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Display information for equation id:math.1965.3 on revision:1965

* Page found: Symplektische Struktur des Phasenraums (eq math.1965.3)

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Hash: 58bd5995ab75b870765ed83743094741

TeX (original user input):

\dot{\bar{x}}:=J{{H}_{,x}}\Leftrightarrow -J\dot{\bar{x}}={{H}_{,x}}\Leftrightarrow \dot{q}=\frac{\partial H}{\partial p},\dot{p}=-\frac{\partial H}{\partial q}

TeX (checked):

{\dot {\bar {x}}}:=J{{H}_{,x}}\Leftrightarrow -J{\dot {\bar {x}}}={{H}_{,x}}\Leftrightarrow {\dot {q}}={\frac {\partial H}{\partial p}},{\dot {p}}=-{\frac {\partial H}{\partial q}}

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MathML (1.661 KB / 305 B) :

x¯˙:=JH,xJx¯˙=H,xq˙=Hp,p˙=Hq
<math class="mwe-math-element" xmlns="http://www.w3.org/1998/Math/MathML"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mover><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mover><mi>x</mi><mo>¯</mo></mover></mrow></mrow><mo>˙</mo></mover></mrow></mrow><mi>:</mi><mo>=</mo><mi>J</mi><msub><mi>H</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mo>,</mo><mi>x</mi></mrow></mrow></msub><mo>&#x21D4;</mo><mo>&#x2212;</mo><mi>J</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mover><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mover><mi>x</mi><mo>¯</mo></mover></mrow></mrow><mo>˙</mo></mover></mrow></mrow><mo>=</mo><msub><mi>H</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mo>,</mo><mi>x</mi></mrow></mrow></msub><mo>&#x21D4;</mo><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mover><mi>q</mi><mo>˙</mo></mover></mrow></mrow><mo>=</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>&#x2202;</mi><mi>H</mi></mrow></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>&#x2202;</mi><mi>p</mi></mrow></mrow></mfrac></mrow><mo>,</mo><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mover><mi>p</mi><mo>˙</mo></mover></mrow></mrow><mo>=</mo><mo>&#x2212;</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>&#x2202;</mi><mi>H</mi></mrow></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>&#x2202;</mi><mi>q</mi></mrow></mrow></mfrac></mrow></mstyle></mrow></math>

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Identifiers

  • x¯˙
  • J
  • H,x
  • J
  • x¯˙
  • H,x
  • q˙
  • H
  • p
  • p˙
  • H
  • q

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