Particle in a One-dimensional Lattice (Periodic Potential): Crystal Structure, Quantum Mechanics, Particle in a Box, Free Electron Model, Electromagnetic Field, Bloch Wave - Couverture souple

 
9786130512385: Particle in a One-dimensional Lattice (Periodic Potential): Crystal Structure, Quantum Mechanics, Particle in a Box, Free Electron Model, Electromagnetic Field, Bloch Wave

Synopsis

Please note that the content of this book primarily consists of articles available from Wikipedia or other free sources online. In quantum mechanics, the particle in a one-dimensional lattice is a problem that occurs in the model of a periodic crystal lattice. The problem can be simplified from the 3D infinite potential barrier (particle in a box) to a one-dimensional case. The potential is caused by ions in the periodic structure of the crystal creating an electromagnetic field so electrons are subject to a regular potential inside the lattice. This is an extension of the free electron model that assumes zero potential inside the lattice. In solid-state physics, the free electron model is a simple model for the behaviour of valence electrons in a crystal structure of a metallic solid. It was developed principally by Arnold Sommerfeld who combined the classical Drude model with quantum mechanical Fermi-Dirac statistics.

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