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Display information for equation id:math.2711.151 on revision:2711
* Page found: Formaler Aufbau der Quantenmechanik (eq math.2711.151)
(force rerendering)Occurrences on the following pages:
Hash: 48cb73aea25340857ba377c4d8027ce9
TeX (original user input):
\begin{align}
& {{B}_{z}}={{B}_{0}}=\text{const} \\
& {{B}_{||}}={{B}_{1}}{{e}^{\mathfrak{i} \omega t}}=\underbrace{{{B}_{1}}\cos \omega t}_{{{B}_{x}}}+\mathfrak{i} \underbrace{{{B}_{1}}\sin \omega t}_{{{B}_{y}}}\quad {{B}_{1}}\in \mathbb{R} \\
\end{align}
TeX (checked):
{\begin{aligned}&{{B}_{z}}={{B}_{0}}={\text{const}}\\&{{B}_{||}}={{B}_{1}}{{e}^{{\mathfrak {i}}\omega t}}=\underbrace {{{B}_{1}}\cos \omega t} _{{B}_{x}}+{\mathfrak {i}}\underbrace {{{B}_{1}}\sin \omega t} _{{B}_{y}}\quad {{B}_{1}}\in \mathbb {R} \\\end{aligned}}
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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"><mrow data-mjx-texclass="ORD"><mtable columnalign="right left right left right left right left right left right left" columnspacing="0em 2em 0em 2em 0em 2em 0em 2em 0em 2em 0em" displaystyle="true" rowspacing="3pt"><mtr><mtd></mtd><mtd><msub><mi>B</mi><mrow data-mjx-texclass="ORD"><mi>z</mi></mrow></msub><mo>=</mo><msub><mi>B</mi><mrow data-mjx-texclass="ORD"><mn>0</mn></mrow></msub><mo>=</mo><mrow data-mjx-texclass="ORD"><mtext>const</mtext></mrow></mtd></mtr><mtr><mtd></mtd><mtd><msub><mi>B</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mo>|</mo><mo>|</mo></mrow></mrow></msub><mo>=</mo><msub><mi>B</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub><msup><mi>e</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi mathvariant="fraktur">i</mi></mrow></mrow><mi>ω</mi><mi>t</mi></mrow></mrow></msup><mo>=</mo><munder><mrow data-mjx-texclass="OP"><munder><mrow data-mjx-texclass="ORD"><msub><mi>B</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub><mi>cos</mi><mo>⁡</mo><mi>ω</mi><mi>t</mi></mrow><mo>⏟</mo></munder></mrow><mrow data-mjx-texclass="ORD"><msub><mi>B</mi><mrow data-mjx-texclass="ORD"><mi>x</mi></mrow></msub></mrow></munder><mo>+</mo><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi mathvariant="fraktur">i</mi></mrow></mrow><munder><mrow data-mjx-texclass="OP"><munder><mrow data-mjx-texclass="ORD"><msub><mi>B</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub><mi>sin</mi><mo>⁡</mo><mi>ω</mi><mi>t</mi></mrow><mo>⏟</mo></munder></mrow><mrow data-mjx-texclass="ORD"><msub><mi>B</mi><mrow data-mjx-texclass="ORD"><mi>y</mi></mrow></msub></mrow></munder><mspace width="1em"></mspace><msub><mi>B</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub><mo>∈</mo><mrow data-mjx-texclass="ORD"><mi mathvariant="double-struck">ℝ</mi></mrow></mtd></mtr><mtr><mtd></mtd></mtr></mtable></mrow></mstyle></mrow></math>
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