Jump to navigation Jump to search

General

Display information for equation id:math.2705.23 on revision:2705

* Page found: Formaler Aufbau der Quantenmechanik (eq math.2705.23)

(force rerendering)

Occurrences on the following pages:

Hash: 7116099da8e84d957de12c24085fa8a2

TeX (original user input):

-\frac{\hbar }{2m}\Psi '{{'}_{n}}\left( x \right)={{E}_{n}}{{\Psi }_{n}}\left( x \right)

TeX (checked):

-{\frac {\hbar }{2m}}\Psi '{{'}_{n}}\left(x\right)={{E}_{n}}{{\Psi }_{n}}\left(x\right)

LaTeXML (experimental; uses MathML) rendering

MathML (5.763 KB / 1.16 KB) :

- 2 m Ψ ( x ) n = E n Ψ n ( x ) fragments Planck-constant-over-2-pi 2 𝑚 superscript Ψ superscript subscript fragments ( x ) 𝑛 subscript 𝐸 𝑛 subscript Ψ 𝑛 fragments ( x ) {\displaystyle{\displaystyle-\frac{\hbar}{2m}\Psi^{\prime}{{{}^{\prime}}_{n}}% \left(x\right)={{E}_{n}}{{\Psi}_{n}}\left(x\right)}}
<math xmlns="http://www.w3.org/1998/Math/MathML" id="p1.1.m1.1" class="ltx_Math" alttext="{\displaystyle{\displaystyle-\frac{\hbar}{2m}\Psi^{\prime}{{{}^{\prime}}_{n}}%&#10;\left(x\right)={{E}_{n}}{{\Psi}_{n}}\left(x\right)}}" display="inline">
  <semantics id="p1.1.m1.1a">
    <mrow id="p1.1.m1.1b">
      <mo id="p1.1.m1.1.1" xref="p1.1.m1.1.1.cmml">-</mo>
      <mstyle displaystyle="true" id="p1.1.m1.1.2" xref="p1.1.m1.1.2.cmml">
        <mfrac id="p1.1.m1.1.2a" xref="p1.1.m1.1.2.cmml">
          <mi mathvariant="normal" id="p1.1.m1.1.2.2" xref="p1.1.m1.1.2.2.cmml"></mi>
          <mrow id="p1.1.m1.1.2.3" xref="p1.1.m1.1.2.3.cmml">
            <mn id="p1.1.m1.1.2.3.1" xref="p1.1.m1.1.2.3.1.cmml">2</mn>
            <mo id="p1.1.m1.1.2.3.3" xref="p1.1.m1.1.2.3.3.cmml"></mo>
            <mi id="p1.1.m1.1.2.3.2" xref="p1.1.m1.1.2.3.2.cmml">m</mi>
          </mrow>
        </mfrac>
      </mstyle>
      <msup id="p1.1.m1.1.18" xref="p1.1.m1.1.18.cmml">
        <mi mathvariant="normal" id="p1.1.m1.1.3" xref="p1.1.m1.1.3.cmml">Ψ</mi>
        <mo id="p1.1.m1.1.4.1" xref="p1.1.m1.1.4.1.cmml"></mo>
      </msup>
      <mmultiscripts id="p1.1.m1.1.19" xref="p1.1.m1.1.19.cmml">
        <mrow id="p1.1.m1.1.19.2.2" xref="p1.1.m1.1.19.2.2.cmml">
          <mo id="p1.1.m1.1.7" xref="p1.1.m1.1.7.cmml">(</mo>
          <mi id="p1.1.m1.1.8" xref="p1.1.m1.1.8.cmml">x</mi>
          <mo id="p1.1.m1.1.9" xref="p1.1.m1.1.9.cmml">)</mo>
        </mrow>
        <mprescripts id="p1.1.m1.1.19a" xref="p1.1.m1.1.19.cmml"/>
        <none id="p1.1.m1.1.19b" xref="p1.1.m1.1.19.cmml"/>
        <mo id="p1.1.m1.1.5.1" xref="p1.1.m1.1.5.1.cmml"></mo>
        <mi id="p1.1.m1.1.6.1" xref="p1.1.m1.1.6.1.cmml">n</mi>
        <none id="p1.1.m1.1.19c" xref="p1.1.m1.1.19.cmml"/>
      </mmultiscripts>
      <mo id="p1.1.m1.1.10" xref="p1.1.m1.1.10.cmml">=</mo>
      <msub id="p1.1.m1.1.20" xref="p1.1.m1.1.20.cmml">
        <mi id="p1.1.m1.1.11" xref="p1.1.m1.1.11.cmml">E</mi>
        <mi id="p1.1.m1.1.12.1" xref="p1.1.m1.1.12.1.cmml">n</mi>
      </msub>
      <msub id="p1.1.m1.1.21" xref="p1.1.m1.1.21.cmml">
        <mi mathvariant="normal" id="p1.1.m1.1.13" xref="p1.1.m1.1.13.cmml">Ψ</mi>
        <mi id="p1.1.m1.1.14.1" xref="p1.1.m1.1.14.1.cmml">n</mi>
      </msub>
      <mrow id="p1.1.m1.1.4" xref="p1.1.m1.1.4.cmml">
        <mo id="p1.1.m1.1.15" xref="p1.1.m1.1.15.cmml">(</mo>
        <mi id="p1.1.m1.1.16" xref="p1.1.m1.1.16.cmml">x</mi>
        <mo id="p1.1.m1.1.17" xref="p1.1.m1.1.17.cmml">)</mo>
      </mrow>
    </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>
        <minus id="p1.1.m1.1.1.cmml" xref="p1.1.m1.1.1"/>
        <apply id="p1.1.m1.1.2.cmml" xref="p1.1.m1.1.2">
          <divide id="p1.1.m1.1.2.1.cmml" xref="p1.1.m1.1.2"/>
          <csymbol cd="latexml" id="p1.1.m1.1.2.2.cmml" xref="p1.1.m1.1.2.2">Planck-constant-over-2-pi</csymbol>
          <apply id="p1.1.m1.1.2.3.cmml" xref="p1.1.m1.1.2.3">
            <times id="p1.1.m1.1.2.3.3.cmml" xref="p1.1.m1.1.2.3.3"/>
            <cn type="integer" id="p1.1.m1.1.2.3.1.cmml" xref="p1.1.m1.1.2.3.1">2</cn>
            <ci id="p1.1.m1.1.2.3.2.cmml" xref="p1.1.m1.1.2.3.2">𝑚</ci>
          </apply>
        </apply>
        <apply id="p1.1.m1.1.18.cmml" xref="p1.1.m1.1.18">
          <csymbol cd="ambiguous" id="p1.1.m1.1.18.1.cmml" xref="p1.1.m1.1.18">superscript</csymbol>
          <ci id="p1.1.m1.1.3.cmml" xref="p1.1.m1.1.3">Ψ</ci>
          <ci id="p1.1.m1.1.4.1.cmml" xref="p1.1.m1.1.4.1"></ci>
        </apply>
        <apply id="p1.1.m1.1.19.cmml" xref="p1.1.m1.1.19">
          <csymbol cd="ambiguous" id="p1.1.m1.1.19.1.cmml" xref="p1.1.m1.1.19">superscript</csymbol>
          <apply id="p1.1.m1.1.19.2.cmml" xref="p1.1.m1.1.19">
            <csymbol cd="ambiguous" id="p1.1.m1.1.19.2.1.cmml" xref="p1.1.m1.1.19">subscript</csymbol>
            <cerror id="p1.1.m1.1.19.2.2.cmml" xref="p1.1.m1.1.19.2.2">
              <csymbol cd="ambiguous" id="p1.1.m1.1.19.2.2a.cmml" xref="p1.1.m1.1.19.2.2">fragments</csymbol>
              <ci id="p1.1.m1.1.7.cmml" xref="p1.1.m1.1.7">(</ci>
              <csymbol cd="unknown" id="p1.1.m1.1.8.cmml" xref="p1.1.m1.1.8">x</csymbol>
              <ci id="p1.1.m1.1.9.cmml" xref="p1.1.m1.1.9">)</ci>
            </cerror>
            <ci id="p1.1.m1.1.6.1.cmml" xref="p1.1.m1.1.6.1">𝑛</ci>
          </apply>
          <ci id="p1.1.m1.1.5.1.cmml" xref="p1.1.m1.1.5.1"></ci>
        </apply>
        <eq id="p1.1.m1.1.10.cmml" xref="p1.1.m1.1.10"/>
        <apply id="p1.1.m1.1.20.cmml" xref="p1.1.m1.1.20">
          <csymbol cd="ambiguous" id="p1.1.m1.1.20.1.cmml" xref="p1.1.m1.1.20">subscript</csymbol>
          <ci id="p1.1.m1.1.11.cmml" xref="p1.1.m1.1.11">𝐸</ci>
          <ci id="p1.1.m1.1.12.1.cmml" xref="p1.1.m1.1.12.1">𝑛</ci>
        </apply>
        <apply id="p1.1.m1.1.21.cmml" xref="p1.1.m1.1.21">
          <csymbol cd="ambiguous" id="p1.1.m1.1.21.1.cmml" xref="p1.1.m1.1.21">subscript</csymbol>
          <ci id="p1.1.m1.1.13.cmml" xref="p1.1.m1.1.13">Ψ</ci>
          <ci id="p1.1.m1.1.14.1.cmml" xref="p1.1.m1.1.14.1">𝑛</ci>
        </apply>
        <cerror id="p1.1.m1.1.4.cmml" xref="p1.1.m1.1.4">
          <csymbol cd="ambiguous" id="p1.1.m1.1.4a.cmml" xref="p1.1.m1.1.4">fragments</csymbol>
          <ci id="p1.1.m1.1.15.cmml" xref="p1.1.m1.1.15">(</ci>
          <csymbol cd="unknown" id="p1.1.m1.1.16.cmml" xref="p1.1.m1.1.16">x</csymbol>
          <ci id="p1.1.m1.1.17.cmml" xref="p1.1.m1.1.17">)</ci>
        </cerror>
      </cerror>
    </annotation-xml>
    <annotation encoding="application/x-tex" id="p1.1.m1.1f">{\displaystyle{\displaystyle-\frac{\hbar}{2m}\Psi^{\prime}{{{}^{\prime}}_{n}}%
\left(x\right)={{E}_{n}}{{\Psi}_{n}}\left(x\right)}}</annotation>
  </semantics>
</math>

SVG image empty. Force Re-Rendering

SVG (0 B / 8 B) :


MathML (experimental; no images) rendering

MathML (967 B / 313 B) :

2mΨ'n(x)=EnΨn(x)
<math class="mwe-math-element" xmlns="http://www.w3.org/1998/Math/MathML"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mo>&#x2212;</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mi data-mjx-alternate="1">&#x210F;</mi></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mn>2</mn><mi>m</mi></mrow></mrow></mfrac></mrow><msup><mi mathvariant="normal">&#x03A8;</mi><mo>&#x2032;</mo></msup><msub><mi>'</mi><mrow data-mjx-texclass="ORD"><mi>n</mi></mrow></msub><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><mi>x</mi><mo data-mjx-texclass="CLOSE">)</mo></mrow><mo>=</mo><msub><mi>E</mi><mrow data-mjx-texclass="ORD"><mi>n</mi></mrow></msub><msub><mi mathvariant="normal">&#x03A8;</mi><mrow data-mjx-texclass="ORD"><mi>n</mi></mrow></msub><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><mi>x</mi><mo data-mjx-texclass="CLOSE">)</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 Formaler Aufbau der Quantenmechanik page

Identifiers

  • m
  • Ψ
  • n
  • x
  • En
  • Ψn
  • x

MathML observations

0results

0results

no statistics present please run the maintenance script ExtractFeatures.php

0 results

0 results