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## Quantum Bound State

Kronig-Penney Potential

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**Archive** Version **1**

Published on 25 Jan 2007 All versions

doi:10.4231/D3R785N7C cite this

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#### Abstract

**Particle in a box** - The particle in a box (or the infinite potential well) is a simple idealized system that is completely solved within quantum mechanics. The infinite potential well is a finite sized region in space (the box) with an infinite potential at its boundaries (the walls). A particle experiences no forces while inside the box, but as the walls are 'infinitely high', it is constrained to remain in the box.

**Simple Harmonic Oscillator** - One of the most important model system in quantum mechanics because a wide variety of physical situations can be reduced to it either exactly or approximately. In particular, a system near an equilibrium configuration can often be described in terms of one or more harmonic oscillators. Furthermore, it is one of the few quantum mechanical systems for which a simple exact solution is known.

#### Credits

Thanks to Mikhail Noginov and Vladimir Gavrilenko for helping with the theory.

Center for Materials Science, Norfolk State University.

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