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Display information for equation id:math.1609.48 on revision:1609
* Page found: Eigenschaften eindimensionaler stationärer Zustände (eq math.1609.48)
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Hash: 48b57d0a537562df1b8653181345347b
TeX (original user input):
\int\limits_{-\infty }^{{{x}_{0}}}{\left( {{\phi }_{E}}\acute{\ }{{\phi }_{E}} \right)dx}=-\int\limits_{-\infty }^{{{x}_{0}}}{\left( {{\phi }_{E}}\acute{\ }{{\phi }_{E}}\acute{\ } \right)dx}=\frac{2m}{{{\hbar }^{2}}}(V-E)\int\limits_{-\infty }^{{{x}_{0}}}{{{\phi }_{E}}^{2}dx}>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"><munderover><mo form="prefix" texclass="OP">∫</mo><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mo>−</mo><mi mathvariant="normal">∞</mi></mrow></mrow><mrow data-mjx-texclass="ORD"><msub><mi>x</mi><mrow data-mjx-texclass="ORD"><mn>0</mn></mrow></msub></mrow></munderover><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><msub><mi>ϕ</mi><mrow data-mjx-texclass="ORD"><mi>E</mi></mrow></msub><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mover><mspace width="0.5em"/><mo data-mjx-pseudoscript="true">´</mo></mover></mrow></mrow><msub><mi>ϕ</mi><mrow data-mjx-texclass="ORD"><mi>E</mi></mrow></msub><mo data-mjx-texclass="CLOSE">)</mo></mrow><mi>d</mi><mi>x</mi></mrow><mo>=</mo><mo>−</mo><munderover><mo form="prefix" texclass="OP">∫</mo><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mo>−</mo><mi mathvariant="normal">∞</mi></mrow></mrow><mrow data-mjx-texclass="ORD"><msub><mi>x</mi><mrow data-mjx-texclass="ORD"><mn>0</mn></mrow></msub></mrow></munderover><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><msub><mi>ϕ</mi><mrow data-mjx-texclass="ORD"><mi>E</mi></mrow></msub><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mover><mspace width="0.5em"/><mo data-mjx-pseudoscript="true">´</mo></mover></mrow></mrow><msub><mi>ϕ</mi><mrow data-mjx-texclass="ORD"><mi>E</mi></mrow></msub><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mover><mspace width="0.5em"/><mo data-mjx-pseudoscript="true">´</mo></mover></mrow></mrow><mo data-mjx-texclass="CLOSE">)</mo></mrow><mi>d</mi><mi>x</mi></mrow><mo>=</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mn>2</mn><mi>m</mi></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 stretchy="false">(</mo><mi>V</mi><mo>−</mo><mi>E</mi><mo stretchy="false">)</mo><munderover><mo form="prefix" texclass="OP">∫</mo><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mo>−</mo><mi mathvariant="normal">∞</mi></mrow></mrow><mrow data-mjx-texclass="ORD"><msub><mi>x</mi><mrow data-mjx-texclass="ORD"><mn>0</mn></mrow></msub></mrow></munderover><mrow data-mjx-texclass="ORD"><msup><msub><mi>ϕ</mi><mrow data-mjx-texclass="ORD"><mi>E</mi></mrow></msub><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msup><mi>d</mi><mi>x</mi></mrow><mo>></mo><mn>0</mn></mstyle></mrow></math>
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