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* Page found: Master Gleichung (eq 31) (force rerendering)

Occurences on the following pages:

   Master Gleichung Eq: 31
TeX (as stored in database):
\begin{align}
  & {{d}_{t}}\tilde{\rho_S }=-\mathfrak{i} \operatorname{Tr}_B \left[ {{{\tilde{H}}}_{I}},{{\rho }_{0}} \right]-\int_{0}^{t}{\operatorname{Tr}_B  \left[ {{{\tilde{H}}}_{I}},\left[ {{{\tilde{H}}}_{I}},\,\tilde{\rho } \right] \right]}d{t}'
\end{align}
MathML (14.88 KB / 1.945 KB) : d t ρ S ~ = - 𝔦 Tr B [ H ~ I , ρ 0 ] - 0 t Tr B [ H ~ I , [ H ~ I , ρ ~ ] ] d t subscript d t normal-~ subscript ρ S 𝔦 subscript Tr B subscript normal-~ H I subscript ρ 0 superscript subscript 0 t subscript Tr B subscript normal-~ H I subscript normal-~ H I normal-~ ρ d superscript t normal-′ \displaystyle{{d}_{{t}}}\tilde{\rho_{S}}=-\mathfrak{i}\operatorname{Tr}_{B}% \left[{{{\tilde{H}}}_{{I}}},{{\rho}_{{0}}}\right]-\int_{{0}}^{{t}}{% \operatorname{Tr}_{B}\left[{{{\tilde{H}}}_{{I}}},\left[{{{\tilde{H}}}_{{I}}},% \,\tilde{\rho}\right]\right]}d{t}^{{\prime}}
SVG (0 B / 8 B) :
PNG (0 B / 8 B) :
Hash : 75a0b25c43e64f9a2253a89e9dec1a0d

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Variables

19 results

  • mo Tr (2/5/59)
  • mi 𝔦 (1/24/160)
  • mo (1/9/497)
  • mo ~ (5/38/722)
  • mo [ (3/27/1298)
  • mo ] (3/27/1300)
  • mi ρ (3/49/1711)
  • mo (1/6/2089)
  • mi H (3/60/2732)
  • mi B (2/13/2737)
  • mi S (1/28/3214)
  • mi d (2/13/6342)
  • mi I (3/40/7943)
  • mo , (3/33/8858)
  • mo (2/10/9643)
  • mi t (3/27/10589)
  • mo - (2/23/10795)
  • mo = (1/36/18270)
  • mo (4/85/59187)

MathML


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                <apply xml:id="S0.Ex1.m2.1.37.2.2.2.2.2.cmml" xref="S0.Ex1.m2.1.37.2.2.2.2.2">
                  <csymbol cd="ambiguous" xml:id="S0.Ex1.m2.1.37.2.2.2.2.2.1.cmml">subscript</csymbol>
                  <apply xml:id="S0.Ex1.m2.1.23.cmml" xref="S0.Ex1.m2.1.23">
                    <ci xml:id="S0.Ex1.m2.1.23.1.cmml" xref="S0.Ex1.m2.1.23.1">normal-~</ci>
                    <ci xml:id="S0.Ex1.m2.1.23.2.cmml" xref="S0.Ex1.m2.1.23.2">H</ci>
                  </apply>
                  <ci xml:id="S0.Ex1.m2.1.24.1.cmml" xref="S0.Ex1.m2.1.24.1">I</ci>
                </apply>
                <apply xml:id="S0.Ex1.m2.1.37.2.2.2.2.3.cmml" xref="S0.Ex1.m2.1.37.2.2.2.2.3">
                  <interval closure="closed" xml:id="S0.Ex1.m2.1.37.2.2.2.2.3.1.cmml"/>
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                    <csymbol cd="ambiguous" xml:id="S0.Ex1.m2.1.37.2.2.2.2.3.2.1.cmml">subscript</csymbol>
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                      <ci xml:id="S0.Ex1.m2.1.27.1.cmml" xref="S0.Ex1.m2.1.27.1">normal-~</ci>
                      <ci xml:id="S0.Ex1.m2.1.27.2.cmml" xref="S0.Ex1.m2.1.27.2">H</ci>
                    </apply>
                    <ci xml:id="S0.Ex1.m2.1.28.1.cmml" xref="S0.Ex1.m2.1.28.1">I</ci>
                  </apply>
                  <apply xml:id="S0.Ex1.m2.1.31.cmml" xref="S0.Ex1.m2.1.31">
                    <ci xml:id="S0.Ex1.m2.1.31.1.cmml" xref="S0.Ex1.m2.1.31.1">normal-~</ci>
                    <ci xml:id="S0.Ex1.m2.1.31.2.cmml" xref="S0.Ex1.m2.1.31.2">ρ</ci>
                  </apply>
                </apply>
              </apply>
              <ci xml:id="S0.Ex1.m2.1.34.cmml" xref="S0.Ex1.m2.1.34">d</ci>
              <apply xml:id="S0.Ex1.m2.1.37.2.2.2.3.cmml" xref="S0.Ex1.m2.1.37.2.2.2.3">
                <csymbol cd="ambiguous" xml:id="S0.Ex1.m2.1.37.2.2.2.3.1.cmml">superscript</csymbol>
                <ci xml:id="S0.Ex1.m2.1.35.cmml" xref="S0.Ex1.m2.1.35">t</ci>
                <ci xml:id="S0.Ex1.m2.1.36.1.cmml" xref="S0.Ex1.m2.1.36.1">normal-′</ci>
              </apply>
            </apply>
          </apply>
        </apply>
      </apply>
    </annotation-xml>
    <annotation xml:id="S0.Ex1.m2.1b" encoding="application/x-tex" xref="S0.Ex1.m2.1.cmml">\displaystyle{{d}_{{t}}}\tilde{\rho_{S}}=-\mathfrak{i}\operatorname{Tr}_{B}%
\left[{{{\tilde{H}}}_{{I}}},{{\rho}_{{0}}}\right]-\int_{{0}}^{{t}}{%
\operatorname{Tr}_{B}\left[{{{\tilde{H}}}_{{I}}},\left[{{{\tilde{H}}}_{{I}}},%
\,\tilde{\rho}\right]\right]}d{t}^{{\prime}}</annotation>
  </semantics>
</math>