Zur Navigation springen
Zur Suche springen
General
Display information for equation id:math.1614.64 on revision:1614
* Page found: Zustandsvektoren im Hilbertraum (eq math.1614.64)
(force rerendering)Occurrences on the following pages:
Hash: 6348fa49eaf03c5743d28fb8a7770d91
TeX (original user input):
\begin{align}
& \left\langle \Phi | \Psi \right\rangle ={{\lambda }_{1}}\left\langle \Phi | {{\Psi }_{1}} \right\rangle +{{\lambda }_{2}}\left\langle \Phi | {{\Psi }_{2}} \right\rangle \\
& \Rightarrow \left\langle \Phi | \Psi \right\rangle *={{\lambda }_{1}}*\left\langle \Phi | {{\Psi }_{1}} \right\rangle *+{{\lambda }_{2}}*\left\langle \Phi | {{\Psi }_{2}} \right\rangle * \\
& \Rightarrow \left\langle \Psi | \Phi \right\rangle ={{\lambda }_{1}}*\left\langle {{\Psi }_{1}} | \Phi \right\rangle +{{\lambda }_{2}}*\left\langle {{\Psi }_{2}} | \Phi \right\rangle \\
& \Rightarrow \left\langle \Psi \right|={{\lambda }_{1}}*\left\langle {{\Psi }_{1}} \right|+{{\lambda }_{2}}*\left\langle {{\Psi }_{2}} \right| \\
\end{align}
TeX (checked):
{\begin{aligned}&\left\langle \Phi |\Psi \right\rangle ={{\lambda }_{1}}\left\langle \Phi |{{\Psi }_{1}}\right\rangle +{{\lambda }_{2}}\left\langle \Phi |{{\Psi }_{2}}\right\rangle \\&\Rightarrow \left\langle \Phi |\Psi \right\rangle *={{\lambda }_{1}}*\left\langle \Phi |{{\Psi }_{1}}\right\rangle *+{{\lambda }_{2}}*\left\langle \Phi |{{\Psi }_{2}}\right\rangle *\\&\Rightarrow \left\langle \Psi |\Phi \right\rangle ={{\lambda }_{1}}*\left\langle {{\Psi }_{1}}|\Phi \right\rangle +{{\lambda }_{2}}*\left\langle {{\Psi }_{2}}|\Phi \right\rangle \\&\Rightarrow \left\langle \Psi \right|={{\lambda }_{1}}*\left\langle {{\Psi }_{1}}\right|+{{\lambda }_{2}}*\left\langle {{\Psi }_{2}}\right|\\\end{aligned}}
LaTeXML (experimentell; verwendet MathML) rendering
MathML (0 B / 8 B) :
SVG image empty. Force Re-Rendering
SVG (0 B / 8 B) :
MathML (experimentell; keine Bilder) rendering
MathML (4.129 KB / 441 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="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><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">⟨</mo><mi mathvariant="normal">Φ</mi><mo>|</mo><mi mathvariant="normal">Ψ</mi><mo data-mjx-texclass="CLOSE">⟩</mo></mrow><mo>=</mo><msub><mi>λ</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">⟨</mo><mi mathvariant="normal">Φ</mi><mo>|</mo><msub><mi mathvariant="normal">Ψ</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub><mo data-mjx-texclass="CLOSE">⟩</mo></mrow><mo>+</mo><msub><mi>λ</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">⟨</mo><mi mathvariant="normal">Φ</mi><mo>|</mo><msub><mi mathvariant="normal">Ψ</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub><mo data-mjx-texclass="CLOSE">⟩</mo></mrow></mtd></mtr><mtr><mtd></mtd><mtd><mo>⇒</mo><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">⟨</mo><mi mathvariant="normal">Φ</mi><mo>|</mo><mi mathvariant="normal">Ψ</mi><mo data-mjx-texclass="CLOSE">⟩</mo></mrow><mo>*</mo><mo>=</mo><msub><mi>λ</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub><mo>*</mo><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">⟨</mo><mi mathvariant="normal">Φ</mi><mo>|</mo><msub><mi mathvariant="normal">Ψ</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub><mo data-mjx-texclass="CLOSE">⟩</mo></mrow><mo>*</mo><mo>+</mo><msub><mi>λ</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub><mo>*</mo><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">⟨</mo><mi mathvariant="normal">Φ</mi><mo>|</mo><msub><mi mathvariant="normal">Ψ</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub><mo data-mjx-texclass="CLOSE">⟩</mo></mrow><mo>*</mo></mtd></mtr><mtr><mtd></mtd><mtd><mo>⇒</mo><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">⟨</mo><mi mathvariant="normal">Ψ</mi><mo>|</mo><mi mathvariant="normal">Φ</mi><mo data-mjx-texclass="CLOSE">⟩</mo></mrow><mo>=</mo><msub><mi>λ</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub><mo>*</mo><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">⟨</mo><msub><mi mathvariant="normal">Ψ</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub><mo>|</mo><mi mathvariant="normal">Φ</mi><mo data-mjx-texclass="CLOSE">⟩</mo></mrow><mo>+</mo><msub><mi>λ</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub><mo>*</mo><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">⟨</mo><msub><mi mathvariant="normal">Ψ</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub><mo>|</mo><mi mathvariant="normal">Φ</mi><mo data-mjx-texclass="CLOSE">⟩</mo></mrow></mtd></mtr><mtr><mtd></mtd><mtd><mo>⇒</mo><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">⟨</mo><mi mathvariant="normal">Ψ</mi><mo data-mjx-texclass="CLOSE">|</mo></mrow><mo>=</mo><msub><mi>λ</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub><mo>*</mo><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">⟨</mo><msub><mi mathvariant="normal">Ψ</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub><mo data-mjx-texclass="CLOSE">|</mo></mrow><mo>+</mo><msub><mi>λ</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub><mo>*</mo><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">⟨</mo><msub><mi mathvariant="normal">Ψ</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub><mo data-mjx-texclass="CLOSE">|</mo></mrow></mtd></mtr><mtr><mtd></mtd></mtr></mtable></mrow></mstyle></mrow></math>
Translations to Computer Algebra Systems
Translation to Maple
In Maple:
Translation to Mathematica
In Mathematica:
Similar pages
Calculated based on the variables occurring on the entire Zustandsvektoren im Hilbertraum page
Identifiers
MathML observations
0results
0results
no statistics present please run the maintenance script ExtractFeatures.php
0 results
0 results