Jump to navigation Jump to search

General

Display information for equation id:math.218553.6 on revision:218553

* Page found: Antiparticle (eq math.218553.6)

(force rerendering)

Cannot find the equation data in the database. Fetching from revision text.

Occurrences on the following pages:

Hash: 740fd87ca26c65a928c8db2cdfae6809

TeX (original user input):

H=\sum_{k} E(k) a^\dagger_k a_k,\,

TeX (checked):

H=\sum _{k}E(k)a_{k}^{\dagger }a_{k},\,

LaTeXML (experimental; uses MathML) rendering

MathML (4.411 KB / 889 B) :

H = k E ( k ) a k a k , 𝐻 subscript 𝑘 𝐸 𝑘 superscript subscript 𝑎 𝑘 subscript 𝑎 𝑘 {\displaystyle H=\sum_{{k}}E(k)a_{k}^{\dagger}a_{k},\,}
<math xmlns="http://www.w3.org/1998/Math/MathML" id="p1.1.m1.1" class="ltx_Math" alttext="{\displaystyle H=\sum_{{k}}E(k)a_{k}^{\dagger}a_{k},\,}" display="inline">
  <semantics id="p1.1.m1.1a">
    <mrow id="p1.1.m1.1.16" xref="p1.1.m1.1.16.2.cmml">
      <mrow id="p1.1.m1.1.16.2" xref="p1.1.m1.1.16.2.cmml">
        <mi id="p1.1.m1.1.1" xref="p1.1.m1.1.1.cmml">H</mi>
        <mo id="p1.1.m1.1.2" xref="p1.1.m1.1.2.cmml">=</mo>
        <mrow id="p1.1.m1.1.16.2.1" xref="p1.1.m1.1.16.2.1.cmml">
          <mstyle displaystyle="true" id="p1.1.m1.1.16.2.1.1" xref="p1.1.m1.1.16.2.1.1.cmml">
            <munder id="p1.1.m1.1.16.2.1.1a" xref="p1.1.m1.1.16.2.1.1.cmml">
              <mo largeop="true" movablelimits="false" symmetric="true" id="p1.1.m1.1.3" xref="p1.1.m1.1.3.cmml"></mo>
              <mi id="p1.1.m1.1.4.1" xref="p1.1.m1.1.4.1.cmml">k</mi>
            </munder>
          </mstyle>
          <mrow id="p1.1.m1.1.16.2.1.2" xref="p1.1.m1.1.16.2.1.2.cmml">
            <mi id="p1.1.m1.1.5" xref="p1.1.m1.1.5.cmml">E</mi>
            <mo id="p1.1.m1.1.16.2.1.2.1" xref="p1.1.m1.1.16.2.1.2.1.cmml"></mo>
            <mrow id="p1.1.m1.1.16.2.1.2.2" xref="p1.1.m1.1.16.2.1.2.cmml">
              <mo stretchy="false" id="p1.1.m1.1.6" xref="p1.1.m1.1.16.2.1.2.cmml">(</mo>
              <mi id="p1.1.m1.1.7" xref="p1.1.m1.1.7.cmml">k</mi>
              <mo stretchy="false" id="p1.1.m1.1.8" xref="p1.1.m1.1.16.2.1.2.cmml">)</mo>
            </mrow>
            <mo id="p1.1.m1.1.16.2.1.2.1a" xref="p1.1.m1.1.16.2.1.2.1.cmml"></mo>
            <msubsup id="p1.1.m1.1.16.2.1.2.3" xref="p1.1.m1.1.16.2.1.2.3.cmml">
              <mi id="p1.1.m1.1.9" xref="p1.1.m1.1.9.cmml">a</mi>
              <mi id="p1.1.m1.1.10.1" xref="p1.1.m1.1.10.1.cmml">k</mi>
              <mo id="p1.1.m1.1.11.1" xref="p1.1.m1.1.11.1.cmml"></mo>
            </msubsup>
            <mo id="p1.1.m1.1.16.2.1.2.1b" xref="p1.1.m1.1.16.2.1.2.1.cmml"></mo>
            <msub id="p1.1.m1.1.16.2.1.2.4" xref="p1.1.m1.1.16.2.1.2.4.cmml">
              <mi id="p1.1.m1.1.12" xref="p1.1.m1.1.12.cmml">a</mi>
              <mi id="p1.1.m1.1.13.1" xref="p1.1.m1.1.13.1.cmml">k</mi>
            </msub>
          </mrow>
        </mrow>
      </mrow>
      <mo rspace="4.2pt" id="p1.1.m1.1.14" xref="p1.1.m1.1.16.2.cmml">,</mo>
    </mrow>
    <annotation-xml encoding="MathML-Content" id="p1.1.m1.1b">
      <apply id="p1.1.m1.1.16.2.cmml" xref="p1.1.m1.1.16">
        <eq id="p1.1.m1.1.2.cmml" xref="p1.1.m1.1.2"/>
        <ci id="p1.1.m1.1.1.cmml" xref="p1.1.m1.1.1">𝐻</ci>
        <apply id="p1.1.m1.1.16.2.1.cmml" xref="p1.1.m1.1.16.2.1">
          <apply id="p1.1.m1.1.16.2.1.1.cmml" xref="p1.1.m1.1.16.2.1.1">
            <csymbol cd="ambiguous" id="p1.1.m1.1.16.2.1.1.1.cmml" xref="p1.1.m1.1.16.2.1.1">subscript</csymbol>
            <sum id="p1.1.m1.1.3.cmml" xref="p1.1.m1.1.3"/>
            <ci id="p1.1.m1.1.4.1.cmml" xref="p1.1.m1.1.4.1">𝑘</ci>
          </apply>
          <apply id="p1.1.m1.1.16.2.1.2.cmml" xref="p1.1.m1.1.16.2.1.2">
            <times id="p1.1.m1.1.16.2.1.2.1.cmml" xref="p1.1.m1.1.16.2.1.2.1"/>
            <ci id="p1.1.m1.1.5.cmml" xref="p1.1.m1.1.5">𝐸</ci>
            <ci id="p1.1.m1.1.7.cmml" xref="p1.1.m1.1.7">𝑘</ci>
            <apply id="p1.1.m1.1.16.2.1.2.3.cmml" xref="p1.1.m1.1.16.2.1.2.3">
              <csymbol cd="ambiguous" id="p1.1.m1.1.16.2.1.2.3.1.cmml" xref="p1.1.m1.1.16.2.1.2.3">superscript</csymbol>
              <apply id="p1.1.m1.1.16.2.1.2.3.2.cmml" xref="p1.1.m1.1.16.2.1.2.3">
                <csymbol cd="ambiguous" id="p1.1.m1.1.16.2.1.2.3.2.1.cmml" xref="p1.1.m1.1.16.2.1.2.3">subscript</csymbol>
                <ci id="p1.1.m1.1.9.cmml" xref="p1.1.m1.1.9">𝑎</ci>
                <ci id="p1.1.m1.1.10.1.cmml" xref="p1.1.m1.1.10.1">𝑘</ci>
              </apply>
              <ci id="p1.1.m1.1.11.1.cmml" xref="p1.1.m1.1.11.1"></ci>
            </apply>
            <apply id="p1.1.m1.1.16.2.1.2.4.cmml" xref="p1.1.m1.1.16.2.1.2.4">
              <csymbol cd="ambiguous" id="p1.1.m1.1.16.2.1.2.4.1.cmml" xref="p1.1.m1.1.16.2.1.2.4">subscript</csymbol>
              <ci id="p1.1.m1.1.12.cmml" xref="p1.1.m1.1.12">𝑎</ci>
              <ci id="p1.1.m1.1.13.1.cmml" xref="p1.1.m1.1.13.1">𝑘</ci>
            </apply>
          </apply>
        </apply>
      </apply>
    </annotation-xml>
    <annotation encoding="application/x-tex" id="p1.1.m1.1c">{\displaystyle H=\sum_{{k}}E(k)a_{k}^{\dagger}a_{k},\,}</annotation>
  </semantics>
</math>

SVG (8.598 KB / 3.36 KB) :

upper H equals sigma-summation Underscript k Endscripts upper E times left-parenthesis k right-parenthesis times a Subscript k Superscript dagger Baseline times a Subscript k Baseline comma

MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools) rendering

MathML (0 B / 8 B) :

SVG image empty. Force Re-Rendering

SVG (0 B / 8 B) :


PNG (0 B / 8 B) :


Translations to Computer Algebra Systems

Translation to Maple

In Maple:

Cannot translate operation \dagger - Reason: An unknown or missing element occurred

Translation to Mathematica

In Mathematica:

Cannot translate operation \dagger - Reason: An unknown or missing element occurred

Similar pages

Calculated based on the variables occurring on the entire Antiparticle page

Identifiers

MathML observations

0results

0results

no statistics present please run the maintenance script ExtractFeatures.php

0 results

0 results