Zur Navigation springen Zur Suche springen

General

Display information for equation id:math.1626.66 on revision:1626

* Page found: Operatoren im Hilbertraum (eq math.1626.66)

(force rerendering)

Occurrences on the following pages:

Hash: fbe6773fb37e1c02b41d738e001e466c

TeX (original user input):

\left\langle  \Psi  \right|\hat{F}(\bar{r},\frac{\hbar }{i}\nabla )\left| \Psi  \right\rangle =\left\langle  \Psi  \right|\hat{F}(\bar{r},\frac{\hbar }{i}\nabla )\left| \Psi  \right\rangle *

LaTeXML (experimentell; verwendet MathML) rendering

MathML (8.007 KB / 1.342 KB) :

Ψ | F ^ ( r ¯ , i ) | Ψ = Ψ | F ^ ( r ¯ , i ) | Ψ * fragments fragments Ψ | ^ 𝐹 fragments ( ¯ 𝑟 , Planck-constant-over-2-pi 𝑖 ) | Ψ fragments Ψ | ^ 𝐹 fragments ( ¯ 𝑟 , Planck-constant-over-2-pi 𝑖 ) | Ψ {\displaystyle{\displaystyle\left\langle\Psi\right|\hat{F}(\bar{r},\frac{\hbar% }{i}\nabla)\left|\Psi\right\rangle=\left\langle\Psi\right|\hat{F}(\bar{r},% \frac{\hbar}{i}\nabla)\left|\Psi\right\rangle*}}
<math xmlns="http://www.w3.org/1998/Math/MathML" id="p1.1.m1.1" class="ltx_Math" alttext="{\displaystyle{\displaystyle\left\langle\Psi\right|\hat{F}(\bar{r},\frac{\hbar%&#10;}{i}\nabla)\left|\Psi\right\rangle=\left\langle\Psi\right|\hat{F}(\bar{r},%&#10;\frac{\hbar}{i}\nabla)\left|\Psi\right\rangle*}}" display="inline">
  <semantics id="p1.1.m1.1a">
    <mrow id="p1.1.m1.1b">
      <mrow id="p1.1.m1.1.30" xref="p1.1.m1.1.30.cmml">
        <mo id="p1.1.m1.1.1" xref="p1.1.m1.1.1.cmml"></mo>
        <mi mathvariant="normal" id="p1.1.m1.1.2" xref="p1.1.m1.1.2.cmml">Ψ</mi>
        <mo id="p1.1.m1.1.3" xref="p1.1.m1.1.3.cmml">|</mo>
        <mover accent="true" id="p1.1.m1.1.4" xref="p1.1.m1.1.4.cmml">
          <mi id="p1.1.m1.1.4.2" xref="p1.1.m1.1.4.2.cmml">F</mi>
          <mo stretchy="false" id="p1.1.m1.1.4.1" xref="p1.1.m1.1.4.1.cmml">^</mo>
        </mover>
        <mrow id="p1.1.m1.1.29" xref="p1.1.m1.1.29.cmml">
          <mo stretchy="false" id="p1.1.m1.1.5" xref="p1.1.m1.1.5.cmml">(</mo>
          <mover accent="true" id="p1.1.m1.1.6" xref="p1.1.m1.1.6.cmml">
            <mi id="p1.1.m1.1.6.2" xref="p1.1.m1.1.6.2.cmml">r</mi>
            <mo stretchy="false" id="p1.1.m1.1.6.1" xref="p1.1.m1.1.6.1.cmml">¯</mo>
          </mover>
          <mo id="p1.1.m1.1.7" xref="p1.1.m1.1.7.cmml">,</mo>
          <mstyle displaystyle="true" id="p1.1.m1.1.8" xref="p1.1.m1.1.8.cmml">
            <mfrac id="p1.1.m1.1.8a" xref="p1.1.m1.1.8.cmml">
              <mi mathvariant="normal" id="p1.1.m1.1.8.2" xref="p1.1.m1.1.8.2.cmml"></mi>
              <mi id="p1.1.m1.1.8.3" xref="p1.1.m1.1.8.3.cmml">i</mi>
            </mfrac>
          </mstyle>
          <mo id="p1.1.m1.1.9" xref="p1.1.m1.1.9.cmml"></mo>
          <mo stretchy="false" id="p1.1.m1.1.10" xref="p1.1.m1.1.10.cmml">)</mo>
        </mrow>
        <mo id="p1.1.m1.1.11" xref="p1.1.m1.1.11.cmml">|</mo>
        <mi mathvariant="normal" id="p1.1.m1.1.12" xref="p1.1.m1.1.12.cmml">Ψ</mi>
        <mo id="p1.1.m1.1.13" xref="p1.1.m1.1.13.cmml"></mo>
      </mrow>
      <mo id="p1.1.m1.1.14" xref="p1.1.m1.1.14.cmml">=</mo>
      <mrow id="p1.1.m1.1.32" xref="p1.1.m1.1.32.cmml">
        <mo id="p1.1.m1.1.15" xref="p1.1.m1.1.15.cmml"></mo>
        <mi mathvariant="normal" id="p1.1.m1.1.16" xref="p1.1.m1.1.16.cmml">Ψ</mi>
        <mo id="p1.1.m1.1.17" xref="p1.1.m1.1.17.cmml">|</mo>
        <mover accent="true" id="p1.1.m1.1.18" xref="p1.1.m1.1.18.cmml">
          <mi id="p1.1.m1.1.18.2" xref="p1.1.m1.1.18.2.cmml">F</mi>
          <mo stretchy="false" id="p1.1.m1.1.18.1" xref="p1.1.m1.1.18.1.cmml">^</mo>
        </mover>
        <mrow id="p1.1.m1.1.31" xref="p1.1.m1.1.31.cmml">
          <mo stretchy="false" id="p1.1.m1.1.19" xref="p1.1.m1.1.19.cmml">(</mo>
          <mover accent="true" id="p1.1.m1.1.20" xref="p1.1.m1.1.20.cmml">
            <mi id="p1.1.m1.1.20.2" xref="p1.1.m1.1.20.2.cmml">r</mi>
            <mo stretchy="false" id="p1.1.m1.1.20.1" xref="p1.1.m1.1.20.1.cmml">¯</mo>
          </mover>
          <mo id="p1.1.m1.1.21" xref="p1.1.m1.1.21.cmml">,</mo>
          <mstyle displaystyle="true" id="p1.1.m1.1.22" xref="p1.1.m1.1.22.cmml">
            <mfrac id="p1.1.m1.1.22a" xref="p1.1.m1.1.22.cmml">
              <mi mathvariant="normal" id="p1.1.m1.1.22.2" xref="p1.1.m1.1.22.2.cmml"></mi>
              <mi id="p1.1.m1.1.22.3" xref="p1.1.m1.1.22.3.cmml">i</mi>
            </mfrac>
          </mstyle>
          <mo id="p1.1.m1.1.23" xref="p1.1.m1.1.23.cmml"></mo>
          <mo stretchy="false" id="p1.1.m1.1.24" xref="p1.1.m1.1.24.cmml">)</mo>
        </mrow>
        <mo id="p1.1.m1.1.25" xref="p1.1.m1.1.25.cmml">|</mo>
        <mi mathvariant="normal" id="p1.1.m1.1.26" xref="p1.1.m1.1.26.cmml">Ψ</mi>
        <mo id="p1.1.m1.1.27" xref="p1.1.m1.1.27.cmml"></mo>
      </mrow>
      <mo id="p1.1.m1.1.28" xref="p1.1.m1.1.28.cmml">*</mo>
    </mrow>
    <annotation-xml encoding="MathML-Content" id="p1.1.m1.1c">
      <cerror id="p1.1.m1.1d">
        <csymbol cd="ambiguous" id="p1.1.m1.1e">fragments</csymbol>
        <cerror id="p1.1.m1.1.30.cmml" xref="p1.1.m1.1.30">
          <csymbol cd="ambiguous" id="p1.1.m1.1.30a.cmml" xref="p1.1.m1.1.30">fragments</csymbol>
          <ci id="p1.1.m1.1.1.cmml" xref="p1.1.m1.1.1"></ci>
          <csymbol cd="unknown" id="p1.1.m1.1.2.cmml" xref="p1.1.m1.1.2">Ψ</csymbol>
          <ci id="p1.1.m1.1.3.cmml" xref="p1.1.m1.1.3">|</ci>
          <apply id="p1.1.m1.1.4.cmml" xref="p1.1.m1.1.4">
            <ci id="p1.1.m1.1.4.1.cmml" xref="p1.1.m1.1.4.1">^</ci>
            <ci id="p1.1.m1.1.4.2.cmml" xref="p1.1.m1.1.4.2">𝐹</ci>
          </apply>
          <cerror id="p1.1.m1.1.29.cmml" xref="p1.1.m1.1.29">
            <csymbol cd="ambiguous" id="p1.1.m1.1.29a.cmml" xref="p1.1.m1.1.29">fragments</csymbol>
            <ci id="p1.1.m1.1.5.cmml" xref="p1.1.m1.1.5">(</ci>
            <apply id="p1.1.m1.1.6.cmml" xref="p1.1.m1.1.6">
              <ci id="p1.1.m1.1.6.1.cmml" xref="p1.1.m1.1.6.1">¯</ci>
              <ci id="p1.1.m1.1.6.2.cmml" xref="p1.1.m1.1.6.2">𝑟</ci>
            </apply>
            <ci id="p1.1.m1.1.7.cmml" xref="p1.1.m1.1.7">,</ci>
            <apply id="p1.1.m1.1.8.cmml" xref="p1.1.m1.1.8">
              <divide id="p1.1.m1.1.8.1.cmml" xref="p1.1.m1.1.8"/>
              <csymbol cd="latexml" id="p1.1.m1.1.8.2.cmml" xref="p1.1.m1.1.8.2">Planck-constant-over-2-pi</csymbol>
              <ci id="p1.1.m1.1.8.3.cmml" xref="p1.1.m1.1.8.3">𝑖</ci>
            </apply>
            <ci id="p1.1.m1.1.9.cmml" xref="p1.1.m1.1.9"></ci>
            <ci id="p1.1.m1.1.10.cmml" xref="p1.1.m1.1.10">)</ci>
          </cerror>
          <ci id="p1.1.m1.1.11.cmml" xref="p1.1.m1.1.11">|</ci>
          <csymbol cd="unknown" id="p1.1.m1.1.12.cmml" xref="p1.1.m1.1.12">Ψ</csymbol>
          <ci id="p1.1.m1.1.13.cmml" xref="p1.1.m1.1.13"></ci>
        </cerror>
        <eq id="p1.1.m1.1.14.cmml" xref="p1.1.m1.1.14"/>
        <cerror id="p1.1.m1.1.32.cmml" xref="p1.1.m1.1.32">
          <csymbol cd="ambiguous" id="p1.1.m1.1.32a.cmml" xref="p1.1.m1.1.32">fragments</csymbol>
          <ci id="p1.1.m1.1.15.cmml" xref="p1.1.m1.1.15"></ci>
          <csymbol cd="unknown" id="p1.1.m1.1.16.cmml" xref="p1.1.m1.1.16">Ψ</csymbol>
          <ci id="p1.1.m1.1.17.cmml" xref="p1.1.m1.1.17">|</ci>
          <apply id="p1.1.m1.1.18.cmml" xref="p1.1.m1.1.18">
            <ci id="p1.1.m1.1.18.1.cmml" xref="p1.1.m1.1.18.1">^</ci>
            <ci id="p1.1.m1.1.18.2.cmml" xref="p1.1.m1.1.18.2">𝐹</ci>
          </apply>
          <cerror id="p1.1.m1.1.31.cmml" xref="p1.1.m1.1.31">
            <csymbol cd="ambiguous" id="p1.1.m1.1.31a.cmml" xref="p1.1.m1.1.31">fragments</csymbol>
            <ci id="p1.1.m1.1.19.cmml" xref="p1.1.m1.1.19">(</ci>
            <apply id="p1.1.m1.1.20.cmml" xref="p1.1.m1.1.20">
              <ci id="p1.1.m1.1.20.1.cmml" xref="p1.1.m1.1.20.1">¯</ci>
              <ci id="p1.1.m1.1.20.2.cmml" xref="p1.1.m1.1.20.2">𝑟</ci>
            </apply>
            <ci id="p1.1.m1.1.21.cmml" xref="p1.1.m1.1.21">,</ci>
            <apply id="p1.1.m1.1.22.cmml" xref="p1.1.m1.1.22">
              <divide id="p1.1.m1.1.22.1.cmml" xref="p1.1.m1.1.22"/>
              <csymbol cd="latexml" id="p1.1.m1.1.22.2.cmml" xref="p1.1.m1.1.22.2">Planck-constant-over-2-pi</csymbol>
              <ci id="p1.1.m1.1.22.3.cmml" xref="p1.1.m1.1.22.3">𝑖</ci>
            </apply>
            <ci id="p1.1.m1.1.23.cmml" xref="p1.1.m1.1.23"></ci>
            <ci id="p1.1.m1.1.24.cmml" xref="p1.1.m1.1.24">)</ci>
          </cerror>
          <ci id="p1.1.m1.1.25.cmml" xref="p1.1.m1.1.25">|</ci>
          <csymbol cd="unknown" id="p1.1.m1.1.26.cmml" xref="p1.1.m1.1.26">Ψ</csymbol>
          <ci id="p1.1.m1.1.27.cmml" xref="p1.1.m1.1.27"></ci>
        </cerror>
        <times id="p1.1.m1.1.28.cmml" xref="p1.1.m1.1.28"/>
      </cerror>
    </annotation-xml>
    <annotation encoding="application/x-tex" id="p1.1.m1.1f">{\displaystyle{\displaystyle\left\langle\Psi\right|\hat{F}(\bar{r},\frac{\hbar%
}{i}\nabla)\left|\Psi\right\rangle=\left\langle\Psi\right|\hat{F}(\bar{r},%
\frac{\hbar}{i}\nabla)\left|\Psi\right\rangle*}}</annotation>
  </semantics>
</math>

SVG image empty. Force Re-Rendering

SVG (0 B / 8 B) :


MathML (experimentell; keine Bilder) rendering

MathML (1.763 KB / 350 B) :

Ψ|F^(r¯,i)|Ψ=Ψ|F^(r¯,i)|Ψ*
<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">&#x27E8;</mo><mi mathvariant="normal">&#x03A8;</mi><mo data-mjx-texclass="CLOSE">|</mo></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mover><mi>F</mi><mo>^</mo></mover></mrow></mrow><mo stretchy="false">(</mo><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mover><mi>r</mi><mo>¯</mo></mover></mrow></mrow><mo>,</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mi data-mjx-alternate="1">&#x210F;</mi></mrow><mrow data-mjx-texclass="ORD"><mi>i</mi></mrow></mfrac></mrow><mi mathvariant="normal">&#x2207;</mi><mo stretchy="false">)</mo><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">|</mo><mi mathvariant="normal">&#x03A8;</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">&#x03A8;</mi><mo data-mjx-texclass="CLOSE">|</mo></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mover><mi>F</mi><mo>^</mo></mover></mrow></mrow><mo stretchy="false">(</mo><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mover><mi>r</mi><mo>¯</mo></mover></mrow></mrow><mo>,</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mi data-mjx-alternate="1">&#x210F;</mi></mrow><mrow data-mjx-texclass="ORD"><mi>i</mi></mrow></mfrac></mrow><mi mathvariant="normal">&#x2207;</mi><mo stretchy="false">)</mo><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">|</mo><mi mathvariant="normal">&#x03A8;</mi><mo data-mjx-texclass="CLOSE">&#x27E9;</mo></mrow><mo>*</mo></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

MathML observations

0results

0results

no statistics present please run the maintenance script ExtractFeatures.php

0 results

0 results