Jump to navigation Jump to search

General

Display information for equation id:math.1639.15 on revision:1639

* Page found: Die Quantisierung (eq math.1639.15)

(force rerendering)

Occurrences on the following pages:

Hash: 3de0a719b8cb604b4551d7ca04c1587e

TeX (original user input): 

{{\hat{P}}_{\Psi }}\left| \Phi  \right\rangle =\left| \Psi  \right\rangle \left\langle  \Psi   |  \Phi  \right\rangle =c\left| \Psi  \right\rangle

LaTeXML (experimental; uses MathML) rendering

MathML (5.736 KB / 1.014 KB) :

P ^ Ψ ⁢ | Φ ⟩ = | Ψ ⟩ ⁢ ⟨ Ψ | Φ ⟩ = c ⁢ | Ψ ⟩ subscript ^ 𝑃 Ψ ket Φ ket Ψ inner-product Ψ Φ 𝑐 ket Ψ {\displaystyle{\displaystyle{{\hat{P}}_{\Psi}}\left|\Phi\right\rangle=\left|% \Psi\right\rangle\left\langle\Psi|\Phi\right\rangle=c\left|\Psi\right\rangle}} 
<math xmlns="http://www.w3.org/1998/Math/MathML" id="p1.1.m1.1" class="ltx_Math" alttext="{\displaystyle{\displaystyle{{\hat{P}}_{\Psi}}\left|\Phi\right\rangle=\left|%&#10;\Psi\right\rangle\left\langle\Psi|\Phi\right\rangle=c\left|\Psi\right\rangle}}" display="inline">
  <semantics id="p1.1.m1.1a">
    <mrow id="p1.1.m1.1.20" xref="p1.1.m1.1.20.cmml">
      <mrow id="p1.1.m1.1.20.2" xref="p1.1.m1.1.20.2.cmml">
        <msub id="p1.1.m1.1.20.2.2" xref="p1.1.m1.1.20.2.2.cmml">
          <mover accent="true" id="p1.1.m1.1.1" xref="p1.1.m1.1.1.cmml">
            <mi id="p1.1.m1.1.1.2" xref="p1.1.m1.1.1.2.cmml">P</mi>
            <mo stretchy="false" id="p1.1.m1.1.1.1" xref="p1.1.m1.1.1.1.cmml">^</mo>
          </mover>
          <mi mathvariant="normal" id="p1.1.m1.1.2.1" xref="p1.1.m1.1.2.1.cmml">Ψ</mi>
        </msub>
        <mo id="p1.1.m1.1.20.2.1" xref="p1.1.m1.1.20.2.1.cmml">⁢</mo>
        <mrow id="p1.1.m1.1.20.2.3" xref="p1.1.m1.1.20.2.3.1.cmml">
          <mo fence="true" id="p1.1.m1.1.3" xref="p1.1.m1.1.20.2.3.1.1.cmml">|</mo>
          <mi mathvariant="normal" id="p1.1.m1.1.4" xref="p1.1.m1.1.4.cmml">Φ</mi>
          <mo id="p1.1.m1.1.5" xref="p1.1.m1.1.20.2.3.1.1.cmml">⟩</mo>
        </mrow>
      </mrow>
      <mo id="p1.1.m1.1.6" xref="p1.1.m1.1.6.cmml">=</mo>
      <mrow id="p1.1.m1.1.20.3" xref="p1.1.m1.1.20.3.cmml">
        <mrow id="p1.1.m1.1.20.3.2" xref="p1.1.m1.1.20.3.2.1.cmml">
          <mo fence="true" id="p1.1.m1.1.7" xref="p1.1.m1.1.20.3.2.1.1.cmml">|</mo>
          <mi mathvariant="normal" id="p1.1.m1.1.8" xref="p1.1.m1.1.8.cmml">Ψ</mi>
          <mo id="p1.1.m1.1.9" xref="p1.1.m1.1.20.3.2.1.1.cmml">⟩</mo>
        </mrow>
        <mo id="p1.1.m1.1.20.3.1" xref="p1.1.m1.1.20.3.1.cmml">⁢</mo>
        <mrow id="p1.1.m1.1.20.3.3" xref="p1.1.m1.1.20.3.3.1.cmml">
          <mo id="p1.1.m1.1.10" xref="p1.1.m1.1.20.3.3.1.1.cmml">⟨</mo>
          <mi mathvariant="normal" id="p1.1.m1.1.11" xref="p1.1.m1.1.11.cmml">Ψ</mi>
          <mo stretchy="false" id="p1.1.m1.1.12" xref="p1.1.m1.1.20.3.3.1.1.cmml">|</mo>
          <mi mathvariant="normal" id="p1.1.m1.1.13" xref="p1.1.m1.1.13.cmml">Φ</mi>
          <mo id="p1.1.m1.1.14" xref="p1.1.m1.1.20.3.3.1.1.cmml">⟩</mo>
        </mrow>
      </mrow>
      <mo id="p1.1.m1.1.15" xref="p1.1.m1.1.15.cmml">=</mo>
      <mrow id="p1.1.m1.1.20.4" xref="p1.1.m1.1.20.4.cmml">
        <mi id="p1.1.m1.1.16" xref="p1.1.m1.1.16.cmml">c</mi>
        <mo id="p1.1.m1.1.20.4.1" xref="p1.1.m1.1.20.4.1.cmml">⁢</mo>
        <mrow id="p1.1.m1.1.20.4.2" xref="p1.1.m1.1.20.4.2.1.cmml">
          <mo fence="true" id="p1.1.m1.1.17" xref="p1.1.m1.1.20.4.2.1.1.cmml">|</mo>
          <mi mathvariant="normal" id="p1.1.m1.1.18" xref="p1.1.m1.1.18.cmml">Ψ</mi>
          <mo id="p1.1.m1.1.19" xref="p1.1.m1.1.20.4.2.1.1.cmml">⟩</mo>
        </mrow>
      </mrow>
    </mrow>
    <annotation-xml encoding="MathML-Content" id="p1.1.m1.1b">
      <apply id="p1.1.m1.1.20.cmml" xref="p1.1.m1.1.20">
        <and id="p1.1.m1.1.20a.cmml" xref="p1.1.m1.1.20"/>
        <apply id="p1.1.m1.1.20b.cmml" xref="p1.1.m1.1.20">
          <eq id="p1.1.m1.1.6.cmml" xref="p1.1.m1.1.6"/>
          <apply id="p1.1.m1.1.20.2.cmml" xref="p1.1.m1.1.20.2">
            <times id="p1.1.m1.1.20.2.1.cmml" xref="p1.1.m1.1.20.2.1"/>
            <apply id="p1.1.m1.1.20.2.2.cmml" xref="p1.1.m1.1.20.2.2">
              <csymbol cd="ambiguous" id="p1.1.m1.1.20.2.2.1.cmml" xref="p1.1.m1.1.20.2.2">subscript</csymbol>
              <apply id="p1.1.m1.1.1.cmml" xref="p1.1.m1.1.1">
                <ci id="p1.1.m1.1.1.1.cmml" xref="p1.1.m1.1.1.1">^</ci>
                <ci id="p1.1.m1.1.1.2.cmml" xref="p1.1.m1.1.1.2">𝑃</ci>
              </apply>
              <ci id="p1.1.m1.1.2.1.cmml" xref="p1.1.m1.1.2.1">Ψ</ci>
            </apply>
            <apply id="p1.1.m1.1.20.2.3.1.cmml" xref="p1.1.m1.1.20.2.3">
              <csymbol cd="latexml" id="p1.1.m1.1.20.2.3.1.1.cmml" xref="p1.1.m1.1.3">ket</csymbol>
              <ci id="p1.1.m1.1.4.cmml" xref="p1.1.m1.1.4">Φ</ci>
            </apply>
          </apply>
          <apply id="p1.1.m1.1.20.3.cmml" xref="p1.1.m1.1.20.3">
            <times id="p1.1.m1.1.20.3.1.cmml" xref="p1.1.m1.1.20.3.1"/>
            <apply id="p1.1.m1.1.20.3.2.1.cmml" xref="p1.1.m1.1.20.3.2">
              <csymbol cd="latexml" id="p1.1.m1.1.20.3.2.1.1.cmml" xref="p1.1.m1.1.7">ket</csymbol>
              <ci id="p1.1.m1.1.8.cmml" xref="p1.1.m1.1.8">Ψ</ci>
            </apply>
            <apply id="p1.1.m1.1.20.3.3.1.cmml" xref="p1.1.m1.1.20.3.3">
              <csymbol cd="latexml" id="p1.1.m1.1.20.3.3.1.1.cmml" xref="p1.1.m1.1.10">inner-product</csymbol>
              <ci id="p1.1.m1.1.11.cmml" xref="p1.1.m1.1.11">Ψ</ci>
              <ci id="p1.1.m1.1.13.cmml" xref="p1.1.m1.1.13">Φ</ci>
            </apply>
          </apply>
        </apply>
        <apply id="p1.1.m1.1.20c.cmml" xref="p1.1.m1.1.20">
          <eq id="p1.1.m1.1.15.cmml" xref="p1.1.m1.1.15"/>
          <share href="#p1.1.m1.1.20.3.cmml" id="p1.1.m1.1.20d.cmml" xref="p1.1.m1.1.20"/>
          <apply id="p1.1.m1.1.20.4.cmml" xref="p1.1.m1.1.20.4">
            <times id="p1.1.m1.1.20.4.1.cmml" xref="p1.1.m1.1.20.4.1"/>
            <ci id="p1.1.m1.1.16.cmml" xref="p1.1.m1.1.16">𝑐</ci>
            <apply id="p1.1.m1.1.20.4.2.1.cmml" xref="p1.1.m1.1.20.4.2">
              <csymbol cd="latexml" id="p1.1.m1.1.20.4.2.1.1.cmml" xref="p1.1.m1.1.17">ket</csymbol>
              <ci id="p1.1.m1.1.18.cmml" xref="p1.1.m1.1.18">Ψ</ci>
            </apply>
          </apply>
        </apply>
      </apply>
    </annotation-xml>
    <annotation encoding="application/x-tex" id="p1.1.m1.1c">{\displaystyle{\displaystyle{{\hat{P}}_{\Psi}}\left|\Phi\right\rangle=\left|%
\Psi\right\rangle\left\langle\Psi|\Phi\right\rangle=c\left|\Psi\right\rangle}}</annotation>
  </semantics>
</math>

SVG image empty. Force Re-Rendering

SVG (0 B / 8 B) :


MathML (experimental; no images) rendering

MathML (1.048 KB / 282 B) :

P^Ψ|Φ⟩=|Ψ⟩⟨Ψ|Φ⟩=c|Ψ⟩
<math class="mwe-math-element" xmlns="http://www.w3.org/1998/Math/MathML"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mover><mi>P</mi><mo>^</mo></mover></mrow></mrow><mrow data-mjx-texclass="ORD"><mi mathvariant="normal">&#x03A8;</mi></mrow></msub></mstyle><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>=</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><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">&#x27E8;</mo><mi mathvariant="normal">&#x03A8;</mi><mo>|</mo><mi mathvariant="normal">&#x03A6;</mi><mo data-mjx-texclass="CLOSE">&#x27E9;</mo></mrow><mo>=</mo><mi>c</mi><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">|</mo><mi mathvariant="normal">&#x03A8;</mi><mo data-mjx-texclass="CLOSE">&#x27E9;</mo></mrow></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 Die Quantisierung page

Identifiers

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"