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A Guide to Rotations in Quantum Mechanics
Abstract
To lay a foundation for the study and use of rotation operators in graduate quantum mechanics and in research, a thorough discussion is presented of rotations in Euclidean three space (R3 ) and of their effect on kets in the Hilbert space of a single particle. The Wigner D-matrices are obtained and used to rotate spherical harmonics. An extensive ready-reference appendix of the properties of these matrices, expressed in a consistent notation, is provided. Careful attention is paid throughout to various conventions (e.g. active versus passive viewpoints) that are used in the literature.
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Cited by
Symmetry-Adapted Machine Learning for Tensorial Properties of Atomistic Systems
Grisafi, A., Wilkins, D. M., Csányi, G., & Ceriotti, M. (2018) · Physical Review Letters · doi:10.1103/physrevlett.120.036002 · Cited by 309
Metadata
- Authors
- A Morrison, M., & A Parker, G.
- Venue
- Australian Journal of Physics
- Publisher
- CSIRO Publishing
- Published
- 1987-08-01
- Volume
- 40
- Issue
- 4
- Pages
- 465-498
- ISSN
- 0004-9506 (ISSN-L)
- 1446-5582
- OpenAlex
- W2078096876
- Cited by
- 165
- References
- 0
- FWCI
- 3.12
- Type
- journal article
- Language
- en
- Open access
- closed
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Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).
Semantic Scholar’s data is described in: Kinney, R., et al. (2023). The Semantic Scholar Open Data Platform. arXiv:2301.10140.
