Zur Navigation springen Zur Suche springen

General

Display information for equation id:math.1619.50 on revision:1619

* Page found: Zustandsvektoren im Hilbertraum (eq math.1619.50)

(force rerendering)

Occurrences on the following pages:

Hash: 086d1a2fbaf2cbf014a266c5ce58369f

TeX (original user input): 

\left\langle  {{\Psi }_{1}} | {{\Psi }_{2}} \right\rangle ,\left\| {{\Psi }_{1}} \right\|>0\left\| {{\Psi }_{2}} \right\|>0\quad \Rightarrow

LaTeXML (experimentell; verwendet MathML) rendering

MathML (6.643 KB / 1.118 KB) :

⟨ Ψ 1 | Ψ 2 ⟩ , ∥ Ψ 1 ∥ > 0 ⁢ ∥ Ψ 2 ∥ > 0   ⇒ formulae-sequence inner-product subscript Ψ 1 subscript Ψ 2 norm subscript Ψ 1 0 norm subscript Ψ 2 0 ⇒ {\displaystyle{\displaystyle\left\langle{{\Psi}_{1}}|{{\Psi}_{2}}\right\rangle% ,\left\|{{\Psi}_{1}}\right\|>0\left\|{{\Psi}_{2}}\right\|>0\quad\Rightarrow}} 
<math xmlns="http://www.w3.org/1998/Math/MathML" id="p1.1.m1.1" class="ltx_Math" alttext="{\displaystyle{\displaystyle\left\langle{{\Psi}_{1}}|{{\Psi}_{2}}\right\rangle%&#10;,\left\|{{\Psi}_{1}}\right\|&gt;0\left\|{{\Psi}_{2}}\right\|&gt;0\quad\Rightarrow}}" display="inline">
  <semantics id="p1.1.m1.1a">
    <mrow id="p1.1.m1.1.24" xref="p1.1.m1.1.24.1.cmml">
      <mrow id="p1.1.m1.1.24.2" xref="p1.1.m1.1.24.2.cmml">
        <mrow id="p1.1.m1.1.24.2.2" xref="p1.1.m1.1.24.2.2.1.cmml">
          <mrow id="p1.1.m1.1.24.2.2.2" xref="p1.1.m1.1.24.2.2.2.1.cmml">
            <mo id="p1.1.m1.1.1" xref="p1.1.m1.1.24.2.2.2.1.1.cmml">⟨</mo>
            <msub id="p1.1.m1.1.24.2.2.2.2" xref="p1.1.m1.1.24.2.2.2.2.cmml">
              <mi mathvariant="normal" id="p1.1.m1.1.2" xref="p1.1.m1.1.2.cmml">Ψ</mi>
              <mn id="p1.1.m1.1.3.1" xref="p1.1.m1.1.3.1.cmml">1</mn>
            </msub>
            <mo stretchy="false" id="p1.1.m1.1.4" xref="p1.1.m1.1.24.2.2.2.1.1.cmml">|</mo>
            <msub id="p1.1.m1.1.24.2.2.2.3" xref="p1.1.m1.1.24.2.2.2.3.cmml">
              <mi mathvariant="normal" id="p1.1.m1.1.5" xref="p1.1.m1.1.5.cmml">Ψ</mi>
              <mn id="p1.1.m1.1.6.1" xref="p1.1.m1.1.6.1.cmml">2</mn>
            </msub>
            <mo id="p1.1.m1.1.7" xref="p1.1.m1.1.24.2.2.2.1.1.cmml">⟩</mo>
          </mrow>
          <mo id="p1.1.m1.1.8" xref="p1.1.m1.1.24.2.2.1.cmml">,</mo>
          <mrow id="p1.1.m1.1.24.2.2.3" xref="p1.1.m1.1.24.2.2.3.1.cmml">
            <mo id="p1.1.m1.1.9" xref="p1.1.m1.1.24.2.2.3.1.1.cmml">∥</mo>
            <msub id="p1.1.m1.1.24.2.2.3.2" xref="p1.1.m1.1.24.2.2.3.2.cmml">
              <mi mathvariant="normal" id="p1.1.m1.1.10" xref="p1.1.m1.1.10.cmml">Ψ</mi>
              <mn id="p1.1.m1.1.11.1" xref="p1.1.m1.1.11.1.cmml">1</mn>
            </msub>
            <mo id="p1.1.m1.1.12" xref="p1.1.m1.1.24.2.2.3.1.1.cmml">∥</mo>
          </mrow>
        </mrow>
        <mo id="p1.1.m1.1.13" xref="p1.1.m1.1.13.cmml">&gt;</mo>
        <mrow id="p1.1.m1.1.24.2.3" xref="p1.1.m1.1.24.2.3.cmml">
          <mn id="p1.1.m1.1.14" xref="p1.1.m1.1.14.cmml">0</mn>
          <mo id="p1.1.m1.1.24.2.3.1" xref="p1.1.m1.1.24.2.3.1.cmml">⁢</mo>
          <mrow id="p1.1.m1.1.24.2.3.2" xref="p1.1.m1.1.24.2.3.2.1.cmml">
            <mo id="p1.1.m1.1.15" xref="p1.1.m1.1.24.2.3.2.1.1.cmml">∥</mo>
            <msub id="p1.1.m1.1.24.2.3.2.2" xref="p1.1.m1.1.24.2.3.2.2.cmml">
              <mi mathvariant="normal" id="p1.1.m1.1.16" xref="p1.1.m1.1.16.cmml">Ψ</mi>
              <mn id="p1.1.m1.1.17.1" xref="p1.1.m1.1.17.1.cmml">2</mn>
            </msub>
            <mo id="p1.1.m1.1.18" xref="p1.1.m1.1.24.2.3.2.1.1.cmml">∥</mo>
          </mrow>
        </mrow>
        <mo id="p1.1.m1.1.19" xref="p1.1.m1.1.19.cmml">&gt;</mo>
        <mn id="p1.1.m1.1.20" xref="p1.1.m1.1.20.cmml">0</mn>
      </mrow>
      <mo mathvariant="italic" separator="true" id="p1.1.m1.1.23" xref="p1.1.m1.1.24.1a.cmml"> </mo>
      <mo id="p1.1.m1.1.22" xref="p1.1.m1.1.22.cmml">⇒</mo>
    </mrow>
    <annotation-xml encoding="MathML-Content" id="p1.1.m1.1b">
      <apply id="p1.1.m1.1.24.1.cmml" xref="p1.1.m1.1.24">
        <csymbol cd="ambiguous" id="p1.1.m1.1.24.1a.cmml" xref="p1.1.m1.1.23">formulae-sequence</csymbol>
        <apply id="p1.1.m1.1.24.2.cmml" xref="p1.1.m1.1.24.2">
          <and id="p1.1.m1.1.24.2a.cmml" xref="p1.1.m1.1.24.2"/>
          <apply id="p1.1.m1.1.24.2b.cmml" xref="p1.1.m1.1.24.2">
            <gt id="p1.1.m1.1.13.cmml" xref="p1.1.m1.1.13"/>
            <list id="p1.1.m1.1.24.2.2.1.cmml" xref="p1.1.m1.1.24.2.2">
              <apply id="p1.1.m1.1.24.2.2.2.1.cmml" xref="p1.1.m1.1.24.2.2.2">
                <csymbol cd="latexml" id="p1.1.m1.1.24.2.2.2.1.1.cmml" xref="p1.1.m1.1.1">inner-product</csymbol>
                <apply id="p1.1.m1.1.24.2.2.2.2.cmml" xref="p1.1.m1.1.24.2.2.2.2">
                  <csymbol cd="ambiguous" id="p1.1.m1.1.24.2.2.2.2.1.cmml" xref="p1.1.m1.1.24.2.2.2.2">subscript</csymbol>
                  <ci id="p1.1.m1.1.2.cmml" xref="p1.1.m1.1.2">Ψ</ci>
                  <cn type="integer" id="p1.1.m1.1.3.1.cmml" xref="p1.1.m1.1.3.1">1</cn>
                </apply>
                <apply id="p1.1.m1.1.24.2.2.2.3.cmml" xref="p1.1.m1.1.24.2.2.2.3">
                  <csymbol cd="ambiguous" id="p1.1.m1.1.24.2.2.2.3.1.cmml" xref="p1.1.m1.1.24.2.2.2.3">subscript</csymbol>
                  <ci id="p1.1.m1.1.5.cmml" xref="p1.1.m1.1.5">Ψ</ci>
                  <cn type="integer" id="p1.1.m1.1.6.1.cmml" xref="p1.1.m1.1.6.1">2</cn>
                </apply>
              </apply>
              <apply id="p1.1.m1.1.24.2.2.3.1.cmml" xref="p1.1.m1.1.24.2.2.3">
                <csymbol cd="latexml" id="p1.1.m1.1.24.2.2.3.1.1.cmml" xref="p1.1.m1.1.9">norm</csymbol>
                <apply id="p1.1.m1.1.24.2.2.3.2.cmml" xref="p1.1.m1.1.24.2.2.3.2">
                  <csymbol cd="ambiguous" id="p1.1.m1.1.24.2.2.3.2.1.cmml" xref="p1.1.m1.1.24.2.2.3.2">subscript</csymbol>
                  <ci id="p1.1.m1.1.10.cmml" xref="p1.1.m1.1.10">Ψ</ci>
                  <cn type="integer" id="p1.1.m1.1.11.1.cmml" xref="p1.1.m1.1.11.1">1</cn>
                </apply>
              </apply>
            </list>
            <apply id="p1.1.m1.1.24.2.3.cmml" xref="p1.1.m1.1.24.2.3">
              <times id="p1.1.m1.1.24.2.3.1.cmml" xref="p1.1.m1.1.24.2.3.1"/>
              <cn type="integer" id="p1.1.m1.1.14.cmml" xref="p1.1.m1.1.14">0</cn>
              <apply id="p1.1.m1.1.24.2.3.2.1.cmml" xref="p1.1.m1.1.24.2.3.2">
                <csymbol cd="latexml" id="p1.1.m1.1.24.2.3.2.1.1.cmml" xref="p1.1.m1.1.15">norm</csymbol>
                <apply id="p1.1.m1.1.24.2.3.2.2.cmml" xref="p1.1.m1.1.24.2.3.2.2">
                  <csymbol cd="ambiguous" id="p1.1.m1.1.24.2.3.2.2.1.cmml" xref="p1.1.m1.1.24.2.3.2.2">subscript</csymbol>
                  <ci id="p1.1.m1.1.16.cmml" xref="p1.1.m1.1.16">Ψ</ci>
                  <cn type="integer" id="p1.1.m1.1.17.1.cmml" xref="p1.1.m1.1.17.1">2</cn>
                </apply>
              </apply>
            </apply>
          </apply>
          <apply id="p1.1.m1.1.24.2c.cmml" xref="p1.1.m1.1.24.2">
            <gt id="p1.1.m1.1.19.cmml" xref="p1.1.m1.1.19"/>
            <share href="#p1.1.m1.1.24.2.3.cmml" id="p1.1.m1.1.24.2d.cmml" xref="p1.1.m1.1.24.2"/>
            <cn type="integer" id="p1.1.m1.1.20.cmml" xref="p1.1.m1.1.20">0</cn>
          </apply>
        </apply>
        <ci id="p1.1.m1.1.22.cmml" xref="p1.1.m1.1.22">⇒</ci>
      </apply>
    </annotation-xml>
    <annotation encoding="application/x-tex" id="p1.1.m1.1c">{\displaystyle{\displaystyle\left\langle{{\Psi}_{1}}|{{\Psi}_{2}}\right\rangle%
,\left\|{{\Psi}_{1}}\right\|&gt;0\left\|{{\Psi}_{2}}\right\|&gt;0\quad\Rightarrow}}</annotation>
  </semantics>
</math>

SVG image empty. Force Re-Rendering

SVG (0 B / 8 B) :


MathML (experimentell; keine Bilder) rendering

MathML (1.022 KB / 298 B) :

⟨Ψ1|Ψ2⟩,‖Ψ1‖>0‖Ψ2‖>0⇒
<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><msub><mi mathvariant="normal">&#x03A8;</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub><mo>|</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><mo>,</mo><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">&#x2016;</mo><msub><mi mathvariant="normal">&#x03A8;</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub><mo data-mjx-texclass="CLOSE">&#x2016;</mo></mrow><mo>&gt;</mo><mn>0</mn><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">&#x2016;</mo><msub><mi mathvariant="normal">&#x03A8;</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub><mo data-mjx-texclass="CLOSE">&#x2016;</mo></mrow><mo>&gt;</mo><mn>0</mn><mspace width="1em"></mspace><mo>&#x21D2;</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 Zustandsvektoren im Hilbertraum page

Identifiers

MathML observations

0results

0results

no statistics present please run the maintenance script ExtractFeatures.php

0 results

0 results

Abgerufen von „https://wiki.physikerwelt.de/wiki/Spezial:Formelinformation“