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Display information for equation id:math.1325.115 on revision:1325

* Page found: Der Hamiltonsche kanonische Formalismus (eq math.1325.115)

Occurrences on the following pages:

Kanonische Transformationen Eq: math.1957.48

Hash: c60a34dedd7fd9cceedad3658ba98abc

TeX (original user input):

\delta \int\limits_{{{t}_{1}}}^{{{t}_{2}}}{dt}\left\{ \sum\limits_{k=1}^{f}{{}}{{P}_{k}}{{{\dot{Q}}}_{k}}(t)-\bar{H}(\bar{Q},\bar{P},t) \right\}=\int\limits_{{{t}_{1}}}^{{{t}_{2}}}{dt}\left\{ \sum\limits_{k=1}^{f}{\delta }{{P}_{k}}{{{\dot{Q}}}_{k}}(t)+{{P}_{k}}\delta {{{\dot{Q}}}_{k}}(t)-\frac{\partial \bar{H}(\bar{Q},\bar{P},t)}{\partial {{Q}_{k}}}\delta {{Q}_{k}}-\frac{\partial \bar{H}(\bar{Q},\bar{P},t)}{\partial {{P}_{k}}}\delta {{P}_{k}} \right\}

TeX (checked):

\delta \int \limits _{{t}_{1}}^{{t}_{2}}{dt}\left\{\sum \limits _{k=1}^{f}{}{{P}_{k}}{{\dot {Q}}_{k}}(t)-{\bar {H}}({\bar {Q}},{\bar {P}},t)\right\}=\int \limits _{{t}_{1}}^{{t}_{2}}{dt}\left\{\sum \limits _{k=1}^{f}{\delta }{{P}_{k}}{{\dot {Q}}_{k}}(t)+{{P}_{k}}\delta {{\dot {Q}}_{k}}(t)-{\frac {\partial {\bar {H}}({\bar {Q}},{\bar {P}},t)}{\partial {{Q}_{k}}}}\delta {{Q}_{k}}-{\frac {\partial {\bar {H}}({\bar {Q}},{\bar {P}},t)}{\partial {{P}_{k}}}}\delta {{P}_{k}}\right\}

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MathML (4.466 KB / 499 B) :

δ \int_{t_{1}}^{t_{2}} d t {\sum_{k = 1}^{f} P_{k} {\dot{Q}}_{k} (t) - \bar{H} (\bar{Q}, \bar{P}, t)} = \int_{t_{1}}^{t_{2}} d t {\sum_{k = 1}^{f} δ P_{k} {\dot{Q}}_{k} (t) + P_{k} δ {\dot{Q}}_{k} (t) - \frac{\partial \bar{H} (\bar{Q}, \bar{P}, t)}{\partial Q_{k}} δ Q_{k} - \frac{\partial \bar{H} (\bar{Q}, \bar{P}, t)}{\partial P_{k}} δ P_{k}}

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Translation to Mathematica

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Identifiers

$δ$

$t_{1}$

$t_{2}$

$t$

$k$

$f$

$P_{k}$

${\dot{Q}}_{k}$

$t$

$\bar{H}$

$\bar{Q}$

$\bar{P}$

$t$

$t_{1}$

$t_{2}$

$t$

$k$

$f$

$δ$

$P_{k}$

${\dot{Q}}_{k}$

$t$

$P_{k}$

$δ$

${\dot{Q}}_{k}$

$t$

$\bar{H}$

$\bar{Q}$

$\bar{P}$

$t$

$Q_{k}$

$δ$

$Q_{k}$

$\bar{H}$

$\bar{Q}$

$\bar{P}$

$t$

$P_{k}$

$δ$

$P_{k}$

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