General Display information for equation id:math.1593.8 on revision:1593
* Page found: Kontinuitätsgleichung (Quantenmechnik) (eq math.1593.8)
(force rerendering) Occurrences on the following pages:
Hash: 42f5427214b1115abd08eb87661c17d5
TeX (original user input):
\frac { \partial }{ \partial t}{{ \left | \Psi (\bar { r} ,t) \right |}^{ 2}} +\nabla \cdot \bar { j} =0
TeX (checked):
{ \frac { \partial }{ \partial t}}{{ \left |\Psi ({ \bar { r}} ,t)\right |}^{ 2}} +\nabla \cdot { \bar { j}} =0
LaTeXML (experimentell; verwendet MathML) rendering Ausklappen MathML (6.07 KB / 1.16 KB) :
∂
∂
t
|
Ψ
(
r
¯
,
t
)
|
2
+
∇
⋅
j
¯
=
0
𝑡
superscript
Ψ
¯
𝑟
𝑡
2
⋅
∇
¯
𝑗
0
{\displaystyle{\displaystyle\frac{\partial}{\partial t}{{\left|\Psi(\bar{r},t)%
\right|}^{2}}+\nabla\cdot\bar{j}=0}}
<math xmlns= "http://www.w3.org/1998/Math/MathML" id= "p1.1.m1.1" class= "ltx_Math" alttext= "{\displaystyle{\displaystyle\frac{\partial}{\partial t}{{\left|\Psi(\bar{r},t)% \right|}^{2}}+\nabla\cdot\bar{j}=0}}" display= "inline" >
<semantics id= "p1.1.m1.1a" >
<mrow id= "p1.1.m1.1.17" xref= "p1.1.m1.1.17.cmml" >
<mrow id= "p1.1.m1.1.17.1" xref= "p1.1.m1.1.17.1.cmml" >
<mrow id= "p1.1.m1.1.17.1.1" xref= "p1.1.m1.1.17.1.1.cmml" >
<mstyle displaystyle= "true" id= "p1.1.m1.1.1" xref= "p1.1.m1.1.1.cmml" >
<mfrac id= "p1.1.m1.1.1a" xref= "p1.1.m1.1.1.cmml" >
<mo id= "p1.1.m1.1.1.2" xref= "p1.1.m1.1.1.2.cmml" > ∂</mo>
<mrow id= "p1.1.m1.1.1.3" xref= "p1.1.m1.1.1.3.cmml" >
<mo id= "p1.1.m1.1.1.3.1" xref= "p1.1.m1.1.1.3.1.cmml" > ∂</mo>
<mo id= "p1.1.m1.1.1.3a" xref= "p1.1.m1.1.1.3.cmml" > </mo>
<mi id= "p1.1.m1.1.1.3.2" xref= "p1.1.m1.1.1.3.2.cmml" > t</mi>
</mrow>
</mfrac>
</mstyle>
<mo id= "p1.1.m1.1.17.1.1.1" xref= "p1.1.m1.1.17.1.1.1.cmml" > </mo>
<msup id= "p1.1.m1.1.17.1.1.2" xref= "p1.1.m1.1.17.1.1.2.cmml" >
<mrow id= "p1.1.m1.1.17.1.1.2.2" xref= "p1.1.m1.1.17.1.1.2.2.1.cmml" >
<mo id= "p1.1.m1.1.2" xref= "p1.1.m1.1.17.1.1.2.2.1.1.cmml" > |</mo>
<mrow id= "p1.1.m1.1.17.1.1.2.2.2" xref= "p1.1.m1.1.17.1.1.2.2.2.cmml" >
<mi mathvariant= "normal" id= "p1.1.m1.1.3" xref= "p1.1.m1.1.3.cmml" > Ψ</mi>
<mo id= "p1.1.m1.1.17.1.1.2.2.2.1" xref= "p1.1.m1.1.17.1.1.2.2.2.1.cmml" > </mo>
<mrow id= "p1.1.m1.1.17.1.1.2.2.2.2" xref= "p1.1.m1.1.17.1.1.2.2.2.2.1.cmml" >
<mo stretchy= "false" id= "p1.1.m1.1.4" xref= "p1.1.m1.1.17.1.1.2.2.2.2.1.cmml" > (</mo>
<mover accent= "true" id= "p1.1.m1.1.5" xref= "p1.1.m1.1.5.cmml" >
<mi id= "p1.1.m1.1.5.2" xref= "p1.1.m1.1.5.2.cmml" > r</mi>
<mo stretchy= "false" id= "p1.1.m1.1.5.1" xref= "p1.1.m1.1.5.1.cmml" > ¯</mo>
</mover>
<mo id= "p1.1.m1.1.6" xref= "p1.1.m1.1.17.1.1.2.2.2.2.1.cmml" > ,</mo>
<mi id= "p1.1.m1.1.7" xref= "p1.1.m1.1.7.cmml" > t</mi>
<mo stretchy= "false" id= "p1.1.m1.1.8" xref= "p1.1.m1.1.17.1.1.2.2.2.2.1.cmml" > )</mo>
</mrow>
</mrow>
<mo id= "p1.1.m1.1.9" xref= "p1.1.m1.1.17.1.1.2.2.1.1.cmml" > |</mo>
</mrow>
<mn id= "p1.1.m1.1.10.1" xref= "p1.1.m1.1.10.1.cmml" > 2</mn>
</msup>
</mrow>
<mo id= "p1.1.m1.1.11" xref= "p1.1.m1.1.11.cmml" > +</mo>
<mrow id= "p1.1.m1.1.17.1.2" xref= "p1.1.m1.1.17.1.2.cmml" >
<mo id= "p1.1.m1.1.12" xref= "p1.1.m1.1.12.cmml" > ∇</mo>
<mo id= "p1.1.m1.1.13" xref= "p1.1.m1.1.13.cmml" > ⋅</mo>
<mover accent= "true" id= "p1.1.m1.1.14" xref= "p1.1.m1.1.14.cmml" >
<mi id= "p1.1.m1.1.14.2" xref= "p1.1.m1.1.14.2.cmml" > j</mi>
<mo stretchy= "false" id= "p1.1.m1.1.14.1" xref= "p1.1.m1.1.14.1.cmml" > ¯</mo>
</mover>
</mrow>
</mrow>
<mo id= "p1.1.m1.1.15" xref= "p1.1.m1.1.15.cmml" > =</mo>
<mn id= "p1.1.m1.1.16" xref= "p1.1.m1.1.16.cmml" > 0</mn>
</mrow>
<annotation-xml encoding= "MathML-Content" id= "p1.1.m1.1b" >
<apply id= "p1.1.m1.1.17.cmml" xref= "p1.1.m1.1.17" >
<eq id= "p1.1.m1.1.15.cmml" xref= "p1.1.m1.1.15" />
<apply id= "p1.1.m1.1.17.1.cmml" xref= "p1.1.m1.1.17.1" >
<plus id= "p1.1.m1.1.11.cmml" xref= "p1.1.m1.1.11" />
<apply id= "p1.1.m1.1.17.1.1.cmml" xref= "p1.1.m1.1.17.1.1" >
<times id= "p1.1.m1.1.17.1.1.1.cmml" xref= "p1.1.m1.1.17.1.1.1" />
<apply id= "p1.1.m1.1.1.cmml" xref= "p1.1.m1.1.1" >
<divide id= "p1.1.m1.1.1.1.cmml" xref= "p1.1.m1.1.1" />
<partialdiff id= "p1.1.m1.1.1.2.cmml" xref= "p1.1.m1.1.1.2" />
<apply id= "p1.1.m1.1.1.3.cmml" xref= "p1.1.m1.1.1.3" >
<partialdiff id= "p1.1.m1.1.1.3.1.cmml" xref= "p1.1.m1.1.1.3.1" />
<ci id= "p1.1.m1.1.1.3.2.cmml" xref= "p1.1.m1.1.1.3.2" > 𝑡</ci>
</apply>
</apply>
<apply id= "p1.1.m1.1.17.1.1.2.cmml" xref= "p1.1.m1.1.17.1.1.2" >
<csymbol cd= "ambiguous" id= "p1.1.m1.1.17.1.1.2.1.cmml" xref= "p1.1.m1.1.17.1.1.2" > superscript</csymbol>
<apply id= "p1.1.m1.1.17.1.1.2.2.1.cmml" xref= "p1.1.m1.1.17.1.1.2.2" >
<abs id= "p1.1.m1.1.17.1.1.2.2.1.1.cmml" xref= "p1.1.m1.1.2" />
<apply id= "p1.1.m1.1.17.1.1.2.2.2.cmml" xref= "p1.1.m1.1.17.1.1.2.2.2" >
<times id= "p1.1.m1.1.17.1.1.2.2.2.1.cmml" xref= "p1.1.m1.1.17.1.1.2.2.2.1" />
<ci id= "p1.1.m1.1.3.cmml" xref= "p1.1.m1.1.3" > Ψ</ci>
<interval closure= "open" id= "p1.1.m1.1.17.1.1.2.2.2.2.1.cmml" xref= "p1.1.m1.1.17.1.1.2.2.2.2" >
<apply id= "p1.1.m1.1.5.cmml" xref= "p1.1.m1.1.5" >
<ci id= "p1.1.m1.1.5.1.cmml" xref= "p1.1.m1.1.5.1" > ¯</ci>
<ci id= "p1.1.m1.1.5.2.cmml" xref= "p1.1.m1.1.5.2" > 𝑟</ci>
</apply>
<ci id= "p1.1.m1.1.7.cmml" xref= "p1.1.m1.1.7" > 𝑡</ci>
</interval>
</apply>
</apply>
<cn type= "integer" id= "p1.1.m1.1.10.1.cmml" xref= "p1.1.m1.1.10.1" > 2</cn>
</apply>
</apply>
<apply id= "p1.1.m1.1.17.1.2.cmml" xref= "p1.1.m1.1.17.1.2" >
<ci id= "p1.1.m1.1.13.cmml" xref= "p1.1.m1.1.13" > ⋅</ci>
<ci id= "p1.1.m1.1.12.cmml" xref= "p1.1.m1.1.12" > ∇</ci>
<apply id= "p1.1.m1.1.14.cmml" xref= "p1.1.m1.1.14" >
<ci id= "p1.1.m1.1.14.1.cmml" xref= "p1.1.m1.1.14.1" > ¯</ci>
<ci id= "p1.1.m1.1.14.2.cmml" xref= "p1.1.m1.1.14.2" > 𝑗</ci>
</apply>
</apply>
</apply>
<cn type= "integer" id= "p1.1.m1.1.16.cmml" xref= "p1.1.m1.1.16" > 0</cn>
</apply>
</annotation-xml>
<annotation encoding= "application/x-tex" id= "p1.1.m1.1c" > {\displaystyle{\displaystyle\frac{\partial}{\partial t}{{\left|\Psi(\bar{r},t)%
\right|}^{2}}+\nabla\cdot\bar{j}=0}}</annotation>
</semantics>
</math>
SVG image empty. Force Re-Rendering
SVG (0 B / 8 B) :
MathML (experimentell; keine Bilder) rendering Ausklappen MathML (965 B / 332 B) :
∂ ∂ t | Ψ ( r ¯ , t ) | 2 + ∇ ⋅ j ¯ = 0 <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" ><mfrac><mrow data-mjx-texclass= "ORD" ><mi> ∂ </mi></mrow><mrow data-mjx-texclass= "ORD" ><mrow data-mjx-texclass= "ORD" ><mi> ∂ </mi><mi> t</mi></mrow></mrow></mfrac></mrow><msup><mrow data-mjx-texclass= "INNER" ><mo data-mjx-texclass= "OPEN" > |</mo><mi mathvariant= "normal" > Ψ </mi><mo stretchy= "false" > (</mo><mrow data-mjx-texclass= "ORD" ><mrow data-mjx-texclass= "ORD" ><mover><mi> r</mi><mo> ¯</mo></mover></mrow></mrow><mo> ,</mo><mi> t</mi><mo stretchy= "false" > )</mo><mo data-mjx-texclass= "CLOSE" > |</mo></mrow><mrow data-mjx-texclass= "ORD" ><mn> 2</mn></mrow></msup><mo> +</mo><mi mathvariant= "normal" > ∇ </mi><mo> ⋅ </mo><mrow data-mjx-texclass= "ORD" ><mrow data-mjx-texclass= "ORD" ><mover><mi> j</mi><mo> ¯</mo></mover></mrow></mrow><mo> =</mo><mn> 0</mn></mstyle></mrow></math>
Translations to Computer Algebra Systems Translation to Maple Translation to Mathematica Ausklappen In Mathematica:
Similar pages Calculated based on the variables occurring on the entire Kontinuitätsgleichung (Quantenmechnik) page
Identifiers MathML observations 0results
0results
no statistics present please run the maintenance script ExtractFeatures.php
0 results
0 results