Solving the Schrödinger Equation for Quantum Harmonic Oscillators.

<p>The Schr&ouml;dinger equation can be thought of as the equivalent to the Newton&rsquo;s second law but in the quantum world. In the Schr&ouml;dinger equation, the&nbsp;<strong>wave function (&Psi;)&nbsp;</strong>is used to describe the quantum particle. The quantum<strong>&nbsp;Hamiltonian (H)</strong>&nbsp;is an operator which corresponds to the kinetic and potential energy of the system. The Hamiltonian operates on the wavefunction giving a set of&nbsp;<strong>energy eigenvalues</strong>&nbsp;which are the possible values of the energy of the system.</p> <p>Now back to our harmonic oscillator system. How can we describe it quantumly? First, we develop the Hamiltonian operator into the&nbsp;<strong>kinetic</strong>&nbsp;and the&nbsp;<strong>potential</strong>&nbsp;energy parts:</p> <p><a href="https://medium.com/@rodenasespada/solving-the-schr%C3%B6dinger-equation-for-quantum-harmonic-oscillators-b97c44c13d72"><strong>Read More</strong></a></p>