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Display information for equation id:math.2606.22 on revision:2606
* Page found: Prüfungsfragen:Quantenmechanik (eq math.2606.22)
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Hash: bf48070c2fb8109b1400e987a0920dd6
TeX (original user input):
\left[ \frac{1}{c^2} \frac{\partial^2}{\partial t^2} - \mathbf{\nabla}^2 + \frac{m^2 c^2}{\hbar^2} \right] \phi(t, \mathbf{x}) = 0\,.
\left(\Box + m^2 \right) \phi(x) = 0\,.
TeX (checked):
\left[{\frac {1}{c^{2}}}{\frac {\partial ^{2}}{\partial t^{2}}}-\mathbf {\nabla } ^{2}+{\frac {m^{2}c^{2}}{\hbar ^{2}}}\right]\phi (t,\mathbf {x} )=0\,.\left(\Box +m^{2}\right)\phi (x)=0\,.
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MathML (1.904 KB / 436 B) :
<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="INNER"><mo data-mjx-texclass="OPEN">[</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow><mrow data-mjx-texclass="ORD"><msup><mi>c</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msup></mrow></mfrac></mrow><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><msup><mi>∂</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msup></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>∂</mi><msup><mi>t</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msup></mrow></mrow></mfrac></mrow><mo>−</mo><msup><mrow data-mjx-texclass="ORD"><mi mathvariant="normal">∇</mi></mrow><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msup><mo>+</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><msup><mi>m</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msup><msup><mi>c</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msup></mrow></mrow><mrow data-mjx-texclass="ORD"><msup><mi data-mjx-alternate="1">ℏ</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msup></mrow></mfrac></mrow><mo data-mjx-texclass="CLOSE">]</mo></mrow><mi>ϕ</mi><mo stretchy="false">(</mo><mi>t</mi><mo>,</mo><mrow data-mjx-texclass="ORD"><mi mathvariant="bold">x</mi></mrow><mo stretchy="false">)</mo><mo>=</mo><mn>0</mn><mspace width="0.167em"></mspace><mo>.</mo><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><mi>◻</mi><mo>+</mo><msup><mi>m</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msup><mo data-mjx-texclass="CLOSE">)</mo></mrow><mi>ϕ</mi><mo stretchy="false">(</mo><mi>x</mi><mo stretchy="false">)</mo><mo>=</mo><mn>0</mn><mspace width="0.167em"></mspace><mo>.</mo></mstyle></mrow></math>
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