Jump to navigation Jump to search

General

Display information for equation id:math.229698.58 on revision:229698

* Page found: Matrix mechanics (eq math.229698.58)

(force rerendering)

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

Occurrences on the following pages:

Hash: 35cad2b27888e8aef98728ab271828ff

TeX (original user input):

[X_i ,P_j ] = i\delta_{ij}
\, .

TeX (checked):

[X_{i},P_{j}]=i\delta _{ij}\,.

LaTeXML (experimental; uses MathML) rendering

MathML (3.917 KB / 824 B) :

[ X i , P j ] = i δ i j . subscript 𝑋 𝑖 subscript 𝑃 𝑗 𝑖 subscript 𝛿 𝑖 𝑗 {\displaystyle[X_{i},P_{j}]=i\delta_{{ij}}\,.}
<math xmlns="http://www.w3.org/1998/Math/MathML" id="p1.1.m1.1" class="ltx_Math" alttext="{\displaystyle[X_{i},P_{j}]=i\delta_{{ij}}\,.}" display="inline">
  <semantics id="p1.1.m1.1a">
    <mrow id="p1.1.m1.1.14" xref="p1.1.m1.1.14.2.cmml">
      <mrow id="p1.1.m1.1.14.2" xref="p1.1.m1.1.14.2.cmml">
        <mrow id="p1.1.m1.1.14.2.1" xref="p1.1.m1.1.14.2.1.1.cmml">
          <mo stretchy="false" id="p1.1.m1.1.1" xref="p1.1.m1.1.14.2.1.1.cmml">[</mo>
          <msub id="p1.1.m1.1.14.2.1.2" xref="p1.1.m1.1.14.2.1.2.cmml">
            <mi id="p1.1.m1.1.2" xref="p1.1.m1.1.2.cmml">X</mi>
            <mi id="p1.1.m1.1.3.1" xref="p1.1.m1.1.3.1.cmml">i</mi>
          </msub>
          <mo id="p1.1.m1.1.4" xref="p1.1.m1.1.14.2.1.1.cmml">,</mo>
          <msub id="p1.1.m1.1.14.2.1.3" xref="p1.1.m1.1.14.2.1.3.cmml">
            <mi id="p1.1.m1.1.5" xref="p1.1.m1.1.5.cmml">P</mi>
            <mi id="p1.1.m1.1.6.1" xref="p1.1.m1.1.6.1.cmml">j</mi>
          </msub>
          <mo stretchy="false" id="p1.1.m1.1.7" xref="p1.1.m1.1.14.2.1.1.cmml">]</mo>
        </mrow>
        <mo id="p1.1.m1.1.8" xref="p1.1.m1.1.8.cmml">=</mo>
        <mrow id="p1.1.m1.1.14.2.2" xref="p1.1.m1.1.14.2.2.cmml">
          <mi id="p1.1.m1.1.9" xref="p1.1.m1.1.9.cmml">i</mi>
          <mo id="p1.1.m1.1.14.2.2.1" xref="p1.1.m1.1.14.2.2.1.cmml"></mo>
          <mpadded width="+1.7pt" id="p1.1.m1.1.14.2.2.2" xref="p1.1.m1.1.14.2.2.2.cmml">
            <msub id="p1.1.m1.1.14.2.2.2a" xref="p1.1.m1.1.14.2.2.2.cmml">
              <mi id="p1.1.m1.1.10" xref="p1.1.m1.1.10.cmml">δ</mi>
              <mrow id="p1.1.m1.1.11.1" xref="p1.1.m1.1.11.1.cmml">
                <mi id="p1.1.m1.1.11.1.1" xref="p1.1.m1.1.11.1.1.cmml">i</mi>
                <mo id="p1.1.m1.1.11.1.3" xref="p1.1.m1.1.11.1.3.cmml"></mo>
                <mi id="p1.1.m1.1.11.1.2" xref="p1.1.m1.1.11.1.2.cmml">j</mi>
              </mrow>
            </msub>
          </mpadded>
        </mrow>
      </mrow>
      <mo id="p1.1.m1.1.13" xref="p1.1.m1.1.14.2.cmml">.</mo>
    </mrow>
    <annotation-xml encoding="MathML-Content" id="p1.1.m1.1b">
      <apply id="p1.1.m1.1.14.2.cmml" xref="p1.1.m1.1.14">
        <eq id="p1.1.m1.1.8.cmml" xref="p1.1.m1.1.8"/>
        <interval closure="closed" id="p1.1.m1.1.14.2.1.1.cmml" xref="p1.1.m1.1.14.2.1">
          <apply id="p1.1.m1.1.14.2.1.2.cmml" xref="p1.1.m1.1.14.2.1.2">
            <csymbol cd="ambiguous" id="p1.1.m1.1.14.2.1.2.1.cmml" xref="p1.1.m1.1.14.2.1.2">subscript</csymbol>
            <ci id="p1.1.m1.1.2.cmml" xref="p1.1.m1.1.2">𝑋</ci>
            <ci id="p1.1.m1.1.3.1.cmml" xref="p1.1.m1.1.3.1">𝑖</ci>
          </apply>
          <apply id="p1.1.m1.1.14.2.1.3.cmml" xref="p1.1.m1.1.14.2.1.3">
            <csymbol cd="ambiguous" id="p1.1.m1.1.14.2.1.3.1.cmml" xref="p1.1.m1.1.14.2.1.3">subscript</csymbol>
            <ci id="p1.1.m1.1.5.cmml" xref="p1.1.m1.1.5">𝑃</ci>
            <ci id="p1.1.m1.1.6.1.cmml" xref="p1.1.m1.1.6.1">𝑗</ci>
          </apply>
        </interval>
        <apply id="p1.1.m1.1.14.2.2.cmml" xref="p1.1.m1.1.14.2.2">
          <times id="p1.1.m1.1.14.2.2.1.cmml" xref="p1.1.m1.1.14.2.2.1"/>
          <ci id="p1.1.m1.1.9.cmml" xref="p1.1.m1.1.9">𝑖</ci>
          <apply id="p1.1.m1.1.14.2.2.2.cmml" xref="p1.1.m1.1.14.2.2.2">
            <csymbol cd="ambiguous" id="p1.1.m1.1.14.2.2.2.1.cmml" xref="p1.1.m1.1.14.2.2.2">subscript</csymbol>
            <ci id="p1.1.m1.1.10.cmml" xref="p1.1.m1.1.10">𝛿</ci>
            <apply id="p1.1.m1.1.11.1.cmml" xref="p1.1.m1.1.11.1">
              <times id="p1.1.m1.1.11.1.3.cmml" xref="p1.1.m1.1.11.1.3"/>
              <ci id="p1.1.m1.1.11.1.1.cmml" xref="p1.1.m1.1.11.1.1">𝑖</ci>
              <ci id="p1.1.m1.1.11.1.2.cmml" xref="p1.1.m1.1.11.1.2">𝑗</ci>
            </apply>
          </apply>
        </apply>
      </apply>
    </annotation-xml>
    <annotation encoding="application/x-tex" id="p1.1.m1.1c">{\displaystyle[X_{i},P_{j}]=i\delta_{{ij}}\,.}</annotation>
  </semantics>
</math>

SVG (6.958 KB / 2.657 KB) :

left-bracket upper X Subscript i Baseline comma upper P Subscript j Baseline right-bracket equals i times delta Subscript i times j Baseline period

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: [X[i], P[j]]= i*delta[i*j]

Information about the conversion process:

\delta: Could be the first Feigenbaum constant.

But this system don't know how to translate it as a constant. It was translated as a general letter.


i: You use a typical letter for a constant [the imaginary unit == the principal square root of -1].

We keep it like it is! But you should know that Maple uses I for this constant.

If you want to translate it as a constant, use the corresponding DLMF macro \iunit



Translation to Mathematica

In Mathematica: [Subscript[X, i], Subscript[P, j]]= i*Subscript[\[Delta], i*j]

Information about the conversion process:

\delta: Could be the first Feigenbaum constant.

But this system don't know how to translate it as a constant. It was translated as a general letter.


i: You use a typical letter for a constant [the imaginary unit == the principal square root of -1].

We keep it like it is! But you should know that Mathematica uses I for this constant.

If you want to translate it as a constant, use the corresponding DLMF macro \iunit



Similar pages

Calculated based on the variables occurring on the entire Matrix mechanics page

Identifiers

MathML observations

0results

0results

no statistics present please run the maintenance script ExtractFeatures.php

0 results

0 results