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Display information for equation id:math.2681.38 on revision:2681
* Page found: Weitere Eigenschaften der Dirac-Gleichung (eq math.2681.38)
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Hash: 1ca5ec4214f66c442e38b1b45eb6ca2c
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S\left( \beta \right)=\underset{n\to \infty }{\mathop \lim }\,{{\left( \underline{\underline{1}}+\frac{1}{2}\frac{\beta }{N}{{{\underline{\underline{\gamma }}}}^{1}}{{{\underline{\underline{\gamma }}}}^{0}} \right)}^{N}}={{e}^{\frac{\beta }{2}{{{\underline{\underline{\gamma }}}}^{1}}{{{\underline{\underline{\gamma }}}}^{0}}}}
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<math class="mwe-math-element" xmlns="http://www.w3.org/1998/Math/MathML"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>S</mi><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><mi>β</mi><mo data-mjx-texclass="CLOSE">)</mo></mrow><mo>=</mo><mrow data-mjx-texclass="ORD"><munder><mrow data-mjx-texclass="OP"><mi>lim</mi></mrow><mrow data-mjx-texclass="ORD"><mi>n</mi><mo accent="false">→</mo><mi mathvariant="normal">∞</mi></mrow></munder></mrow><mspace width="0.167em"></mspace><msup><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><mrow data-mjx-texclass="ORD"><munder><mrow data-mjx-texclass="ORD"><munder><mn>1</mn><mo>_</mo></munder></mrow><mo>_</mo></munder></mrow><mo>+</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></mfrac></mrow><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mi>β</mi></mrow><mrow data-mjx-texclass="ORD"><mi>N</mi></mrow></mfrac></mrow><msup><mrow data-mjx-texclass="ORD"><munder><mrow data-mjx-texclass="ORD"><munder><mi>γ</mi><mo>_</mo></munder></mrow><mo>_</mo></munder></mrow><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msup><msup><mrow data-mjx-texclass="ORD"><munder><mrow data-mjx-texclass="ORD"><munder><mi>γ</mi><mo>_</mo></munder></mrow><mo>_</mo></munder></mrow><mrow data-mjx-texclass="ORD"><mn>0</mn></mrow></msup><mo data-mjx-texclass="CLOSE">)</mo></mrow><mrow data-mjx-texclass="ORD"><mi>N</mi></mrow></msup><mo>=</mo><msup><mi>e</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mi>β</mi></mrow><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></mfrac></mrow><msup><mrow data-mjx-texclass="ORD"><munder><mrow data-mjx-texclass="ORD"><munder><mi>γ</mi><mo>_</mo></munder></mrow><mo>_</mo></munder></mrow><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msup><msup><mrow data-mjx-texclass="ORD"><munder><mrow data-mjx-texclass="ORD"><munder><mi>γ</mi><mo>_</mo></munder></mrow><mo>_</mo></munder></mrow><mrow data-mjx-texclass="ORD"><mn>0</mn></mrow></msup></mrow></mrow></msup></mstyle></mrow></math>
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