Jump to navigation Jump to search

General

Display information for equation id:math.347.3 on revision:347

* Page found: Liouville-von-Neumann-Gleichung (eq math.347.3)

(force rerendering)

Occurrences on the following pages:

Hash: 1c2ca7c28019db849e72ab34ae8f2b18

TeX (original user input): 

{\mathfrak{i}{\partial }_{t}}\Psi (t) =\hat{H}\Psi (t)

LaTeXML (experimental; uses MathML) rendering

MathML (3.83 KB / 818 B) :

𝔦 ⁢ ∂ t ⁡ Ψ ⁢ ( t ) = H ^ ⁢ Ψ ⁢ ( t ) 𝔦 subscript 𝑡 Ψ 𝑡 ^ 𝐻 Ψ 𝑡 {\displaystyle{\displaystyle{\mathfrak{i}{\partial}_{t}}\Psi(t)=\hat{H}\Psi(t)}} 
<math xmlns="http://www.w3.org/1998/Math/MathML" id="p1.1.m1.1" class="ltx_Math" alttext="{\displaystyle{\displaystyle{\mathfrak{i}{\partial}_{t}}\Psi(t)=\hat{H}\Psi(t)}}" display="inline">
  <semantics id="p1.1.m1.1a">
    <mrow id="p1.1.m1.1.14" xref="p1.1.m1.1.14.cmml">
      <mrow id="p1.1.m1.1.14.1" xref="p1.1.m1.1.14.1.cmml">
        <mi id="p1.1.m1.1.1" xref="p1.1.m1.1.1.cmml">𝔦</mi>
        <mo id="p1.1.m1.1.14.1.1" xref="p1.1.m1.1.14.1.1.cmml">⁢</mo>
        <mrow id="p1.1.m1.1.14.1.2" xref="p1.1.m1.1.14.1.2.cmml">
          <msub id="p1.1.m1.1.14.1.2.1" xref="p1.1.m1.1.14.1.2.1.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.m1.1.14.1.2a" xref="p1.1.m1.1.14.1.2.cmml">⁡</mo>
          <mi mathvariant="normal" id="p1.1.m1.1.4" xref="p1.1.m1.1.4.cmml">Ψ</mi>
        </mrow>
        <mo id="p1.1.m1.1.14.1.1a" xref="p1.1.m1.1.14.1.1.cmml">⁢</mo>
        <mrow id="p1.1.m1.1.14.1.3" xref="p1.1.m1.1.14.1.cmml">
          <mo stretchy="false" id="p1.1.m1.1.5" xref="p1.1.m1.1.14.1.cmml">(</mo>
          <mi id="p1.1.m1.1.6" xref="p1.1.m1.1.6.cmml">t</mi>
          <mo stretchy="false" id="p1.1.m1.1.7" xref="p1.1.m1.1.14.1.cmml">)</mo>
        </mrow>
      </mrow>
      <mo id="p1.1.m1.1.8" xref="p1.1.m1.1.8.cmml">=</mo>
      <mrow id="p1.1.m1.1.14.2" xref="p1.1.m1.1.14.2.cmml">
        <mover accent="true" id="p1.1.m1.1.9" xref="p1.1.m1.1.9.cmml">
          <mi id="p1.1.m1.1.9.2" xref="p1.1.m1.1.9.2.cmml">H</mi>
          <mo stretchy="false" id="p1.1.m1.1.9.1" xref="p1.1.m1.1.9.1.cmml">^</mo>
        </mover>
        <mo id="p1.1.m1.1.14.2.1" xref="p1.1.m1.1.14.2.1.cmml">⁢</mo>
        <mi mathvariant="normal" id="p1.1.m1.1.10" xref="p1.1.m1.1.10.cmml">Ψ</mi>
        <mo id="p1.1.m1.1.14.2.1a" xref="p1.1.m1.1.14.2.1.cmml">⁢</mo>
        <mrow id="p1.1.m1.1.14.2.2" xref="p1.1.m1.1.14.2.cmml">
          <mo stretchy="false" id="p1.1.m1.1.11" xref="p1.1.m1.1.14.2.cmml">(</mo>
          <mi id="p1.1.m1.1.12" xref="p1.1.m1.1.12.cmml">t</mi>
          <mo stretchy="false" id="p1.1.m1.1.13" xref="p1.1.m1.1.14.2.cmml">)</mo>
        </mrow>
      </mrow>
    </mrow>
    <annotation-xml encoding="MathML-Content" id="p1.1.m1.1b">
      <apply id="p1.1.m1.1.14.cmml" xref="p1.1.m1.1.14">
        <eq id="p1.1.m1.1.8.cmml" xref="p1.1.m1.1.8"/>
        <apply id="p1.1.m1.1.14.1.cmml" xref="p1.1.m1.1.14.1">
          <times id="p1.1.m1.1.14.1.1.cmml" xref="p1.1.m1.1.14.1.1"/>
          <ci id="p1.1.m1.1.1.cmml" xref="p1.1.m1.1.1">𝔦</ci>
          <apply id="p1.1.m1.1.14.1.2.cmml" xref="p1.1.m1.1.14.1.2">
            <apply id="p1.1.m1.1.14.1.2.1.cmml" xref="p1.1.m1.1.14.1.2.1">
              <csymbol cd="ambiguous" id="p1.1.m1.1.14.1.2.1.1.cmml" xref="p1.1.m1.1.14.1.2.1">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>
            <ci id="p1.1.m1.1.4.cmml" xref="p1.1.m1.1.4">Ψ</ci>
          </apply>
          <ci id="p1.1.m1.1.6.cmml" xref="p1.1.m1.1.6">𝑡</ci>
        </apply>
        <apply id="p1.1.m1.1.14.2.cmml" xref="p1.1.m1.1.14.2">
          <times id="p1.1.m1.1.14.2.1.cmml" xref="p1.1.m1.1.14.2.1"/>
          <apply id="p1.1.m1.1.9.cmml" xref="p1.1.m1.1.9">
            <ci id="p1.1.m1.1.9.1.cmml" xref="p1.1.m1.1.9.1">^</ci>
            <ci id="p1.1.m1.1.9.2.cmml" xref="p1.1.m1.1.9.2">𝐻</ci>
          </apply>
          <ci id="p1.1.m1.1.10.cmml" xref="p1.1.m1.1.10">Ψ</ci>
          <ci id="p1.1.m1.1.12.cmml" xref="p1.1.m1.1.12">𝑡</ci>
        </apply>
      </apply>
    </annotation-xml>
    <annotation encoding="application/x-tex" id="p1.1.m1.1c">{\displaystyle{\displaystyle{\mathfrak{i}{\partial}_{t}}\Psi(t)=\hat{H}\Psi(t)}}</annotation>
  </semantics>
</math>

SVG image empty. Force Re-Rendering

SVG (0 B / 8 B) :


SVG (MathML can be enabled via browser plugin) rendering

MathML (1.433 KB / 433 B) :

i ∂ t Ψ ( t ) = H ^ Ψ ( t ) {\displaystyle {{\mathfrak {i}}{\partial }_{t}}\Psi (t)={\hat {H}}\Psi (t)} 
<math xmlns="http://www.w3.org/1998/Math/MathML" display="block" alttext="{\displaystyle {{\mathfrak {i}}{\partial }_{t}}\Psi (t)={\hat {H}}\Psi (t)}">
  <semantics>
    <mrow class="MJX-TeXAtom-ORD">
      <mstyle displaystyle="true" scriptlevel="0">
        <mrow class="MJX-TeXAtom-ORD">
          <mrow class="MJX-TeXAtom-ORD">
            <mrow class="MJX-TeXAtom-ORD">
              <mi mathvariant="fraktur">i</mi>
            </mrow>
          </mrow>
          <msub>
            <mrow class="MJX-TeXAtom-ORD">
              <mi mathvariant="normal">&#x2202;<!-- ∂ --></mi>
            </mrow>
            <mrow class="MJX-TeXAtom-ORD">
              <mi>t</mi>
            </mrow>
          </msub>
        </mrow>
        <mi mathvariant="normal">&#x03A8;<!-- Ψ --></mi>
        <mo stretchy="false">(</mo>
        <mi>t</mi>
        <mo stretchy="false">)</mo>
        <mo>=</mo>
        <mrow class="MJX-TeXAtom-ORD">
          <mrow class="MJX-TeXAtom-ORD">
            <mover>
              <mi>H</mi>
              <mo stretchy="false">&#x005E;<!-- ^ --></mo>
            </mover>
          </mrow>
        </mrow>
        <mi mathvariant="normal">&#x03A8;<!-- Ψ --></mi>
        <mo stretchy="false">(</mo>
        <mi>t</mi>
        <mo stretchy="false">)</mo>
      </mstyle>
    </mrow>
    <annotation encoding="application/x-tex">{\displaystyle {{\mathfrak {i}}{\partial }_{t}}\Psi (t)={\hat {H}}\Psi (t)}</annotation>
  </semantics>
</math>

SVG (5.7 KB / 2.589 KB) :

{\displaystyle {{\mathfrak {i}}{\partial }_{t}}\Psi (t)={\hat {H}}\Psi (t)}

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 Liouville-von-Neumann-Gleichung 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"