A comprehensive study of the velocity, momentum and position matrix elements for Bloch states: Application to a local orbital basis
We present a comprehensive study of the velocity operator, $\hat{\boldsymbol{v}}=\frac{i}{\hbar} [\hat{H},\hat{\boldsymbol{r}}]\,$, when used in crystalline solids calculations. The velocity operator is key to the evaluation of a number of physical properties and its computation, both from a practic...
Main Author: | |
---|---|
Format: | Article |
Language: | English |
Published: |
SciPost
2023-01-01
|
Series: | SciPost Physics Core |
Online Access: | https://scipost.org/SciPostPhysCore.6.1.002 |