Group Theory in Physics: An Introduction with Mathematica
| Autor: | Ananthanarayan, Balasubramanian, Das, Souradeep, Lahiri, Amitabha, Sheikh, Suhas, Talukdar, Sarthak |
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| Rok vydání: | 2024 |
| Předmět: | |
| Zdroj: | Eur. Phys. J. Spec. Top. (2024) |
| Druh dokumentu: | Working Paper |
| DOI: | 10.1140/epjs/s11734-024-01245-9 |
| Popis: | Group Theory has become an invaluable tool in the physics community. Despite numerous introductory books, the subject remains challenging for beginners. Mathematica has emerged as a popular tool for research and education, offering various packages and built-in tools for Group Theory. However, these resources are often too scattered for effective educational use. This work aims to provide a comprehensive source to help beginning students grasp Group Theory concepts and their applications from a physicist's perspective, while also building familiarity with symbolic language. We present several example notebooks that succinctly cover well-known theories and demonstrate specific concepts, which can be easily adapted for educational purposes. We provide basic examples on finite, compact and non-compact groups, and motivate the use of these concepts in solving physics problems such as addition of angular momenta, modelling a system of qubits and the description of spacetime transformations. Comment: 110 pages |
| Databáze: | arXiv |
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