Quantum Infinite Square Well

<h1>Quantum Infinite Square Well</h1>
<p>This animation shows the time evolution of a quantum particle in an infinite square well potential. The blue line represents the probability density of finding the particle at different positions within the well.</p>

<canvas id="quantumWell" style="border:1px solid #000000; margin: 20px 0;"></canvas>

<h2>Physics Behind the Animation</h2>
<p>The wave function of a particle in an infinite square well is given by:</p>
<p>ψ(x,t) = √(2/L) * sin(nπx/L) * exp(-iEt/ℏ)</p>
<p>where:</p>
<ul>
    <li>L is the width of the well</li>
    <li>n is the quantum number (n=1 in this animation)</li>
    <li>E is the energy of the state</li>
    <li>ℏ is the reduced Planck's constant</li>
</ul>

<p>The probability density |ψ|² shows where the particle is most likely to be found within the well.</p>
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