Jump to navigation Jump to search

General

Display information for equation id:math.2707.97 on revision:2707

* Page found: Formaler Aufbau der Quantenmechanik (eq math.2707.97)

(force rerendering)

Occurrences on the following pages:

Hash: 8d92d34450f7b0a1bcb9fc14f2165e66

TeX (original user input): 

{{\hat{H}}_{0}}={{\varepsilon }_{L}}\left| L \right\rangle \left\langle  L \right|+{{\varepsilon }_{R}}\left| R \right\rangle \left\langle  R \right|

TeX (checked): 

{{\hat {H}}_{0}}={{\varepsilon }_{L}}\left|L\right\rangle \left\langle L\right|+{{\varepsilon }_{R}}\left|R\right\rangle \left\langle R\right|

LaTeXML (experimental; uses MathML) rendering

MathML (5.563 KB / 1.054 KB) :

H ^ 0 = ε L ⁢ | L ⟩ ⁢ ⟨ L | + ε R | R ⟩ ⁢ ⟨ R | subscript ^ 𝐻 0 subscript 𝜀 𝐿 ket 𝐿 quantum-operator-product 𝐿 subscript 𝜀 𝑅 𝑅 bra 𝑅 {\displaystyle{\displaystyle{{\hat{H}}_{0}}={{\varepsilon}_{L}}\left|L\right% \rangle\left\langle L\right|+{{\varepsilon}_{R}}\left|R\right\rangle\left% \langle R\right|}} 
<math xmlns="http://www.w3.org/1998/Math/MathML" id="p1.1.m1.1" class="ltx_Math" alttext="{\displaystyle{\displaystyle{{\hat{H}}_{0}}={{\varepsilon}_{L}}\left|L\right%&#10;\rangle\left\langle L\right|+{{\varepsilon}_{R}}\left|R\right\rangle\left%&#10;\langle R\right|}}" display="inline">
  <semantics id="p1.1.m1.1a">
    <mrow id="p1.1.m1.1.21" xref="p1.1.m1.1.21.cmml">
      <msub id="p1.1.m1.1.21.1" xref="p1.1.m1.1.21.1.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">H</mi>
          <mo stretchy="false" id="p1.1.m1.1.1.1" xref="p1.1.m1.1.1.1.cmml">^</mo>
        </mover>
        <mn id="p1.1.m1.1.2.1" xref="p1.1.m1.1.2.1.cmml">0</mn>
      </msub>
      <mo id="p1.1.m1.1.3" xref="p1.1.m1.1.3.cmml">=</mo>
      <mrow id="p1.1.m1.1.21.2" xref="p1.1.m1.1.21.2.cmml">
        <msub id="p1.1.m1.1.21.2.2" xref="p1.1.m1.1.21.2.2.cmml">
          <mi id="p1.1.m1.1.4" xref="p1.1.m1.1.4.cmml">ε</mi>
          <mi id="p1.1.m1.1.5.1" xref="p1.1.m1.1.5.1.cmml">L</mi>
        </msub>
        <mo id="p1.1.m1.1.21.2.1" xref="p1.1.m1.1.21.2.1.cmml">⁢</mo>
        <mrow id="p1.1.m1.1.21.2.3" xref="p1.1.m1.1.21.2.3.1.cmml">
          <mo fence="true" id="p1.1.m1.1.6" xref="p1.1.m1.1.21.2.3.1.1.cmml">|</mo>
          <mi id="p1.1.m1.1.7" xref="p1.1.m1.1.7.cmml">L</mi>
          <mo id="p1.1.m1.1.8" xref="p1.1.m1.1.21.2.3.1.1.cmml">⟩</mo>
        </mrow>
        <mo id="p1.1.m1.1.21.2.1a" xref="p1.1.m1.1.21.2.1.cmml">⁢</mo>
        <mrow id="p1.1.m1.1.21.2.4" xref="p1.1.m1.1.21.2.4.1.cmml">
          <mo id="p1.1.m1.1.9" xref="p1.1.m1.1.21.2.4.1.1.cmml">⟨</mo>
          <mi id="p1.1.m1.1.10" xref="p1.1.m1.1.10.cmml">L</mi>
          <mo fence="true" id="p1.1.m1.1.11" xref="p1.1.m1.1.21.2.4.1.1.cmml">|</mo>
          <mrow id="p1.1.m1.1.21.2.4.2" xref="p1.1.m1.1.21.2.4.2.cmml">
            <mo id="p1.1.m1.1.12" xref="p1.1.m1.1.12.cmml">+</mo>
            <msub id="p1.1.m1.1.21.2.4.2.1" xref="p1.1.m1.1.21.2.4.2.1.cmml">
              <mi id="p1.1.m1.1.13" xref="p1.1.m1.1.13.cmml">ε</mi>
              <mi id="p1.1.m1.1.14.1" xref="p1.1.m1.1.14.1.cmml">R</mi>
            </msub>
          </mrow>
          <mo fence="true" id="p1.1.m1.1.15" xref="p1.1.m1.1.21.2.4.1.1.cmml">|</mo>
          <mi id="p1.1.m1.1.16" xref="p1.1.m1.1.16.cmml">R</mi>
          <mo id="p1.1.m1.1.17" xref="p1.1.m1.1.21.2.4.1.1.cmml">⟩</mo>
        </mrow>
        <mo id="p1.1.m1.1.21.2.1b" xref="p1.1.m1.1.21.2.1.cmml">⁢</mo>
        <mrow id="p1.1.m1.1.21.2.5" xref="p1.1.m1.1.21.2.5.1.cmml">
          <mo id="p1.1.m1.1.18" xref="p1.1.m1.1.21.2.5.1.1.cmml">⟨</mo>
          <mi id="p1.1.m1.1.19" xref="p1.1.m1.1.19.cmml">R</mi>
          <mo fence="true" id="p1.1.m1.1.20" xref="p1.1.m1.1.21.2.5.1.1.cmml">|</mo>
        </mrow>
      </mrow>
    </mrow>
    <annotation-xml encoding="MathML-Content" id="p1.1.m1.1b">
      <apply id="p1.1.m1.1.21.cmml" xref="p1.1.m1.1.21">
        <eq id="p1.1.m1.1.3.cmml" xref="p1.1.m1.1.3"/>
        <apply id="p1.1.m1.1.21.1.cmml" xref="p1.1.m1.1.21.1">
          <csymbol cd="ambiguous" id="p1.1.m1.1.21.1.1.cmml" xref="p1.1.m1.1.21.1">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">𝐻</ci>
          </apply>
          <cn type="integer" id="p1.1.m1.1.2.1.cmml" xref="p1.1.m1.1.2.1">0</cn>
        </apply>
        <apply id="p1.1.m1.1.21.2.cmml" xref="p1.1.m1.1.21.2">
          <times id="p1.1.m1.1.21.2.1.cmml" xref="p1.1.m1.1.21.2.1"/>
          <apply id="p1.1.m1.1.21.2.2.cmml" xref="p1.1.m1.1.21.2.2">
            <csymbol cd="ambiguous" id="p1.1.m1.1.21.2.2.1.cmml" xref="p1.1.m1.1.21.2.2">subscript</csymbol>
            <ci id="p1.1.m1.1.4.cmml" xref="p1.1.m1.1.4">𝜀</ci>
            <ci id="p1.1.m1.1.5.1.cmml" xref="p1.1.m1.1.5.1">𝐿</ci>
          </apply>
          <apply id="p1.1.m1.1.21.2.3.1.cmml" xref="p1.1.m1.1.21.2.3">
            <csymbol cd="latexml" id="p1.1.m1.1.21.2.3.1.1.cmml" xref="p1.1.m1.1.6">ket</csymbol>
            <ci id="p1.1.m1.1.7.cmml" xref="p1.1.m1.1.7">𝐿</ci>
          </apply>
          <apply id="p1.1.m1.1.21.2.4.1.cmml" xref="p1.1.m1.1.21.2.4">
            <csymbol cd="latexml" id="p1.1.m1.1.21.2.4.1.1.cmml" xref="p1.1.m1.1.9">quantum-operator-product</csymbol>
            <ci id="p1.1.m1.1.10.cmml" xref="p1.1.m1.1.10">𝐿</ci>
            <apply id="p1.1.m1.1.21.2.4.2.cmml" xref="p1.1.m1.1.21.2.4.2">
              <plus id="p1.1.m1.1.12.cmml" xref="p1.1.m1.1.12"/>
              <apply id="p1.1.m1.1.21.2.4.2.1.cmml" xref="p1.1.m1.1.21.2.4.2.1">
                <csymbol cd="ambiguous" id="p1.1.m1.1.21.2.4.2.1.1.cmml" xref="p1.1.m1.1.21.2.4.2.1">subscript</csymbol>
                <ci id="p1.1.m1.1.13.cmml" xref="p1.1.m1.1.13">𝜀</ci>
                <ci id="p1.1.m1.1.14.1.cmml" xref="p1.1.m1.1.14.1">𝑅</ci>
              </apply>
            </apply>
            <ci id="p1.1.m1.1.16.cmml" xref="p1.1.m1.1.16">𝑅</ci>
          </apply>
          <apply id="p1.1.m1.1.21.2.5.1.cmml" xref="p1.1.m1.1.21.2.5">
            <csymbol cd="latexml" id="p1.1.m1.1.21.2.5.1.1.cmml" xref="p1.1.m1.1.18">bra</csymbol>
            <ci id="p1.1.m1.1.19.cmml" xref="p1.1.m1.1.19">𝑅</ci>
          </apply>
        </apply>
      </apply>
    </annotation-xml>
    <annotation encoding="application/x-tex" id="p1.1.m1.1c">{\displaystyle{\displaystyle{{\hat{H}}_{0}}={{\varepsilon}_{L}}\left|L\right%
\rangle\left\langle L\right|+{{\varepsilon}_{R}}\left|R\right\rangle\left%
\langle R\right|}}</annotation>
  </semantics>
</math>

SVG image empty. Force Re-Rendering

SVG (0 B / 8 B) :


MathML (experimental; no images) rendering

MathML (1022 B / 289 B) :

H^0=εL|L⟩⟨L|+εR|R⟩⟨R|
<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>H</mi><mo>^</mo></mover></mrow></mrow><mrow data-mjx-texclass="ORD"><mn>0</mn></mrow></msub></mstyle><mo>=</mo><msub><mi>&#x03B5;</mi><mrow data-mjx-texclass="ORD"><mi>L</mi></mrow></msub><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">|</mo><mi>L</mi><mo data-mjx-texclass="CLOSE">&#x27E9;</mo></mrow><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">&#x27E8;</mo><mi>L</mi><mo data-mjx-texclass="CLOSE">|</mo></mrow><mo>+</mo><msub><mi>&#x03B5;</mi><mrow data-mjx-texclass="ORD"><mi>R</mi></mrow></msub><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">|</mo><mi>R</mi><mo data-mjx-texclass="CLOSE">&#x27E9;</mo></mrow><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">&#x27E8;</mo><mi>R</mi><mo data-mjx-texclass="CLOSE">|</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 Formaler Aufbau der Quantenmechanik page

Identifiers

  • H^0
  • εL
  • L
  • L
  • εR
  • R
  • R

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"