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...
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| Format: | Article |
| Language: | English |
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SciPost
2023-01-01
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| Series: | SciPost Physics Core |
| Online Access: | https://scipost.org/SciPostPhysCore.6.1.002 |