In quantum many-body systems, the emergence of complex interactions generally prevents the straightforward application of conventional analytical methods such as direct solution of the Schrödinger equation, variation theory, or the WKB approximation. An alternative algebraic perspective—employing techniques such as representation theory, reduction transformations, and gauge transformations—provide successful ways by identifying the hidden Lie algebra underlying a given problem. On the other hand, few-body systems remain challenging, as their symmetries are limited rather than N-body cases. In this work, we demonstrate that by incorporating geometric insight, one may establishes a meaningful connection between the mathematical structure and the physical content of the problem.
Rahmati,H. (2026). Lie Algebraic Approaches to Advanced Few-Body Hamiltonians in Physics. Transactions in Theoretical and Mathematical Physics, 3(1), 20-24. doi: 10.30511/ttmp.2026.2086335.1072
MLA
Rahmati,H. . "Lie Algebraic Approaches to Advanced Few-Body Hamiltonians in Physics", Transactions in Theoretical and Mathematical Physics, 3, 1, 2026, 20-24. doi: 10.30511/ttmp.2026.2086335.1072
HARVARD
Rahmati H. (2026). 'Lie Algebraic Approaches to Advanced Few-Body Hamiltonians in Physics', Transactions in Theoretical and Mathematical Physics, 3(1), pp. 20-24. doi: 10.30511/ttmp.2026.2086335.1072
CHICAGO
H. Rahmati, "Lie Algebraic Approaches to Advanced Few-Body Hamiltonians in Physics," Transactions in Theoretical and Mathematical Physics, 3 1 (2026): 20-24, doi: 10.30511/ttmp.2026.2086335.1072
VANCOUVER
Rahmati H. Lie Algebraic Approaches to Advanced Few-Body Hamiltonians in Physics. TTMP, 2026; 3(1): 20-24. doi: 10.30511/ttmp.2026.2086335.1072
