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Results tagged with angular-momentum
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user 21270
The conserved quantity arising from a rotational invariance. Combine with rotational-dynamics for the classical mechanics approach and quantum-mechanics for the QM interpretation
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Definition of Angular Momentum of a Particle
Lets us consider a Cartesian coordinate system $OXYZ$. The angular momentum $\textbf{L}$ of a particle with respect to the origin $O$ is given by
$$\textbf{L} = \textbf{r} \times \textbf{p}$$
where …
- 3,053
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Total Angular Momentum of a Hydrogen Atom
Griffiths in his celebrated book named 'Introduction to Quantum Mechanics' discusses about the total angular momentum of a hydrogen atom on page 187.
He writes:
If a hydrogen atom is in the stat …
- 3,053
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Poincare Generators in terms of Position and Momentum
The $10$ generators of the Poincare group $P(1;3)$ are $M^{\mu\nu}$ and $P^\mu$. These generators can be determined explicitly in the matrix form. However, I have found that $M^{\mu\nu}$ and $P^\mu$ a …
- 3,053