Heisenberg Uncertainty Principle in MATLAB

[LR237787]

Hi all, I'm new to this forum and to MATLAB, but I would like to write some code that justifies the Heisenberg Uncertainty Principle. Has this been done before? If so, where can I find the code, or how can I write it myself?

Thanks!

[LR237787]

I’m also open to Python, if it makes more sense to use that.

[OceanBreeze]

On 10/13/2023 at 3:06 AM, LR237787 said:

Hi all, I'm new to this forum and to MATLAB, but I would like to write some code that justifies the Heisenberg Uncertainty Principle. Has this been done before? If so, where can I find the code, or how can I write it myself?

Thanks!

Of course, this has already been done.

Just select the option to display the math as MathML Code.

<math xmlns="http://www.w3.org/1998/Math/MathML" display="block">

  <mfrac>

    <mn>1</mn>

    <mn>2</mn>

  </mfrac>

  <mo fence="false" stretchy="false">&#x2016;<!-- ‖ --></mo>

  <mi>f</mi>

  <msubsup>

    <mo fence="false" stretchy="false">&#x2016;<!-- ‖ --></mo>

    <mn>2</mn>

    <mn>2</mn>

  </msubsup>

  <mo>&#x2264;<!-- ≤ --></mo>

  <msup>

    <mrow>

      <mo>(</mo>

      <msub>

        <mo>&#x222B;<!-- ∫ --></mo>

        <mrow class="MJX-TeXAtom-ORD">

          <mrow class="MJX-TeXAtom-ORD">

            <mi mathvariant="double-struck">R</mi>

          </mrow>

        </mrow>

      </msub>

      <mo stretchy="false">(</mo>

      <mi>x</mi>

      <mo>&#x2212;<!-- − --></mo>

      <mi>a</mi>

      <msup>

        <mo stretchy="false">)</mo>

        <mn>2</mn>

      </msup>

      <mrow class="MJX-TeXAtom-ORD">

        <mo stretchy="false">|</mo>

      </mrow>

      <mi>f</mi>

      <mo stretchy="false">(</mo>

      <mi>x</mi>

      <mo stretchy="false">)</mo>

      <msup>

        <mrow class="MJX-TeXAtom-ORD">

          <mo stretchy="false">|</mo>

        </mrow>

        <mn>2</mn>

      </msup>

      <mi>d</mi>

      <mi>x</mi>

      <mo>)</mo>

    </mrow>

    <mfrac>

      <mn>1</mn>

      <mn>2</mn>

    </mfrac>

  </msup>

  <msup>

    <mrow>

      <mo>(</mo>

      <msub>

        <mo>&#x222B;<!-- ∫ --></mo>

        <mrow class="MJX-TeXAtom-ORD">

          <mrow class="MJX-TeXAtom-ORD">

            <mi mathvariant="double-struck">R</mi>

          </mrow>

        </mrow>

      </msub>

      <mo stretchy="false">(</mo>

      <mi>&#x03BE;<!-- ξ --></mi>

      <mo>&#x2212;<!-- − --></mo>

      <mi>b</mi>

      <msup>

        <mo stretchy="false">)</mo>

        <mn>2</mn>

      </msup>

      <mrow class="MJX-TeXAtom-ORD">

        <mo stretchy="false">|</mo>

      </mrow>

      <mrow class="MJX-TeXAtom-ORD">

        <mover>

          <mi>f</mi>

          <mo stretchy="false">&#x005E;<!-- ^ --></mo>

        </mover>

      </mrow>

      <mo stretchy="false">(</mo>

      <mi>&#x03BE;<!-- ξ --></mi>

      <mo stretchy="false">)</mo>

      <msup>

        <mrow class="MJX-TeXAtom-ORD">

          <mo stretchy="false">|</mo>

        </mrow>

        <mn>2</mn>

      </msup>

      <mi>d</mi>

      <mi>&#x03BE;<!-- ξ --></mi>

      <mo>)</mo>

    </mrow>

    <mfrac>

      <mn>1</mn>

      <mn>2</mn>

    </mfrac>

  </msup>

  <mo>.</mo>

</math>