The Schrödinger equation was not <i></i>derived<i></i>, a more accurate word would be <i></i>guessed<i></i>.  It&#x27;s a fundamental law, like F = ma (although that is actually more of a definition than a law). There is no fundamental explanation why electrons obey the Schrödinger equation, just like there&#x27;s no fundamental explanation why macroscopic objects obey F = ma.