {\kl Wicks Theorem}\cr
\+ 6 \pt 5 & 
Wolken--K\"urzung  \[ Ortsraum--Regel, ... \]   
           & \cr
\+ 6 \pt 6 & 
Regeln       \[ im Impulsraum f\"ur QED \]
           & \cr
\+ 6 \pt 7 & 
Selbstenergie  \[ Warum voll--G--Pole u.~Photon ohne Masse~? \]
           & \cr
\+ 6 \pt 8 & 
\"Au\ss eres Feld \[ Diagramme mit Kreuzchen \]    
           & \cr
\big  %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
\+         & \ra{ \ \ 7. \ RENORMIERUNG}  
           & \cr \med
\+ 7 \pt 1 & 
1--loop--Divergenzen \[ in self-energies and vertex \]  
           & \cr
\+ 7 \pt 2 & 
$Z$--Faktoren \[ der QED und Zauberm\"archen \]  
           & \cr
\big  %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
\+         & \ra{ \ \ 8. \ Q C D }  
           &  \cr \med
\+ 8 \pt 1 & 
SU(3)    \[ colours, nicht--abel. Eichinvarianz \]  
           & {\kl SU(N) } \cr
\+ 8 \pt 2 & 
Gluonen    \[ deren $F\omn$ und $-F^2/4$  \]
           & {\kl QCD auf DinA7} \cr
\end