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Display information for equation id:math.1750.29 on revision:1750
* Page found: Zeitunabhängige Störungsrechnung bei Entartung (eq math.1750.29)
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Hash: 92a7261c3779272ed2b1e3129c27715c
TeX (original user input):
E={{E}^{(0)}}+\varepsilon {{E}_{k}}^{(1)}={{E}^{(0)}}+\frac{\varepsilon }{2}\left[ \left( {{{\hat{V}}}_{11}}+{{{\hat{V}}}_{22}} \right)\pm \sqrt{{{\left( {{{\hat{V}}}_{11}}-{{{\hat{V}}}_{22}} \right)}^{2}}+4{{\left| {{{\hat{V}}}_{12}} \right|}^{2}}} \right]
TeX (checked):
E={{E}^{(0)}}+\varepsilon {{E}_{k}}^{(1)}={{E}^{(0)}}+{\frac {\varepsilon }{2}}\left[\left({{\hat {V}}_{11}}+{{\hat {V}}_{22}}\right)\pm {\sqrt {{{\left({{\hat {V}}_{11}}-{{\hat {V}}_{22}}\right)}^{2}}+4{{\left|{{\hat {V}}_{12}}\right|}^{2}}}}\right]
LaTeXML (experimentell; verwendet MathML) rendering
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MathML (experimentell; keine Bilder) rendering
MathML (2.663 KB / 421 B) :
<math class="mwe-math-element" xmlns="http://www.w3.org/1998/Math/MathML"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>E</mi><mo>=</mo><msup><mi>E</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mo stretchy="false">(</mo><mn>0</mn><mo stretchy="false">)</mo></mrow></mrow></msup><mo>+</mo><mi>ε</mi><msup><msub><mi>E</mi><mrow data-mjx-texclass="ORD"><mi>k</mi></mrow></msub><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mo stretchy="false">(</mo><mn>1</mn><mo stretchy="false">)</mo></mrow></mrow></msup><mo>=</mo><msup><mi>E</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mo stretchy="false">(</mo><mn>0</mn><mo stretchy="false">)</mo></mrow></mrow></msup><mo>+</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mi>ε</mi></mrow><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></mfrac></mrow><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">[</mo><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><msub><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mover><mi>V</mi><mo>^</mo></mover></mrow></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mn>1</mn><mn>1</mn></mrow></mrow></msub><mo>+</mo><msub><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mover><mi>V</mi><mo>^</mo></mover></mrow></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mn>2</mn><mn>2</mn></mrow></mrow></msub><mo data-mjx-texclass="CLOSE">)</mo></mrow><mo>±</mo><mrow data-mjx-texclass="ORD"><msqrt><mrow data-mjx-texclass="ORD"><msup><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><msub><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mover><mi>V</mi><mo>^</mo></mover></mrow></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mn>1</mn><mn>1</mn></mrow></mrow></msub><mo>−</mo><msub><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mover><mi>V</mi><mo>^</mo></mover></mrow></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mn>2</mn><mn>2</mn></mrow></mrow></msub><mo data-mjx-texclass="CLOSE">)</mo></mrow><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msup><mo>+</mo><mn>4</mn><msup><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">|</mo><msub><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mover><mi>V</mi><mo>^</mo></mover></mrow></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mn>1</mn><mn>2</mn></mrow></mrow></msub><mo data-mjx-texclass="CLOSE">|</mo></mrow><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msup></mrow></msqrt></mrow><mo data-mjx-texclass="CLOSE">]</mo></mrow></mstyle></mrow></math>
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