Jump to navigation Jump to search

General

Display information for equation id:math.1626.61 on revision:1626

* Page found: Operatoren im Hilbertraum (eq math.1626.61)

(force rerendering)

Occurrences on the following pages:

Hash: 0a04743274dfd64ddc831f8eccfc495a

TeX (original user input):

\begin{align}

& \hat{F}\left| {{\Psi }_{2}} \right\rangle :=\left| \Phi  \right\rangle \Leftrightarrow \left\langle  {{\Psi }_{2}} \right|{{{\hat{F}}}^{+}}=\left\langle  \Phi  \right| \\

& \Rightarrow \left\langle  {{\Psi }_{1}} | \Phi  \right\rangle =\left\langle  \Phi  | {{\Psi }_{1}} \right\rangle *=\left\langle  {{\Psi }_{2}} \right|{{{\hat{F}}}^{+}}\left| {{\Psi }_{1}} \right\rangle * \\

\end{align}

TeX (checked):

{\begin{aligned}&{\hat {F}}\left|{{\Psi }_{2}}\right\rangle :=\left|\Phi \right\rangle \Leftrightarrow \left\langle {{\Psi }_{2}}\right|{{\hat {F}}^{+}}=\left\langle \Phi \right|\\&\Rightarrow \left\langle {{\Psi }_{1}}|\Phi \right\rangle =\left\langle \Phi |{{\Psi }_{1}}\right\rangle *=\left\langle {{\Psi }_{2}}\right|{{\hat {F}}^{+}}\left|{{\Psi }_{1}}\right\rangle *\\\end{aligned}}

LaTeXML (experimental; uses MathML) rendering

MathML (0 B / 8 B) :

SVG image empty. Force Re-Rendering

SVG (0 B / 8 B) :


MathML (experimental; no images) rendering

MathML (2.687 KB / 438 B) :

F^|Ψ2:=|ΦΨ2|F^+=Φ|Ψ1|Φ=Φ|Ψ1*=Ψ2|F^+|Ψ1*
<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="ORD"><mrow data-mjx-texclass="ORD"><mover><mi>F</mi><mo>^</mo></mover></mrow></mrow><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">|</mo><msub><mi mathvariant="normal">&#x03A8;</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub><mo data-mjx-texclass="CLOSE">&#x27E9;</mo></mrow><mi>:</mi><mo>=</mo><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">|</mo><mi mathvariant="normal">&#x03A6;</mi><mo data-mjx-texclass="CLOSE">&#x27E9;</mo></mrow><mo>&#x21D4;</mo><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">&#x27E8;</mo><msub><mi mathvariant="normal">&#x03A8;</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub><mo data-mjx-texclass="CLOSE">|</mo></mrow><msup><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mover><mi>F</mi><mo>^</mo></mover></mrow></mrow><mrow data-mjx-texclass="ORD"><mo>+</mo></mrow></msup><mo>=</mo><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">&#x27E8;</mo><mi mathvariant="normal">&#x03A6;</mi><mo data-mjx-texclass="CLOSE">|</mo></mrow></mtd></mtr><mtr><mtd></mtd><mtd><mo>&#x21D2;</mo><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">&#x27E8;</mo><msub><mi mathvariant="normal">&#x03A8;</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub><mo>|</mo><mi mathvariant="normal">&#x03A6;</mi><mo data-mjx-texclass="CLOSE">&#x27E9;</mo></mrow><mo>=</mo><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">&#x27E8;</mo><mi mathvariant="normal">&#x03A6;</mi><mo>|</mo><msub><mi mathvariant="normal">&#x03A8;</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub><mo data-mjx-texclass="CLOSE">&#x27E9;</mo></mrow><mo>*</mo><mo>=</mo><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">&#x27E8;</mo><msub><mi mathvariant="normal">&#x03A8;</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub><mo data-mjx-texclass="CLOSE">|</mo></mrow><msup><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mover><mi>F</mi><mo>^</mo></mover></mrow></mrow><mrow data-mjx-texclass="ORD"><mo>+</mo></mrow></msup><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">|</mo><msub><mi mathvariant="normal">&#x03A8;</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub><mo data-mjx-texclass="CLOSE">&#x27E9;</mo></mrow><mo>*</mo></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 Operatoren im Hilbertraum page

Identifiers

  • F^
  • Ψ2
  • Φ
  • Ψ2
  • F^
  • Φ
  • Ψ1
  • Φ
  • Φ
  • Ψ1
  • Ψ2
  • F^
  • Ψ1

MathML observations

0results

0results

no statistics present please run the maintenance script ExtractFeatures.php

0 results

0 results