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Display information for equation id:math.1995.34 on revision:1995

* Page found: Wirkungs- und Winkelvariable (eq math.1995.34)

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\begin{align}
  & I(E)=\oint{pdq}=2m\omega \int\limits_{{{q}_{-}}}^{{{q}_{+}}}{{}}\sqrt{\frac{2E}{m{{\omega }^{2}}}-{{q}^{2}}}dq \\
 & I(E)=2m\omega \left[ \frac{q}{2}\sqrt{\frac{2E}{m{{\omega }^{2}}}-{{q}^{2}}}+\frac{E}{m{{\omega }^{2}}}\arcsin \frac{q}{\sqrt{\frac{2E}{m{{\omega }^{2}}}}} \right]_{q+}^{q-}=\frac{2\pi }{\omega }E \\
\end{align}

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I ⁢ ( E ) = ∮ p ⁢ 𝑑 q = 2 ⁢ m ⁢ ω ⁢ ∫ q - q + 2 ⁢ E m ⁢ ω 2 - q 2 ⁢ 𝑑 q I ⁢ ( E ) = 2 ⁢ m ⁢ ω ⁢ [ q 2 ⁢ 2 ⁢ E m ⁢ ω 2 - q 2 + E m ⁢ ω 2 ⁢ arcsin ⁡ q 2 ⁢ E m ⁢ ω 2 ] q + q - = 2 ⁢ π ω ⁢ E missing-subexpression 𝐼 𝐸 contour-integral 𝑝 differential-d 𝑞 2 𝑚 𝜔 superscript subscript subscript 𝑞 subscript 𝑞 2 𝐸 𝑚 superscript 𝜔 2 superscript 𝑞 2 differential-d 𝑞 missing-subexpression 𝐼 𝐸 2 𝑚 𝜔 superscript subscript delimited-[] 𝑞 2 2 𝐸 𝑚 superscript 𝜔 2 superscript 𝑞 2 𝐸 𝑚 superscript 𝜔 2 𝑞 2 𝐸 𝑚 superscript 𝜔 2 limit-from 𝑞 limit-from 𝑞 2 𝜋 𝜔 𝐸 {\displaystyle{\displaystyle\begin{aligned} &\displaystyle I(E)=\oint{pdq}=2m% \omega\int\limits_{{{q}_{-}}}^{{{q}_{+}}}{{}}\sqrt{\frac{2E}{m{{\omega}^{2}}}-% {{q}^{2}}}dq\\ &\displaystyle I(E)=2m\omega\left[\frac{q}{2}\sqrt{\frac{2E}{m{{\omega}^{2}}}-% {{q}^{2}}}+\frac{E}{m{{\omega}^{2}}}\arcsin\frac{q}{\sqrt{\frac{2E}{m{{\omega}% ^{2}}}}}\right]_{q+}^{q-}=\frac{2\pi}{\omega}E\\ \end{aligned}}}

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I(E)=∮pdq=2mω∫q−q+2Emω2−q2dqI(E)=2mω[q22Emω2−q2+Emω2arcsin⁡q2Emω2]q+q−=2πωE

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