Tag: Harmonic

Solution to the Simple Harmonic Motion Differential Equation

Simple harmonic motion (SHM) is a relatively common aspect of classical mechanics and in this article I will be solving the following differential equation that illustrates SHM: Note that this does indeed represent SHM if we recall the definition that SHM occurs when an object is subject to a...

Solution to the Simple Harmonic Motion Differential Equation

Simple harmonic motion (SHM) is a relatively common aspect of classical mechanics and in this article I will be solving the following differential equation that illustrates SHM: Note that this does indeed represent SHM if we recall the definition that SHM occurs when an object is subject to a...

Solving the Schr??dinger Equation for Quantum Harmonic Oscillators.

The Schrödinger equation can be thought of as the equivalent to the Newton’s second law but in the quantum world. In the Schrödinger equation, the wave function (Ψ) is used to describe the quantum particle. The quantum Hamiltonian (H) is an operator which corr...