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Display information for equation id:math.1325.55 on revision:1325
* Page found: Der Hamiltonsche kanonische Formalismus (eq math.1325.55)
(force rerendering)Occurrences on the following pages:
Hash: 0c8a30700e95e3045650bdad166c0467
TeX (original user input):
{{\dot{p}}_{r}}=-\frac{\partial H}{\partial r}=\frac{{{p}_{\phi }}^{2}}{m{{r}^{3}}}-\frac{\partial V}{\partial r},{{\dot{p}}_{\phi }}=0,{{\dot{p}}_{z}}=0
TeX (checked):
{{\dot {p}}_{r}}=-{\frac {\partial H}{\partial r}}={\frac {{{p}_{\phi }}^{2}}{m{{r}^{3}}}}-{\frac {\partial V}{\partial r}},{{\dot {p}}_{\phi }}=0,{{\dot {p}}_{z}}=0
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MathML (1.65 KB / 323 B) :

<math class="mwe-math-element" xmlns="http://www.w3.org/1998/Math/MathML"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mover><mi>p</mi><mo>˙</mo></mover></mrow></mrow><mrow data-mjx-texclass="ORD"><mi>r</mi></mrow></msub></mstyle><mo>=</mo><mo>−</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>∂</mi><mi>H</mi></mrow></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>∂</mi><mi>r</mi></mrow></mrow></mfrac></mrow><mo>=</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><msup><msub><mi>p</mi><mrow data-mjx-texclass="ORD"><mi>ϕ</mi></mrow></msub><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msup></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>m</mi><msup><mi>r</mi><mrow data-mjx-texclass="ORD"><mn>3</mn></mrow></msup></mrow></mrow></mfrac></mrow><mo>−</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>∂</mi><mi>V</mi></mrow></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>∂</mi><mi>r</mi></mrow></mrow></mfrac></mrow><mo>,</mo><msub><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mover><mi>p</mi><mo>˙</mo></mover></mrow></mrow><mrow data-mjx-texclass="ORD"><mi>ϕ</mi></mrow></msub><mo>=</mo><mn>0</mn><mo>,</mo><msub><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mover><mi>p</mi><mo>˙</mo></mover></mrow></mrow><mrow data-mjx-texclass="ORD"><mi>z</mi></mrow></msub><mo>=</mo><mn>0</mn></mrow></math>
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