Jump to navigation Jump to search

General

Display information for equation id:math.1700.12 on revision:1700

* Page found: Zustände mit Bahn- und Spinvariablen (eq math.1700.12)

(force rerendering)

Occurrences on the following pages:

Hash: 61660220fd8e9871d9f0d3dc3c60d171

TeX (original user input): 

\int_{{}}^{{}}{{{d}^{3}}r\left\{ \left| \bar{r}\uparrow  \right\rangle \left\langle  \bar{r}\uparrow  \right|+\left| \bar{r}\downarrow  \right\rangle \left\langle  \bar{r}\downarrow  \right| \right\}}=1\quad \in {{H}_{B}}\times {{H}_{S}}

TeX (checked): 

\int _{}^{}{{{d}^{3}}r\left\{\left|{\bar {r}}\uparrow \right\rangle \left\langle {\bar {r}}\uparrow \right|+\left|{\bar {r}}\downarrow \right\rangle \left\langle {\bar {r}}\downarrow \right|\right\}}=1\quad \in {{H}_{B}}\times {{H}_{S}}

LaTeXML (experimental; uses MathML) rendering

MathML (7.866 KB / 1.435 KB) :

∫ d 3 r { | r ¯ ↑ ⟩ ⟨ r ¯ ↑ | + | r ¯ ↓ ⟩ ⟨ r ¯ ↓ | } = 1   ∈ H B × H S fragments superscript 𝑑 3 r fragments { | ¯ 𝑟 ↑ ⟩ fragments ⟨ ¯ 𝑟 ↑ | | ¯ 𝑟 ↓ ⟩ fragments ⟨ ¯ 𝑟 ↓ | } 1 italic-  subscript 𝐻 𝐵 subscript 𝐻 𝑆 {\displaystyle{\displaystyle\int{{{d}^{3}}r\left\{\left|\bar{r}\uparrow\right% \rangle\left\langle\bar{r}\uparrow\right|+\left|\bar{r}\downarrow\right\rangle% \left\langle\bar{r}\downarrow\right|\right\}}=1\quad\in{{H}_{B}}\times{{H}_{S}% }}} 
<math xmlns="http://www.w3.org/1998/Math/MathML" id="p1.1.m1.1" class="ltx_Math" alttext="{\displaystyle{\displaystyle\int{{{d}^{3}}r\left\{\left|\bar{r}\uparrow\right%&#10;\rangle\left\langle\bar{r}\uparrow\right|+\left|\bar{r}\downarrow\right\rangle%&#10;\left\langle\bar{r}\downarrow\right|\right\}}=1\quad\in{{H}_{B}}\times{{H}_{S}%&#10;}}}" display="inline">
  <semantics id="p1.1.m1.1a">
    <mrow id="p1.1.m1.1b">
      <mstyle displaystyle="true" id="p1.1.m1.1.1" xref="p1.1.m1.1.1.cmml">
        <mo largeop="true" symmetric="true" id="p1.1.m1.1.1a" xref="p1.1.m1.1.1.cmml">∫</mo>
      </mstyle>
      <msup id="p1.1.m1.1.35" xref="p1.1.m1.1.35.cmml">
        <mi id="p1.1.m1.1.2" xref="p1.1.m1.1.2.cmml">d</mi>
        <mn id="p1.1.m1.1.3.1" xref="p1.1.m1.1.3.1.cmml">3</mn>
      </msup>
      <mi id="p1.1.m1.1.4" xref="p1.1.m1.1.4.cmml">r</mi>
      <mrow id="p1.1.m1.1.3" xref="p1.1.m1.1.3.cmml">
        <mo id="p1.1.m1.1.5" xref="p1.1.m1.1.5.cmml">{</mo>
        <mo id="p1.1.m1.1.6" xref="p1.1.m1.1.6.cmml">|</mo>
        <mover accent="true" id="p1.1.m1.1.7" xref="p1.1.m1.1.7.cmml">
          <mi id="p1.1.m1.1.7.2" xref="p1.1.m1.1.7.2.cmml">r</mi>
          <mo stretchy="false" id="p1.1.m1.1.7.1" xref="p1.1.m1.1.7.1.cmml">¯</mo>
        </mover>
        <mo id="p1.1.m1.1.8" xref="p1.1.m1.1.8.cmml">↑</mo>
        <mo id="p1.1.m1.1.9" xref="p1.1.m1.1.9.cmml">⟩</mo>
      </mrow>
      <mrow id="p1.1.m1.1.26" xref="p1.1.m1.1.26.cmml">
        <mo id="p1.1.m1.1.10" xref="p1.1.m1.1.10.cmml">⟨</mo>
        <mover accent="true" id="p1.1.m1.1.11" xref="p1.1.m1.1.11.cmml">
          <mi id="p1.1.m1.1.11.2" xref="p1.1.m1.1.11.2.cmml">r</mi>
          <mo stretchy="false" id="p1.1.m1.1.11.1" xref="p1.1.m1.1.11.1.cmml">¯</mo>
        </mover>
        <mo id="p1.1.m1.1.12" xref="p1.1.m1.1.12.cmml">↑</mo>
        <mo id="p1.1.m1.1.13" xref="p1.1.m1.1.13.cmml">|</mo>
        <mo id="p1.1.m1.1.14" xref="p1.1.m1.1.14.cmml">+</mo>
        <mo id="p1.1.m1.1.15" xref="p1.1.m1.1.15.cmml">|</mo>
        <mover accent="true" id="p1.1.m1.1.16" xref="p1.1.m1.1.16.cmml">
          <mi id="p1.1.m1.1.16.2" xref="p1.1.m1.1.16.2.cmml">r</mi>
          <mo stretchy="false" id="p1.1.m1.1.16.1" xref="p1.1.m1.1.16.1.cmml">¯</mo>
        </mover>
        <mo id="p1.1.m1.1.17" xref="p1.1.m1.1.17.cmml">↓</mo>
        <mo id="p1.1.m1.1.18" xref="p1.1.m1.1.18.cmml">⟩</mo>
      </mrow>
      <mrow id="p1.1.m1.1.29" xref="p1.1.m1.1.29.cmml">
        <mo 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>
        <mo id="p1.1.m1.1.22" xref="p1.1.m1.1.22.cmml">|</mo>
        <mo id="p1.1.m1.1.23" xref="p1.1.m1.1.23.cmml">}</mo>
      </mrow>
      <mo id="p1.1.m1.1.24" xref="p1.1.m1.1.24.cmml">=</mo>
      <mn id="p1.1.m1.1.25" xref="p1.1.m1.1.25.cmml">1</mn>
      <mo mathvariant="italic" separator="true" id="p1.1.m1.1.34" xref="p1.1.m1.1.34.cmml"> </mo>
      <mo id="p1.1.m1.1.27" xref="p1.1.m1.1.27.cmml">∈</mo>
      <msub id="p1.1.m1.1.36" xref="p1.1.m1.1.36.cmml">
        <mi id="p1.1.m1.1.28" xref="p1.1.m1.1.28.cmml">H</mi>
        <mi id="p1.1.m1.1.29.1" xref="p1.1.m1.1.29.1.cmml">B</mi>
      </msub>
      <mo id="p1.1.m1.1.30" xref="p1.1.m1.1.30.cmml">×</mo>
      <msub id="p1.1.m1.1.37" xref="p1.1.m1.1.37.cmml">
        <mi id="p1.1.m1.1.31" xref="p1.1.m1.1.31.cmml">H</mi>
        <mi id="p1.1.m1.1.32.1" xref="p1.1.m1.1.32.1.cmml">S</mi>
      </msub>
    </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>
        <int id="p1.1.m1.1.1.cmml" xref="p1.1.m1.1.1"/>
        <apply id="p1.1.m1.1.35.cmml" xref="p1.1.m1.1.35">
          <csymbol cd="ambiguous" id="p1.1.m1.1.35.1.cmml" xref="p1.1.m1.1.35">superscript</csymbol>
          <ci id="p1.1.m1.1.2.cmml" xref="p1.1.m1.1.2">𝑑</ci>
          <cn type="integer" id="p1.1.m1.1.3.1.cmml" xref="p1.1.m1.1.3.1">3</cn>
        </apply>
        <csymbol cd="unknown" id="p1.1.m1.1.4.cmml" xref="p1.1.m1.1.4">r</csymbol>
        <cerror id="p1.1.m1.1.3.cmml" xref="p1.1.m1.1.3">
          <csymbol cd="ambiguous" id="p1.1.m1.1.3a.cmml" xref="p1.1.m1.1.3">fragments</csymbol>
          <ci id="p1.1.m1.1.5.cmml" xref="p1.1.m1.1.5">{</ci>
          <ci id="p1.1.m1.1.6.cmml" xref="p1.1.m1.1.6">|</ci>
          <apply id="p1.1.m1.1.7.cmml" xref="p1.1.m1.1.7">
            <ci id="p1.1.m1.1.7.1.cmml" xref="p1.1.m1.1.7.1">¯</ci>
            <ci id="p1.1.m1.1.7.2.cmml" xref="p1.1.m1.1.7.2">𝑟</ci>
          </apply>
          <ci id="p1.1.m1.1.8.cmml" xref="p1.1.m1.1.8">↑</ci>
          <ci id="p1.1.m1.1.9.cmml" xref="p1.1.m1.1.9">⟩</ci>
        </cerror>
        <cerror id="p1.1.m1.1.26.cmml" xref="p1.1.m1.1.26">
          <csymbol cd="ambiguous" id="p1.1.m1.1.26a.cmml" xref="p1.1.m1.1.26">fragments</csymbol>
          <ci id="p1.1.m1.1.10.cmml" xref="p1.1.m1.1.10">⟨</ci>
          <apply id="p1.1.m1.1.11.cmml" xref="p1.1.m1.1.11">
            <ci id="p1.1.m1.1.11.1.cmml" xref="p1.1.m1.1.11.1">¯</ci>
            <ci id="p1.1.m1.1.11.2.cmml" xref="p1.1.m1.1.11.2">𝑟</ci>
          </apply>
          <ci id="p1.1.m1.1.12.cmml" xref="p1.1.m1.1.12">↑</ci>
          <ci id="p1.1.m1.1.13.cmml" xref="p1.1.m1.1.13">|</ci>
          <plus id="p1.1.m1.1.14.cmml" xref="p1.1.m1.1.14"/>
          <ci id="p1.1.m1.1.15.cmml" xref="p1.1.m1.1.15">|</ci>
          <apply id="p1.1.m1.1.16.cmml" xref="p1.1.m1.1.16">
            <ci id="p1.1.m1.1.16.1.cmml" xref="p1.1.m1.1.16.1">¯</ci>
            <ci id="p1.1.m1.1.16.2.cmml" xref="p1.1.m1.1.16.2">𝑟</ci>
          </apply>
          <ci id="p1.1.m1.1.17.cmml" xref="p1.1.m1.1.17">↓</ci>
          <ci id="p1.1.m1.1.18.cmml" xref="p1.1.m1.1.18">⟩</ci>
        </cerror>
        <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.m1.1.19.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>
          <ci id="p1.1.m1.1.22.cmml" xref="p1.1.m1.1.22">|</ci>
          <ci id="p1.1.m1.1.23.cmml" xref="p1.1.m1.1.23">}</ci>
        </cerror>
        <eq id="p1.1.m1.1.24.cmml" xref="p1.1.m1.1.24"/>
        <cn type="integer" id="p1.1.m1.1.25.cmml" xref="p1.1.m1.1.25">1</cn>
        <ci id="p1.1.m1.1.34.cmml" xref="p1.1.m1.1.34">italic- </ci>
        <in id="p1.1.m1.1.27.cmml" xref="p1.1.m1.1.27"/>
        <apply id="p1.1.m1.1.36.cmml" xref="p1.1.m1.1.36">
          <csymbol cd="ambiguous" id="p1.1.m1.1.36.1.cmml" xref="p1.1.m1.1.36">subscript</csymbol>
          <ci id="p1.1.m1.1.28.cmml" xref="p1.1.m1.1.28">𝐻</ci>
          <ci id="p1.1.m1.1.29.1.cmml" xref="p1.1.m1.1.29.1">𝐵</ci>
        </apply>
        <times id="p1.1.m1.1.30.cmml" xref="p1.1.m1.1.30"/>
        <apply id="p1.1.m1.1.37.cmml" xref="p1.1.m1.1.37">
          <csymbol cd="ambiguous" id="p1.1.m1.1.37.1.cmml" xref="p1.1.m1.1.37">subscript</csymbol>
          <ci id="p1.1.m1.1.31.cmml" xref="p1.1.m1.1.31">𝐻</ci>
          <ci id="p1.1.m1.1.32.1.cmml" xref="p1.1.m1.1.32.1">𝑆</ci>
        </apply>
      </cerror>
    </annotation-xml>
    <annotation encoding="application/x-tex" id="p1.1.m1.1f">{\displaystyle{\displaystyle\int{{{d}^{3}}r\left\{\left|\bar{r}\uparrow\right%
\rangle\left\langle\bar{r}\uparrow\right|+\left|\bar{r}\downarrow\right\rangle%
\left\langle\bar{r}\downarrow\right|\right\}}=1\quad\in{{H}_{B}}\times{{H}_{S}%
}}}</annotation>
  </semantics>
</math>

SVG image empty. Force Re-Rendering

SVG (0 B / 8 B) :


MathML (experimental; no images) rendering

MathML (1.748 KB / 380 B) :

∫d3r{|r¯↑⟩⟨r¯↑|+|r¯↓⟩⟨r¯↓|}=1∈HB×HS
<math class="mwe-math-element" xmlns="http://www.w3.org/1998/Math/MathML"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mstyle displaystyle="true" scriptlevel="0"><munderover><mo texclass="OP">&#x222B;</mo><mrow data-mjx-texclass="ORD"></mrow><mrow data-mjx-texclass="ORD"></mrow></munderover></mstyle><mrow data-mjx-texclass="ORD"><msup><mi>d</mi><mrow data-mjx-texclass="ORD"><mn>3</mn></mrow></msup><mi>r</mi><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">{</mo><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">|</mo><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mover><mi>r</mi><mo>¯</mo></mover></mrow></mrow><mo>&#x2191;</mo><mo data-mjx-texclass="CLOSE">&#x27E9;</mo></mrow><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">&#x27E8;</mo><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mover><mi>r</mi><mo>¯</mo></mover></mrow></mrow><mo>&#x2191;</mo><mo data-mjx-texclass="CLOSE">|</mo></mrow><mo>+</mo><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">|</mo><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mover><mi>r</mi><mo>¯</mo></mover></mrow></mrow><mo>&#x2193;</mo><mo data-mjx-texclass="CLOSE">&#x27E9;</mo></mrow><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">&#x27E8;</mo><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mover><mi>r</mi><mo>¯</mo></mover></mrow></mrow><mo>&#x2193;</mo><mo data-mjx-texclass="CLOSE">|</mo></mrow><mo data-mjx-texclass="CLOSE">}</mo></mrow></mrow><mo>=</mo><mn>1</mn><mspace width="1em"></mspace><mo>&#x2208;</mo><msub><mi>H</mi><mrow data-mjx-texclass="ORD"><mi>B</mi></mrow></msub><mo>&#x00D7;</mo><msub><mi>H</mi><mrow data-mjx-texclass="ORD"><mi>S</mi></mrow></msub></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 Zustände mit Bahn- und Spinvariablen page

Identifiers

  • r
  • r¯
  • r¯
  • r¯
  • r¯
  • HB
  • HS

MathML observations

0results

0results

no statistics present please run the maintenance script ExtractFeatures.php

0 results

0 results

Retrieved from "http://physikerwelt.de:8080/w/index.php?title=Special:FormulaInfo"