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- W1624229637 abstract "A rigorous application of the correspondence rules shows that the operator of the angular momentum of a quantum particle---corresponding to the classical magnitude $mathbf{l}= m mathbf{r} wedge mathbf{v}$---is given by $mathbf{hat{l}}=mathbf{r}wedge(-ihbarmathbf{nabla} -frac{e}{c}mathbf{A})$ in the presence of an electromagnetic field. Thus, despite the general opinion on the corresponding rules of quantization, the eigenvalues of the angular momentum depend on the configuration of the electromagnetic field. The usual rules of commutation $[{hat{l}}_i,{hat{l}}_j]=ihbarepsilon_{ijk}{hat{l}}_k$, that are at the foundation of the calculus of angular momentum and of the theory of emph{spin}---and Bohm's example of the EPR argument---are not valid in the presence of an electromagnetic field. The expected value of the operator $mathbf{hat{l}}=-ihbarmathbf{r}wedgemathbf{nabla}$ is not gauge invariant, it depends on the calibration of the electrodynamic potentials." @default.
- W1624229637 created "2016-06-24" @default.
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- W1624229637 date "2003-05-09" @default.
- W1624229637 modified "2023-10-18" @default.
- W1624229637 title "Remarks on the Theory of Angular Momenta" @default.
- W1624229637 cites W2022708042 @default.
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- W1624229637 doi "https://doi.org/10.48550/arxiv.quant-ph/0305049" @default.
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