The Particle in a Box

Pick up any introductory Quantum Mechanics textbook and, more than likely, the first problem you will see is the particle in the box – otherwise known as the particle in an infinite well. It is portrayed as a simple system. However, it is deceptively simple.  Close scrutiny shows that it is a more complicated problem than what it appears to be on the surface. I have explored an alternative viewpoint to this decades old problem and am posting it to this site.