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

Publisher

OmniScriptum

Publication Date

2026

Language

English

ISBN 10

6130512384

ISBN 13

9786130512385

Binding

Taschenbuch

Condition

Neu

Dimensions

Weight

155 grams

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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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