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Display information for equation id:math.2671.16 on revision:2671
* Page found: Die Dirac Gleichung (eq math.2671.16)
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{{\alpha }_{i}}=-\beta {{\alpha }_{i}}{{\beta }^{-1}}\Rightarrow \underbrace{Tr}_{\text{Spur}}\left( {{\alpha }_{i}} \right)=-Tr\left( \beta {{\alpha }_{i}}{{\beta }^{-1}} \right)\underbrace{=}_{\text{zyklische Vertauschung}}-Tr\left( {{\alpha }_{i}} \right)\Rightarrow Tr\left( {{\alpha }_{i}} \right)=0
TeX (checked):
{{\alpha }_{i}}=-\beta {{\alpha }_{i}}{{\beta }^{-1}}\Rightarrow \underbrace {Tr} _{\text{Spur}}\left({{\alpha }_{i}}\right)=-Tr\left(\beta {{\alpha }_{i}}{{\beta }^{-1}}\right)\underbrace {=} _{\text{zyklische Vertauschung}}-Tr\left({{\alpha }_{i}}\right)\Rightarrow Tr\left({{\alpha }_{i}}\right)=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"><msub><mi>α</mi><mrow data-mjx-texclass="ORD"><mi>i</mi></mrow></msub></mstyle><mo>=</mo><mo>−</mo><mi>β</mi><msub><mi>α</mi><mrow data-mjx-texclass="ORD"><mi>i</mi></mrow></msub><msup><mi>β</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mo>−</mo><mn>1</mn></mrow></mrow></msup><mo>⇒</mo><munder><mrow data-mjx-texclass="OP"><munder><mrow data-mjx-texclass="ORD"><mi>T</mi><mi>r</mi></mrow><mo>⏟</mo></munder></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mtext>Spur</mtext></mrow></mrow></munder><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><msub><mi>α</mi><mrow data-mjx-texclass="ORD"><mi>i</mi></mrow></msub><mo data-mjx-texclass="CLOSE">)</mo></mrow><mo>=</mo><mo>−</mo><mi>T</mi><mi>r</mi><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><mi>β</mi><msub><mi>α</mi><mrow data-mjx-texclass="ORD"><mi>i</mi></mrow></msub><msup><mi>β</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mo>−</mo><mn>1</mn></mrow></mrow></msup><mo data-mjx-texclass="CLOSE">)</mo></mrow><munder><mrow data-mjx-texclass="OP"><munder><mo>=</mo><mo>⏟</mo></munder></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mtext>zyklische Vertauschung</mtext></mrow></mrow></munder><mo>−</mo><mi>T</mi><mi>r</mi><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><msub><mi>α</mi><mrow data-mjx-texclass="ORD"><mi>i</mi></mrow></msub><mo data-mjx-texclass="CLOSE">)</mo></mrow><mo>⇒</mo><mi>T</mi><mi>r</mi><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><msub><mi>α</mi><mrow data-mjx-texclass="ORD"><mi>i</mi></mrow></msub><mo data-mjx-texclass="CLOSE">)</mo></mrow><mo>=</mo><mn>0</mn></mrow></math>
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