%  me6.tex         Mechanik ,  Winter 95 / 96 
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\rightline{ {\gr Mechanik} \hskip 2.5cm Hannover , \ Winter 1995 / 96 }  
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\+ & &  \ra{ \ \ 1. \ NEWTONSCHE \z MECHANIK}  &  \cr \med
\+\bu& 1$\, .\, 1\,$) & Bewegungsgleichung : \ Ww-Arten, \anfu id.Feder\anfo, 
     Lor.kraft, Galilei-Tr.  & \cr
\+\bu& 1$\, .\, 2\,$) & Zur Dynamik {\sl eines} Massenpunktes : \ $V$ aus $\vc K$,
      $T+V$ u.~$\vc L$-Erh., Tr.d.Var.  & \cr
\+\bu& 1$\, .\, 3\,$) & Systeme von Massenpunkten : \ inn/\"au\ss\ Kr., wann
     $E$-$\vc P$-$\vc L$-Erh., 
     $\vc L _{\rm des\, S.p.} + \vc L ^\prime$ & \cr
\+ & 1$\, .\, 4\,$) & $V(x)$ aus Schwingungsdauern : \ $T(E) = \ldots \,$ & \cr
\+\bu& 1$\, .\, 5\,$) & Erzwung.~1D Schwi.~m.Reibung : \ Fourier,
            Resp-Fkt., Resonanz & \cr
            \sb{Ein Integral}
\+\bu& 1$\, .\, 6\,$) & Zentralkraftprobleme : \ Rel.-u.Schwer, $\vc v ^2$ 
            in ...-Koord.,  % $\ldots$-Koord., $V_{\rm eff}\,$, 
            $\ph (r) = \!\int$, Virialsatz & \cr
\+ & 1$\, .\, 7\,$) & Kepler : \ $T^2 \sim a^3$, Ellipse, Lenz-Vektor & \cr
\+\bu& 1$\, .\, 8\,$) & Streuquerschnitt : \ $i/j = \sigma = \rho \vert 
            \rho^\prime \vert / \sin(\ta )$, Rutherfords Formel & \cr
\+\cc& 1$\, .\, 9\,$) & St\"o\ss e : \ Klebesto\ss , Zerfall, elastisch auf 
            ruhende Masse  & \cr
\+\cc& 1$\, .\, 10\,$) & Rakete : \ Herleitung der Raketen--Dgl & \cr
\big  %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
\+ & & \ra{ \ \ 2. \ LAGRANGESCHE \z MECHANIK}  & \cr \med
\+\bu& 2$\, .\, 1\,$) & Lagrange--Funktion : \ Pkt.Tr.-Invarianz,
            \leek $L = 0\;$, Bspe., Pendel per $\kappa\to\infty$ & \cr
\+\bu& 2$\, .\, 2\,$) & Bewegungsbeschr\"ankungen : \ $f$, Fahrplan,
                    Doppelpendel & \cr
\+ & 2$\, .\, 3\,$) & Zwangskr\"afte u.a.~Verallgn.$\,$: \ 
       \leek $T = Q\;$, \leek $L = \6 \sum \l F\;$, Nichtholonomes & \cr
\+\bu& 2$\, .\, 4\,$) & $q$ in $\vc E$, $\vc B$ : \ Lagr.Funktion, 
                    Eichinvarianz  & \cr
             \sb{Geladenes Teilchen in E, B}  
\+\bu& 2$\, .\, 5\,$) & Starrer K\"orper : \ $I \vc \o \;$, 
            ${1\02} \vc \o I \vc \o\;$, $L\;$, Steiner, 
            Bew.gln.~des St.K\"o.  & \cr
\+\cc& 2$\, .\, 6\,$) & Die Eulerschen Winkel : \ Def., $L$,
                    sy.~Kreisel  & \cr
            \sb{Euler's Winkel und die SO(3)}  
\+ & 2$\, .\, 7\,$) & Die Eulerschen Gleichungen : \ $d_t (I \vc \o ) =
                     \sum \vc r \times \vc K\,$ f\"ur 
                    $\, ^\prime$-Leute & \cr 
\+ & 2$\, .\, 8\,$) & Beschleunigte Bezugssysteme : \ Bewegungsgl.~der
                    $\, ^\prime$-Leute & \cr
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\+ & & \ra{ \ \ 3. \ WIRKUNG}     & \cr \med
\+\bu& 3$\, .\, 1\,$) & Variation von $S$ : \ $\d S = 0\;$,
                    Lagr.~Multiplikator  & \cr
\+\cc& 3$\, .\, 2\,$) & Noethers Theorem : \ Noether--Ladung $Q\,$, 
                    Bspe. (incl.~allg.~Galilei) & \cr
\+\cc& 3$\, .\, 3\,$) & Mechanische \"Ahnlichkeit : \ $ \ell^\prime = \a \ell 
             \;$ und $\, t^\prime = \b t \;\Rightarrow \ldots $ & \cr
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\+ & & \ra{ \ \ 4. \ RELATIVISTIK}  & \cr \med
\+\bu& 4$\, .\, 1\,$) & Lorentz--Transformation : \ $\Lambda$, 
              $\Lambda_{\rm allg}$, Geschw.-Tr., 4-er $V$, $d\tau$  & \cr
             \sb{Zwillings--Paradoxon} 
\+\bu& 4$\, .\, 2\,$) & Relativistische Mechanik : \ $\vc p$, $\ov{m} (u)$,
                    $p=mV$, $\pvc p = \vc K$, $\6_\tau p = F$,
                    $E=\wu {\phantom{ooo}}$, St\"o\ss e & \cr
\+\bu& 4$\, .\, 3\,$) & Vierer--Formulierung : \ $PQ$-Invarianz, 
                    $\eta\mn\,$, $\Lambda^\mu_{\;\;\nu}\,$, $F\omn\,$,  
                    $\6^\mu$  & \cr
\+\bu& 4$\, .\, 4\,$) & Relativistische Lagrange--Funktion : \ aus Bew.gl.$\,$, 
                    $\;\wu {\phantom{oo}} ( - mc^2 - {q\0c} V^\mu A_\mu )$ 
                    & \cr
\big       %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
\+ & & \ra{ \ \ 5. \ HAMILTONSCHE \z MECHANIK}  & \cr \med
\+\bu& 5$\, .\, 1\,$) & Hamiltonsche Bewegungsgleichungen : \ Legendre-Tr.,
                    modif.~Ham.Prinzip  &  \cr
\+\cc& 5$\, .\, 2\,$) & Kanonische Transformationen : \ Erzeug.Fktn.
                    als \anfu Potentiale\anfo , Arten, Pkt.Trn. & \cr
\+\cc& 5$\, .\, 3\,$) & Hamilton--Jacobi : Separation, Wi.+Wirk.,
                    \"Ubergang zu Q. (WKB) & \cr
\+ & 5$\, .\, 4\,$) & Poisson : Jacobi-Id., Poissons Theorem, 
                    Kanonik-Kriterien & \cr
\+ & 5$\, .\, 5\,$) & Liouville : Vol.-Invarianz, $\6_t \rho = - 
                   \lb H,\rho \rb\;$; Grundgln.~der Hydrodynamik & \cr
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\+ & & \ra{ \ \ 6. \ KLEINE \zz SCHWINGUNGEN}  & \cr \med
\+\bu& 6$\, .\, 1\,$) & Normalkoordinaten : \ $L_0\;$, $\;\wu M \vc \eta (t) =
                    \sum_j Q_j (t) \vc f_{\!\!j} $ &  \cr
\+\cc& 6$\, .\, 2\,$) & Molek\"ulschwingungen : aniso Pot., lineares $ABA$, 
                    Sorten Schwi-Fr.gr. & \cr
\+\cc& 6$\, .\, 3\,$) & Lineare Kette : Fourier-Ansatz, Brillouin, 
                    long.~Phonon-Spektrum & \cr
\+ & 6$\, .\, 4\,$) & Anharmonische Schwingungen & \cr

\nz {\fiverm ( hschulz@itp.uni-hannover.de ) }
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