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Quantum Bound State

By Alexander Gavrilenko1, Heng Li1

1. Norfolk State University

Kronig-Penney Potential

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Version 1 - published on 25 Jan 2007

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.

References

  • Quantum Mechanics by Herbert Kroemer
  • Cite this work

    Researchers should cite this work as follows:

    • Alexander Gavrilenko; Heng Li (2007), "Quantum Bound State," http://nanohub.org/resources/electromat. (DOI: 10.4231/D3R785N7C).

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