Jump to navigation Jump to search

General

Display information for equation id:math.2707.104 on revision:2707

* Page found: Formaler Aufbau der Quantenmechanik (eq math.2707.104)

(force rerendering)

Occurrences on the following pages:

Hash: ec0d32e876d8bde7fabe686abd6be3b3

TeX (original user input): 

\mathfrak{i} {{\partial }_{t}}\left| \Psi \left( t \right) \right\rangle =\hat{H}\left( t \right)\left| \Psi \left( t \right) \right\rangle

TeX (checked): 

{\mathfrak {i}}{{\partial }_{t}}\left|\Psi \left(t\right)\right\rangle ={\hat {H}}\left(t\right)\left|\Psi \left(t\right)\right\rangle

LaTeXML (experimental; uses MathML) rendering

MathML (5.624 KB / 1.017 KB) :

𝔦 ⁢ ∂ t ⁢ | Ψ ⁢ ( t ) ⟩ = H ^ ⁢ ( t ) ⁢ | Ψ ⁢ ( t ) ⟩ 𝔦 subscript 𝑡 ket Ψ 𝑡 ^ 𝐻 𝑡 ket Ψ 𝑡 {\displaystyle{\displaystyle\mathfrak{i}{{\partial}_{t}}\left|\Psi\left(t% \right)\right\rangle=\hat{H}\left(t\right)\left|\Psi\left(t\right)\right% \rangle}} 
<math xmlns="http://www.w3.org/1998/Math/MathML" id="p1.1.m1.1" class="ltx_Math" alttext="{\displaystyle{\displaystyle\mathfrak{i}{{\partial}_{t}}\left|\Psi\left(t%&#10;\right)\right\rangle=\hat{H}\left(t\right)\left|\Psi\left(t\right)\right%&#10;\rangle}}" display="inline">
  <semantics id="p1.1.m1.1a">
    <mrow id="p1.1.m1.1.21" xref="p1.1.m1.1.21.cmml">
      <mrow id="p1.1.m1.1.21.1" xref="p1.1.m1.1.21.1.cmml">
        <mi id="p1.1.m1.1.1" xref="p1.1.m1.1.1.cmml">𝔦</mi>
        <mo id="p1.1.m1.1.21.1.1" xref="p1.1.m1.1.21.1.1.cmml">⁢</mo>
        <msub id="p1.1.m1.1.21.1.2" xref="p1.1.m1.1.21.1.2.cmml">
          <mo id="p1.1.m1.1.2" xref="p1.1.m1.1.2.cmml">∂</mo>
          <mi id="p1.1.m1.1.3.1" xref="p1.1.m1.1.3.1.cmml">t</mi>
        </msub>
        <mo id="p1.1.m1.1.21.1.1a" xref="p1.1.m1.1.21.1.1.cmml">⁢</mo>
        <mrow id="p1.1.m1.1.21.1.3" xref="p1.1.m1.1.21.1.3.1.cmml">
          <mo fence="true" id="p1.1.m1.1.4" xref="p1.1.m1.1.21.1.3.1.1.cmml">|</mo>
          <mrow id="p1.1.m1.1.21.1.3.2" xref="p1.1.m1.1.21.1.3.2.cmml">
            <mi mathvariant="normal" id="p1.1.m1.1.5" xref="p1.1.m1.1.5.cmml">Ψ</mi>
            <mo id="p1.1.m1.1.21.1.3.2.1" xref="p1.1.m1.1.21.1.3.2.1.cmml">⁢</mo>
            <mrow id="p1.1.m1.1.21.1.3.2.2" xref="p1.1.m1.1.21.1.3.2.cmml">
              <mo id="p1.1.m1.1.6" xref="p1.1.m1.1.21.1.3.2.cmml">(</mo>
              <mi id="p1.1.m1.1.7" xref="p1.1.m1.1.7.cmml">t</mi>
              <mo id="p1.1.m1.1.8" xref="p1.1.m1.1.21.1.3.2.cmml">)</mo>
            </mrow>
          </mrow>
          <mo id="p1.1.m1.1.9" xref="p1.1.m1.1.21.1.3.1.1.cmml">⟩</mo>
        </mrow>
      </mrow>
      <mo id="p1.1.m1.1.10" xref="p1.1.m1.1.10.cmml">=</mo>
      <mrow id="p1.1.m1.1.21.2" xref="p1.1.m1.1.21.2.cmml">
        <mover accent="true" id="p1.1.m1.1.11" xref="p1.1.m1.1.11.cmml">
          <mi id="p1.1.m1.1.11.2" xref="p1.1.m1.1.11.2.cmml">H</mi>
          <mo stretchy="false" id="p1.1.m1.1.11.1" xref="p1.1.m1.1.11.1.cmml">^</mo>
        </mover>
        <mo id="p1.1.m1.1.21.2.1" xref="p1.1.m1.1.21.2.1.cmml">⁢</mo>
        <mrow id="p1.1.m1.1.21.2.2" xref="p1.1.m1.1.21.2.cmml">
          <mo id="p1.1.m1.1.12" xref="p1.1.m1.1.21.2.cmml">(</mo>
          <mi id="p1.1.m1.1.13" xref="p1.1.m1.1.13.cmml">t</mi>
          <mo id="p1.1.m1.1.14" xref="p1.1.m1.1.21.2.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.m1.1.21.2.3" xref="p1.1.m1.1.21.2.3.1.cmml">
          <mo fence="true" id="p1.1.m1.1.15" xref="p1.1.m1.1.21.2.3.1.1.cmml">|</mo>
          <mrow id="p1.1.m1.1.21.2.3.2" xref="p1.1.m1.1.21.2.3.2.cmml">
            <mi mathvariant="normal" id="p1.1.m1.1.16" xref="p1.1.m1.1.16.cmml">Ψ</mi>
            <mo id="p1.1.m1.1.21.2.3.2.1" xref="p1.1.m1.1.21.2.3.2.1.cmml">⁢</mo>
            <mrow id="p1.1.m1.1.21.2.3.2.2" xref="p1.1.m1.1.21.2.3.2.cmml">
              <mo id="p1.1.m1.1.17" xref="p1.1.m1.1.21.2.3.2.cmml">(</mo>
              <mi id="p1.1.m1.1.18" xref="p1.1.m1.1.18.cmml">t</mi>
              <mo id="p1.1.m1.1.19" xref="p1.1.m1.1.21.2.3.2.cmml">)</mo>
            </mrow>
          </mrow>
          <mo id="p1.1.m1.1.20" xref="p1.1.m1.1.21.2.3.1.1.cmml">⟩</mo>
        </mrow>
      </mrow>
    </mrow>
    <annotation-xml encoding="MathML-Content" id="p1.1.m1.1b">
      <apply id="p1.1.m1.1.21.cmml" xref="p1.1.m1.1.21">
        <eq id="p1.1.m1.1.10.cmml" xref="p1.1.m1.1.10"/>
        <apply id="p1.1.m1.1.21.1.cmml" xref="p1.1.m1.1.21.1">
          <times id="p1.1.m1.1.21.1.1.cmml" xref="p1.1.m1.1.21.1.1"/>
          <ci id="p1.1.m1.1.1.cmml" xref="p1.1.m1.1.1">𝔦</ci>
          <apply id="p1.1.m1.1.21.1.2.cmml" xref="p1.1.m1.1.21.1.2">
            <csymbol cd="ambiguous" id="p1.1.m1.1.21.1.2.1.cmml" xref="p1.1.m1.1.21.1.2">subscript</csymbol>
            <partialdiff id="p1.1.m1.1.2.cmml" xref="p1.1.m1.1.2"/>
            <ci id="p1.1.m1.1.3.1.cmml" xref="p1.1.m1.1.3.1">𝑡</ci>
          </apply>
          <apply id="p1.1.m1.1.21.1.3.1.cmml" xref="p1.1.m1.1.21.1.3">
            <csymbol cd="latexml" id="p1.1.m1.1.21.1.3.1.1.cmml" xref="p1.1.m1.1.4">ket</csymbol>
            <apply id="p1.1.m1.1.21.1.3.2.cmml" xref="p1.1.m1.1.21.1.3.2">
              <times id="p1.1.m1.1.21.1.3.2.1.cmml" xref="p1.1.m1.1.21.1.3.2.1"/>
              <ci id="p1.1.m1.1.5.cmml" xref="p1.1.m1.1.5">Ψ</ci>
              <ci id="p1.1.m1.1.7.cmml" xref="p1.1.m1.1.7">𝑡</ci>
            </apply>
          </apply>
        </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.m1.1.11.cmml" xref="p1.1.m1.1.11">
            <ci id="p1.1.m1.1.11.1.cmml" xref="p1.1.m1.1.11.1">^</ci>
            <ci id="p1.1.m1.1.11.2.cmml" xref="p1.1.m1.1.11.2">𝐻</ci>
          </apply>
          <ci id="p1.1.m1.1.13.cmml" xref="p1.1.m1.1.13">𝑡</ci>
          <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.m1.1.15">ket</csymbol>
            <apply id="p1.1.m1.1.21.2.3.2.cmml" xref="p1.1.m1.1.21.2.3.2">
              <times id="p1.1.m1.1.21.2.3.2.1.cmml" xref="p1.1.m1.1.21.2.3.2.1"/>
              <ci id="p1.1.m1.1.16.cmml" xref="p1.1.m1.1.16">Ψ</ci>
              <ci id="p1.1.m1.1.18.cmml" xref="p1.1.m1.1.18">𝑡</ci>
            </apply>
          </apply>
        </apply>
      </apply>
    </annotation-xml>
    <annotation encoding="application/x-tex" id="p1.1.m1.1c">{\displaystyle{\displaystyle\mathfrak{i}{{\partial}_{t}}\left|\Psi\left(t%
\right)\right\rangle=\hat{H}\left(t\right)\left|\Psi\left(t\right)\right%
\rangle}}</annotation>
  </semantics>
</math>

SVG image empty. Force Re-Rendering

SVG (0 B / 8 B) :


MathML (experimental; no images) rendering

MathML (1.116 KB / 299 B) :

i∂t|Ψ(t)⟩=H^(t)|Ψ(t)⟩
<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="ORD"><mrow data-mjx-texclass="ORD"><mi mathvariant="fraktur">i</mi></mrow></mrow><msub><mi>&#x2202;</mi><mrow data-mjx-texclass="ORD"><mi>t</mi></mrow></msub><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">|</mo><mi mathvariant="normal">&#x03A8;</mi><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><mi>t</mi><mo data-mjx-texclass="CLOSE">)</mo></mrow><mo data-mjx-texclass="CLOSE">&#x27E9;</mo></mrow><mo>=</mo><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mover><mi>H</mi><mo>^</mo></mover></mrow></mrow><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><mi>t</mi><mo data-mjx-texclass="CLOSE">)</mo></mrow><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">|</mo><mi mathvariant="normal">&#x03A8;</mi><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><mi>t</mi><mo data-mjx-texclass="CLOSE">)</mo></mrow><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 Formaler Aufbau der Quantenmechanik page

Identifiers

  • i
  • t
  • Ψ
  • t
  • H^
  • t
  • Ψ
  • t

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"