https://gdpark.blog/tags/ladder-operators/Recent content in Ladder Operators on gdpark.blogHugoenFri, 14 Aug 2015 00:00:00 +0000https://gdpark.blog/posts/quantum-mechanics-07-the-harmonic-oscillator-and-ladder-operators/Thu, 13 Aug 2015 00:00:00 +0000https://gdpark.blog/posts/quantum-mechanics-07-the-harmonic-oscillator-and-ladder-operators/We tackle case 2 of V(x) — the harmonic oscillator — unpack why springs are <em>everywhere</em> in physics, then get into ladder operators to solve it.https://gdpark.blog/posts/quantum-mechanics-08-ladder-operators/Thu, 13 Aug 2015 00:00:00 +0000https://gdpark.blog/posts/quantum-mechanics-08-ladder-operators/We pick up the ladder-operator trick to climb from the ground state through every ψ_n, then chase down the normalization constants c_n and d_n purely in terms of n.https://gdpark.blog/posts/quantum-mechanics-09-algebraic-solution-to-the-harmonic-oscillator/Fri, 14 Aug 2015 00:00:00 +0000https://gdpark.blog/posts/quantum-mechanics-09-algebraic-solution-to-the-harmonic-oscillator/Picking up right where we left off — muscling through the harmonic oscillator&rsquo;s Schrödinger equation with a slick substitution and some algebraic tricks!