Symmetries for thought. (English) Zbl 1299.70029
Summary: This paper covers several topics that involve symmetries of differential equations: from the connection between Lie symmetries and the Jacobi last multiplier with a detour to the inverse problem of calculus of variations, to the importance of the maximal group of Noether symmetries on the road from classical to quantum mechanics.
MSC:
70G65 | Symmetries, Lie group and Lie algebra methods for problems in mechanics |
37J15 | Symmetries, invariants, invariant manifolds, momentum maps, reduction (MSC2010) |
70S10 | Symmetries and conservation laws in mechanics of particles and systems |
81S05 | Commutation relations and statistics as related to quantum mechanics (general) |