Jump to navigation Jump to search

General

Display information for equation id:math.1784.27 on revision:1784

* Page found: Bornsche Näherung (eq math.1784.27)

(force rerendering)

Occurrences on the following pages:

Hash: e45c4b4dffb5e1c7fe580f4e6f7f1279

TeX (original user input): 

\left| \Psi  \right\rangle =\left( 1+\hat{R}+{{{\hat{R}}}^{2}}+{{{\hat{R}}}^{3}}+...... \right)\left| \Phi  \right\rangle

TeX (checked): 

\left|\Psi \right\rangle =\left(1+{\hat {R}}+{{\hat {R}}^{2}}+{{\hat {R}}^{3}}+......\right)\left|\Phi \right\rangle

LaTeXML (experimental; uses MathML) rendering

MathML (6.152 KB / 1.1 KB) :

| Ψ ⟩ = ( 1 + R ^ + R ^ 2 + R ^ 3 + … ⁢ … ) ⁢ | Φ ⟩ ket Ψ 1 ^ 𝑅 superscript ^ 𝑅 2 superscript ^ 𝑅 3 … … ket Φ {\displaystyle{\displaystyle\left|\Psi\right\rangle=\left(1+\hat{R}+{{{\hat{R}% }}^{2}}+{{{\hat{R}}}^{3}}+......\right)\left|\Phi\right\rangle}} 
<math xmlns="http://www.w3.org/1998/Math/MathML" id="p1.1.m1.1" class="ltx_Math" alttext="{\displaystyle{\displaystyle\left|\Psi\right\rangle=\left(1+\hat{R}+{{{\hat{R}%&#10;}}^{2}}+{{{\hat{R}}}^{3}}+......\right)\left|\Phi\right\rangle}}" display="inline">
  <semantics id="p1.1.m1.1a">
    <mrow id="p1.1.m1.1.26" xref="p1.1.m1.1.26.cmml">
      <mrow id="p1.1.m1.1.26.1" xref="p1.1.m1.1.26.1.1.cmml">
        <mo fence="true" id="p1.1.m1.1.1" xref="p1.1.m1.1.26.1.1.1.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.m1.1.26.1.1.1.cmml">⟩</mo>
      </mrow>
      <mo id="p1.1.m1.1.4" xref="p1.1.m1.1.4.cmml">=</mo>
      <mrow id="p1.1.m1.1.26.2" xref="p1.1.m1.1.26.2.cmml">
        <mrow id="p1.1.m1.1.26.2.2" xref="p1.1.m1.1.26.2.2.2.cmml">
          <mo id="p1.1.m1.1.5" xref="p1.1.m1.1.26.2.2.2.cmml">(</mo>
          <mrow id="p1.1.m1.1.26.2.2.2" xref="p1.1.m1.1.26.2.2.2.cmml">
            <mn id="p1.1.m1.1.6" xref="p1.1.m1.1.6.cmml">1</mn>
            <mo id="p1.1.m1.1.7" xref="p1.1.m1.1.7.cmml">+</mo>
            <mover accent="true" id="p1.1.m1.1.8" xref="p1.1.m1.1.8.cmml">
              <mi id="p1.1.m1.1.8.2" xref="p1.1.m1.1.8.2.cmml">R</mi>
              <mo stretchy="false" id="p1.1.m1.1.8.1" xref="p1.1.m1.1.8.1.cmml">^</mo>
            </mover>
            <mo id="p1.1.m1.1.7a" xref="p1.1.m1.1.7.cmml">+</mo>
            <msup id="p1.1.m1.1.26.2.2.2.1" xref="p1.1.m1.1.26.2.2.2.1.cmml">
              <mover accent="true" id="p1.1.m1.1.10" xref="p1.1.m1.1.10.cmml">
                <mi id="p1.1.m1.1.10.2" xref="p1.1.m1.1.10.2.cmml">R</mi>
                <mo stretchy="false" id="p1.1.m1.1.10.1" xref="p1.1.m1.1.10.1.cmml">^</mo>
              </mover>
              <mn id="p1.1.m1.1.11.1" xref="p1.1.m1.1.11.1.cmml">2</mn>
            </msup>
            <mo id="p1.1.m1.1.7b" xref="p1.1.m1.1.7.cmml">+</mo>
            <msup id="p1.1.m1.1.26.2.2.2.2" xref="p1.1.m1.1.26.2.2.2.2.cmml">
              <mover accent="true" id="p1.1.m1.1.13" xref="p1.1.m1.1.13.cmml">
                <mi id="p1.1.m1.1.13.2" xref="p1.1.m1.1.13.2.cmml">R</mi>
                <mo stretchy="false" id="p1.1.m1.1.13.1" xref="p1.1.m1.1.13.1.cmml">^</mo>
              </mover>
              <mn id="p1.1.m1.1.14.1" xref="p1.1.m1.1.14.1.cmml">3</mn>
            </msup>
            <mo id="p1.1.m1.1.7c" xref="p1.1.m1.1.7.cmml">+</mo>
            <mrow id="p1.1.m1.1.26.2.2.2.3" xref="p1.1.m1.1.26.2.2.2.3.cmml">
              <mi mathvariant="normal" id="p1.1.m1.1.18" xref="p1.1.m1.1.18.cmml">…</mi>
              <mo id="p1.1.m1.1.26.2.2.2.3.1" xref="p1.1.m1.1.26.2.2.2.3.1.cmml">⁢</mo>
              <mi mathvariant="normal" id="p1.1.m1.1.21" xref="p1.1.m1.1.21.cmml">…</mi>
            </mrow>
          </mrow>
          <mo id="p1.1.m1.1.22" xref="p1.1.m1.1.26.2.2.2.cmml">)</mo>
        </mrow>
        <mo id="p1.1.m1.1.26.2.1" xref="p1.1.m1.1.26.2.1.cmml">⁢</mo>
        <mrow id="p1.1.m1.1.26.2.3" xref="p1.1.m1.1.26.2.3.1.cmml">
          <mo fence="true" id="p1.1.m1.1.23" xref="p1.1.m1.1.26.2.3.1.1.cmml">|</mo>
          <mi mathvariant="normal" id="p1.1.m1.1.24" xref="p1.1.m1.1.24.cmml">Φ</mi>
          <mo id="p1.1.m1.1.25" xref="p1.1.m1.1.26.2.3.1.1.cmml">⟩</mo>
        </mrow>
      </mrow>
    </mrow>
    <annotation-xml encoding="MathML-Content" id="p1.1.m1.1b">
      <apply id="p1.1.m1.1.26.cmml" xref="p1.1.m1.1.26">
        <eq id="p1.1.m1.1.4.cmml" xref="p1.1.m1.1.4"/>
        <apply id="p1.1.m1.1.26.1.1.cmml" xref="p1.1.m1.1.26.1">
          <csymbol cd="latexml" id="p1.1.m1.1.26.1.1.1.cmml" xref="p1.1.m1.1.1">ket</csymbol>
          <ci id="p1.1.m1.1.2.cmml" xref="p1.1.m1.1.2">Ψ</ci>
        </apply>
        <apply id="p1.1.m1.1.26.2.cmml" xref="p1.1.m1.1.26.2">
          <times id="p1.1.m1.1.26.2.1.cmml" xref="p1.1.m1.1.26.2.1"/>
          <apply id="p1.1.m1.1.26.2.2.2.cmml" xref="p1.1.m1.1.26.2.2">
            <plus id="p1.1.m1.1.7.cmml" xref="p1.1.m1.1.7"/>
            <cn type="integer" id="p1.1.m1.1.6.cmml" xref="p1.1.m1.1.6">1</cn>
            <apply id="p1.1.m1.1.8.cmml" xref="p1.1.m1.1.8">
              <ci id="p1.1.m1.1.8.1.cmml" xref="p1.1.m1.1.8.1">^</ci>
              <ci id="p1.1.m1.1.8.2.cmml" xref="p1.1.m1.1.8.2">𝑅</ci>
            </apply>
            <apply id="p1.1.m1.1.26.2.2.2.1.cmml" xref="p1.1.m1.1.26.2.2.2.1">
              <csymbol cd="ambiguous" id="p1.1.m1.1.26.2.2.2.1.1.cmml" xref="p1.1.m1.1.26.2.2.2.1">superscript</csymbol>
              <apply id="p1.1.m1.1.10.cmml" xref="p1.1.m1.1.10">
                <ci id="p1.1.m1.1.10.1.cmml" xref="p1.1.m1.1.10.1">^</ci>
                <ci id="p1.1.m1.1.10.2.cmml" xref="p1.1.m1.1.10.2">𝑅</ci>
              </apply>
              <cn type="integer" id="p1.1.m1.1.11.1.cmml" xref="p1.1.m1.1.11.1">2</cn>
            </apply>
            <apply id="p1.1.m1.1.26.2.2.2.2.cmml" xref="p1.1.m1.1.26.2.2.2.2">
              <csymbol cd="ambiguous" id="p1.1.m1.1.26.2.2.2.2.1.cmml" xref="p1.1.m1.1.26.2.2.2.2">superscript</csymbol>
              <apply id="p1.1.m1.1.13.cmml" xref="p1.1.m1.1.13">
                <ci id="p1.1.m1.1.13.1.cmml" xref="p1.1.m1.1.13.1">^</ci>
                <ci id="p1.1.m1.1.13.2.cmml" xref="p1.1.m1.1.13.2">𝑅</ci>
              </apply>
              <cn type="integer" id="p1.1.m1.1.14.1.cmml" xref="p1.1.m1.1.14.1">3</cn>
            </apply>
            <apply id="p1.1.m1.1.26.2.2.2.3.cmml" xref="p1.1.m1.1.26.2.2.2.3">
              <times id="p1.1.m1.1.26.2.2.2.3.1.cmml" xref="p1.1.m1.1.26.2.2.2.3.1"/>
              <ci id="p1.1.m1.1.18.cmml" xref="p1.1.m1.1.18">…</ci>
              <ci id="p1.1.m1.1.21.cmml" xref="p1.1.m1.1.21">…</ci>
            </apply>
          </apply>
          <apply id="p1.1.m1.1.26.2.3.1.cmml" xref="p1.1.m1.1.26.2.3">
            <csymbol cd="latexml" id="p1.1.m1.1.26.2.3.1.1.cmml" xref="p1.1.m1.1.23">ket</csymbol>
            <ci id="p1.1.m1.1.24.cmml" xref="p1.1.m1.1.24">Φ</ci>
          </apply>
        </apply>
      </apply>
    </annotation-xml>
    <annotation encoding="application/x-tex" id="p1.1.m1.1c">{\displaystyle{\displaystyle\left|\Psi\right\rangle=\left(1+\hat{R}+{{{\hat{R}%
}}^{2}}+{{{\hat{R}}}^{3}}+......\right)\left|\Phi\right\rangle}}</annotation>
  </semantics>
</math>

SVG image empty. Force Re-Rendering

SVG (0 B / 8 B) :


MathML (experimental; no images) rendering

MathML (1.131 KB / 298 B) :

|Ψ⟩=(1+R^+R^2+R^3+......)|Φ⟩
<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">|</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">(</mo><mn>1</mn><mo>+</mo><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mover><mi>R</mi><mo>^</mo></mover></mrow></mrow><mo>+</mo><msup><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mover><mi>R</mi><mo>^</mo></mover></mrow></mrow><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msup><mo>+</mo><msup><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mover><mi>R</mi><mo>^</mo></mover></mrow></mrow><mrow data-mjx-texclass="ORD"><mn>3</mn></mrow></msup><mo>+</mo><mo>.</mo><mo>.</mo><mo>.</mo><mo>.</mo><mo>.</mo><mo>.</mo><mo data-mjx-texclass="CLOSE">)</mo></mrow><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">|</mo><mi mathvariant="normal">&#x03A6;</mi><mo data-mjx-texclass="CLOSE">&#x27E9;</mo></mrow></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 Bornsche Näherung page

Identifiers

  • Ψ
  • R^
  • R^
  • R^
  • Φ

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"