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 |
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| Online Access: | https://doi.org/10.1002/apxr.202400088 |
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| author | Ivan Fernandez‐Corbaton |
| author_facet | Ivan Fernandez‐Corbaton |
| author_sort | Ivan Fernandez‐Corbaton |
| collection | DOAJ |
| description | 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. |
| format | Article |
| id | doaj-art-fcc9bd558f1f4cbbbe5cc5f5325e3d43 |
| institution | Kabale University |
| issn | 2751-1200 |
| language | English |
| publishDate | 2025-01-01 |
| publisher | Wiley-VCH |
| record_format | Article |
| series | Advanced Physics Research |
| spelling | doaj-art-fcc9bd558f1f4cbbbe5cc5f5325e3d432025-01-10T12:23:42ZengWiley-VCHAdvanced Physics Research2751-12002025-01-0141n/an/a10.1002/apxr.202400088An Algebraic Approach to Light–Matter InteractionsIvan Fernandez‐Corbaton0Institute of Nanotechnology Karlsruhe Institute of Technology Kaiserstrasse 12 76131 Karlsruhe GermanyAbstract 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.https://doi.org/10.1002/apxr.202400088conformal symmetryhilbert spacelight–matter interactionsT‐matrix |
| spellingShingle | Ivan Fernandez‐Corbaton An Algebraic Approach to Light–Matter Interactions Advanced Physics Research conformal symmetry hilbert space light–matter interactions T‐matrix |
| title | An Algebraic Approach to Light–Matter Interactions |
| title_full | An Algebraic Approach to Light–Matter Interactions |
| title_fullStr | An Algebraic Approach to Light–Matter Interactions |
| title_full_unstemmed | An Algebraic Approach to Light–Matter Interactions |
| title_short | An Algebraic Approach to Light–Matter Interactions |
| title_sort | algebraic approach to light matter interactions |
| topic | conformal symmetry hilbert space light–matter interactions T‐matrix |
| url | https://doi.org/10.1002/apxr.202400088 |
| work_keys_str_mv | AT ivanfernandezcorbaton analgebraicapproachtolightmatterinteractions AT ivanfernandezcorbaton algebraicapproachtolightmatterinteractions |