Least-square approach for singular value decompositions of scattering problems
| Autor: | Tichai, A., Arthuis, P., Hebeler, K., Heinz, M., Hoppe, J., Schwenk, A., Zurek, L. |
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| Rok vydání: | 2022 |
| Předmět: | |
| Zdroj: | Physical Review C |
| DOI: | 10.48550/arxiv.2205.10087 |
| Popis: | It was recently observed that chiral two-body interactions can be efficiently represented using matrix factorization techniques such as the singular value decomposition. However, the exploitation of these low-rank structures in a few- or many-body framework is nontrivial and requires reformulations that explicitly utilize the decomposition format. In this work, we present a general least-square approach that is applicable to different few- and many-body frameworks and allows for an efficient reduction to a low number of singular values in the least-square iteration. We verify the feasibility of the least-square approach by solving the Lippmann-Schwinger equation in factorized form. The resulting low-rank approximations of the $T$ matrix are found to fully capture scattering observables. Potential applications of the least-square approach to other frameworks with the goal of employing tensor factorization techniques are discussed. Comment: 8 pages, 4 figures, 1 table, version accepted at Phys. Rev. C |
| Databáze: | OpenAIRE |
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