Algebraic structures, such as groups, rings and fields, provide a rigorous language for expressing symmetry and invariance in numerous mathematical contexts. Their integration with the theory of ...

Superintegrable systems represent a fascinating class of models in both classical and quantum mechanics, characterised by the existence of more independent constants of motion than would be expected ...

PNAS is the world's most-cited multidisciplinary scientific serial. It publishes high-impact research reports, commentaries, perspectives, reviews, colloquium papers, and actions of the Academy. In ...

Mathematics and physics share a close, reciprocal relationship. Mathematics offers the language and tools to describe physical phenomena, while physics drives the development of new mathematical ideas ...