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<table border="0" cellpadding="3" cellspacing="1" width="100%" class="forumline"> <tr> <th class="thCornerL" width="22%" height="26">Autor</th> <th class="thCornerR">Nachricht</th> </tr> <tr> <td width="22%" align="left" valign="top" class="row1"><span class="name"><a name=""></a><b>Rmn</b></span></td> <td class="row1" height="28" valign="top"><table width="95%" border="0" cellspacing="0" cellpadding="0"> <tr> <td width="95%"><img src="templates/subSilver/images/icon_minipost.gif" width="12" height="9" alt="Beitrag" title="Beitrag" border="0" /><span class="postdetails">Verfasst am: 07. Okt 2012 22:58<span class="gen"> </span> Titel: </span></td> </tr> <tr> <td colspan="2"><hr /></td> </tr> <tr> <td colspan="2"><span class="postbody">ja</span></td> </tr> </table></td> </tr> <tr> <td colspan="2" height="1" class="spaceRow"><img src="templates/subSilver/images/spacer.gif" alt="" width="1" height="1" /></td> </tr> <tr> <td width="22%" align="left" valign="top" class="row2"><span class="name"><a name=""></a><b>Leochen</b></span></td> <td class="row2" height="28" valign="top"><table width="95%" border="0" cellspacing="0" cellpadding="0"> <tr> <td width="95%"><img src="templates/subSilver/images/icon_minipost.gif" width="12" height="9" alt="Beitrag" title="Beitrag" border="0" /><span class="postdetails">Verfasst am: 07. Okt 2012 22:52<span class="gen"> </span> Titel: </span></td> </tr> <tr> <td colspan="2"><hr /></td> </tr> <tr> <td colspan="2"><span class="postbody">Natürlich <img src="images/smiles/biglaugh.gif" alt="Big Laugh" border="0" /> bin schon etwas verwirrt. <br /> <br />Analog wäre dann für V=c/r die Lösung <img class="latex2png" src="https://www.matheboard.de/latex2png/latex2png.php?\vec{F} =\frac{c\cdot \vec{r} }{r^{3}} "> <br />Oder sehe ich das völlig falsch? <br />Vielen dank jedenfalls für die hilfe!</span></td> </tr> </table></td> </tr> <tr> <td colspan="2" height="1" class="spaceRow"><img src="templates/subSilver/images/spacer.gif" alt="" width="1" height="1" /></td> </tr> <tr> <td width="22%" align="left" valign="top" class="row1"><span class="name"><a name=""></a><b>Rmn</b></span></td> <td class="row1" height="28" valign="top"><table width="95%" border="0" cellspacing="0" cellpadding="0"> <tr> <td width="95%"><img src="templates/subSilver/images/icon_minipost.gif" width="12" height="9" alt="Beitrag" title="Beitrag" border="0" /><span class="postdetails">Verfasst am: 07. Okt 2012 22:41<span class="gen"> </span> Titel: </span></td> </tr> <tr> <td colspan="2"><hr /></td> </tr> <tr> <td colspan="2"><span class="postbody"></span><table width="90%" cellspacing="1" cellpadding="3" border="0" align="center"><tr> <td><span class="genmed"><b>Zitat:</b></span></td> </tr> <tr> <td class="quote">Wäre das dann: <img class="latex2png" src="https://www.matheboard.de/latex2png/latex2png.php?=-(xkr\cdot \begin{pmatrix}1\\ 0 \\ 0\end{pmatrix} +ykr\cdot \begin{pmatrix} 0 \\ 1 \\ 0 \end{pmatrix} +zkr\cdot \begin{pmatrix} 0\\ 0 \\ 1 \end{pmatrix} )"></td> </tr></table><span class="postbody"> <br />ohne r <br /><img class="latex2png" src="https://www.matheboard.de/latex2png/latex2png.php?-(xk\begin{pmatrix}1\\ 0 \\ 0\end{pmatrix} +yk\begin{pmatrix} 0 \\ 1 \\ 0 \end{pmatrix} +zk \begin{pmatrix} 0\\ 0 \\ 1 \end{pmatrix} )"> <br />dann aber zusammenfassen: <br /><img class="latex2png" src="https://www.matheboard.de/latex2png/latex2png.php?-(k\begin{pmatrix}x\\ 0 \\ 0\end{pmatrix} +k\begin{pmatrix} 0 \\ y \\ 0 \end{pmatrix} +k \begin{pmatrix} 0\\ 0 \\ z \end{pmatrix} )=-k\begin{pmatrix}x\\ y \\ z\end{pmatrix} = -k\vec r"></span></td> </tr> </table></td> </tr> <tr> <td colspan="2" height="1" class="spaceRow"><img src="templates/subSilver/images/spacer.gif" alt="" width="1" height="1" /></td> </tr> <tr> <td width="22%" align="left" valign="top" class="row2"><span class="name"><a name=""></a><b>Leochen</b></span></td> <td class="row2" height="28" valign="top"><table width="95%" border="0" cellspacing="0" cellpadding="0"> <tr> <td width="95%"><img src="templates/subSilver/images/icon_minipost.gif" width="12" height="9" alt="Beitrag" title="Beitrag" border="0" /><span class="postdetails">Verfasst am: 07. Okt 2012 22:22<span class="gen"> </span> Titel: </span></td> </tr> <tr> <td colspan="2"><hr /></td> </tr> <tr> <td colspan="2"><span class="postbody">sie^^ <br />Ja da hab ich ein leerzeichen ausgelassen, sorry. <br /> <br />Wäre das dann: <img class="latex2png" src="https://www.matheboard.de/latex2png/latex2png.php?=-(xkr\cdot \begin{pmatrix}1\\ 0 \\ 0\end{pmatrix} +ykr\cdot \begin{pmatrix} 0 \\ 1 \\ 0 \end{pmatrix} +zkr\cdot \begin{pmatrix} 0\\ 0 \\ 1 \end{pmatrix} )"> oder mach ich da (so wies mir vorkommt) gröberen blödsinn?</span></td> </tr> </table></td> </tr> <tr> <td colspan="2" height="1" class="spaceRow"><img src="templates/subSilver/images/spacer.gif" alt="" width="1" height="1" /></td> </tr> <tr> <td width="22%" align="left" valign="top" class="row1"><span class="name"><a name=""></a><b>Rmn</b></span></td> <td class="row1" height="28" valign="top"><table width="95%" border="0" cellspacing="0" cellpadding="0"> <tr> <td width="95%"><img src="templates/subSilver/images/icon_minipost.gif" width="12" height="9" alt="Beitrag" title="Beitrag" border="0" /><span class="postdetails">Verfasst am: 07. Okt 2012 22:07<span class="gen"> </span> Titel: </span></td> </tr> <tr> <td colspan="2"><hr /></td> </tr> <tr> <td colspan="2"><span class="postbody">V ist beim harmonischen Potential nicht konstant, er hat es nur missverständlich geschrieben. Was er meint ist: <br /><img class="latex2png" src="https://www.matheboard.de/latex2png/latex2png.php?V=\frac{kr^2}{2} <br />r^2=x^2+y^2+z^2"></span></td> </tr> </table></td> </tr> <tr> <td colspan="2" height="1" class="spaceRow"><img src="templates/subSilver/images/spacer.gif" alt="" width="1" height="1" /></td> </tr> <tr> <td width="22%" align="left" valign="top" class="row2"><span class="name"><a name=""></a><b>kingcools</b></span></td> <td class="row2" height="28" valign="top"><table width="95%" border="0" cellspacing="0" cellpadding="0"> <tr> <td width="95%"><img src="templates/subSilver/images/icon_minipost.gif" width="12" height="9" alt="Beitrag" title="Beitrag" border="0" /><span class="postdetails">Verfasst am: 07. Okt 2012 21:59<span class="gen"> </span> Titel: </span></td> </tr> <tr> <td colspan="2"><hr /></td> </tr> <tr> <td colspan="2"><span class="postbody">So wie ich das lese ist V jedoch = const, daher F = 0.</span></td> </tr> </table></td> </tr> <tr> <td colspan="2" height="1" class="spaceRow"><img src="templates/subSilver/images/spacer.gif" alt="" width="1" height="1" /></td> </tr> <tr> <td width="22%" align="left" valign="top" class="row1"><span class="name"><a name=""></a><b>Rmn</b></span></td> <td class="row1" height="28" valign="top"><table width="95%" border="0" cellspacing="0" cellpadding="0"> <tr> <td width="95%"><img src="templates/subSilver/images/icon_minipost.gif" width="12" height="9" alt="Beitrag" title="Beitrag" border="0" /><span class="postdetails">Verfasst am: 07. Okt 2012 21:55<span class="gen"> </span> Titel: </span></td> </tr> <tr> <td colspan="2"><hr /></td> </tr> <tr> <td colspan="2"><span class="postbody">jo</span></td> </tr> </table></td> </tr> <tr> <td colspan="2" height="1" class="spaceRow"><img src="templates/subSilver/images/spacer.gif" alt="" width="1" height="1" /></td> </tr> <tr> <td width="22%" align="left" valign="top" class="row2"><span class="name"><a name=""></a><b>Leochen</b></span></td> <td class="row2" height="28" valign="top"><table width="95%" border="0" cellspacing="0" cellpadding="0"> <tr> <td width="95%"><img src="templates/subSilver/images/icon_minipost.gif" width="12" height="9" alt="Beitrag" title="Beitrag" border="0" /><span class="postdetails">Verfasst am: 07. Okt 2012 20:58<span class="gen"> </span> Titel: Potential</span></td> </tr> <tr> <td colspan="2"><hr /></td> </tr> <tr> <td colspan="2"><span class="postbody"><span style="font-weight: bold">Meine Frage:</span><br />Ich soll aus dem Oszillatorenpotential <img class="latex2png" src="https://www.matheboard.de/latex2png/latex2png.php? V(x,y,z)=kr^{2}/2 "> <img class="latex2png" src="https://www.matheboard.de/latex2png/latex2png.php? r^{2}=x^{2}+y^{2}+z^{2} "> über <img class="latex2png" src="https://www.matheboard.de/latex2png/latex2png.php?\vec{F} =-gradV "> die Kraft berechnen (muss logischer weiße konservativ sein).<br /><br /><br /><span style="font-weight: bold">Meine Ideen:</span><br /><img class="latex2png" src="https://www.matheboard.de/latex2png/latex2png.php?grad=\frac{\partial }{\partial x} \vec{e_{x} } +\frac{\partial }{\partial y} \vec{e_{y} }+\frac{\partial }{\partial z}\vec{e_{z} }"> dem nach <img class="latex2png" src="https://www.matheboard.de/latex2png/latex2png.php?-gradV=-(\frac{\partial V }{\partial x} \vec{e_{x} } +\frac{\partial V }{\partial y} \vec{e_{y} }+\frac{\partial V }{\partial z} \vec{e_{z} })"><br />Kann ich jetzt V einsetzen und dann jeweils nach dx dy dz ableiten?</span></td> </tr> </table></td> </tr> <tr> <td colspan="2" height="1" class="spaceRow"><img src="templates/subSilver/images/spacer.gif" alt="" width="1" height="1" /></td> </tr> </table>
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