An Algebraic Approach to Light–Matter Interactions
Abstract A theoretical and computational framework for the study and engineering of light–matter interactions is reviewed in here. The framework rests on the invariance properties of electromagnetism, and is formalized in a Hilbert space whose conformally invariant scalar product provides connection...
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| Format: | Article |
| Language: | English |
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Wiley-VCH
2025-01-01
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| Series: | Advanced Physics Research |
| Subjects: | |
| Online Access: | https://doi.org/10.1002/apxr.202400088 |
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| Summary: | Abstract A theoretical and computational framework for the study and engineering of light–matter interactions is reviewed in here. The framework rests on the invariance properties of electromagnetism, and is formalized in a Hilbert space whose conformally invariant scalar product provides connections to physical quantities, such as the energy or momentum of a given field, or the outcome of measurements. The light–matter interaction is modeled by the polychromatic scattering operator, which establishes a natural connection to a popular computational formalism, the transition matrix, or T‐matrix. This review contains a succinct yet comprehensive description of the main theoretical ideas, and illustrates some of the practical benefits of the approach. |
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| ISSN: | 2751-1200 |